BibTeX records: Dongyang Shi

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@article{DBLP:journals/amc/ShiZ24a,
  author       = {Dongyang Shi and
                  Sihui Zhang},
  title        = {Unconditional superconvergence analysis of an energy-stable \emph{L}1
                  scheme for coupled nonlinear time-fractional prey-predator equations
                  with nonconforming finite element},
  journal      = {Appl. Math. Comput.},
  volume       = {467},
  pages        = {128494},
  year         = {2024},
  url          = {https://doi.org/10.1016/j.amc.2023.128494},
  doi          = {10.1016/J.AMC.2023.128494},
  timestamp    = {Mon, 05 Feb 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiZ24a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cam/WuS24,
  author       = {Yanmi Wu and
                  Dongyang Shi},
  title        = {Optimal error estimates of an H\({}^{\mbox{1}}\)-Galerkin mixed finite
                  element method for nonlinear Kirchhoff-type problem},
  journal      = {Comput. Appl. Math.},
  volume       = {43},
  number       = {1},
  pages        = {55},
  year         = {2024},
  url          = {https://doi.org/10.1007/s40314-023-02549-7},
  doi          = {10.1007/S40314-023-02549-7},
  timestamp    = {Wed, 31 Jan 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cam/WuS24.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/ShiZ24,
  author       = {Dongyang Shi and
                  Lingen Zhang},
  title        = {Unconditional superconvergence analysis of modified finite difference
                  streamlined diffusion method for nonlinear convection-dominated diffusion
                  equation},
  journal      = {Comput. Math. Appl.},
  volume       = {153},
  pages        = {81--93},
  year         = {2024},
  url          = {https://doi.org/10.1016/j.camwa.2023.11.020},
  doi          = {10.1016/J.CAMWA.2023.11.020},
  timestamp    = {Fri, 12 Jan 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/ShiZ24.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/ShiQ24,
  author       = {Dongyang Shi and
                  Zhenqi Qi},
  title        = {Unconditional superconvergence analysis of an energy-preserving finite
                  element scheme for nonlinear {BBM} equation},
  journal      = {Comput. Math. Appl.},
  volume       = {153},
  pages        = {172--185},
  year         = {2024},
  url          = {https://doi.org/10.1016/j.camwa.2023.11.026},
  doi          = {10.1016/J.CAMWA.2023.11.026},
  timestamp    = {Fri, 12 Jan 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/ShiQ24.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cnsns/WangS24,
  author       = {Ran Wang and
                  Dongyang Shi},
  title        = {Superconvergence analysis of an H1-Galerkin mixed {FEM} for Klein-Gordon-Zakharov
                  equations with power law nonlinearity},
  journal      = {Commun. Nonlinear Sci. Numer. Simul.},
  volume       = {130},
  pages        = {107787},
  year         = {2024},
  url          = {https://doi.org/10.1016/j.cnsns.2023.107787},
  doi          = {10.1016/J.CNSNS.2023.107787},
  timestamp    = {Tue, 06 Feb 2024 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cnsns/WangS24.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/YangS23,
  author       = {Huaijun Yang and
                  Dongyang Shi},
  title        = {Unconditionally superconvergent error estimates of a linearized Galerkin
                  finite element method for the nonlinear thermistor problem},
  journal      = {Adv. Comput. Math.},
  volume       = {49},
  number       = {3},
  pages        = {33},
  year         = {2023},
  url          = {https://doi.org/10.1007/s10444-023-10038-y},
  doi          = {10.1007/S10444-023-10038-Y},
  timestamp    = {Fri, 07 Jul 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/adcm/YangS23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiZ23,
  author       = {Dongyang Shi and
                  Sihui Zhang},
  title        = {Unconditional superconvergence analysis for the nonlinear Bi-flux
                  diffusion equation},
  journal      = {Appl. Math. Comput.},
  volume       = {442},
  pages        = {127771},
  year         = {2023},
  url          = {https://doi.org/10.1016/j.amc.2022.127771},
  doi          = {10.1016/J.AMC.2022.127771},
  timestamp    = {Sun, 15 Jan 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiZ23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/ShiJ23,
  author       = {Dongyang Shi and
                  Xu Jia},
  title        = {Convergence analysis of the Galerkin finite element method for the
                  fourth-order Rosenau equation},
  journal      = {Appl. Math. Lett.},
  volume       = {135},
  pages        = {108432},
  year         = {2023},
  url          = {https://doi.org/10.1016/j.aml.2022.108432},
  doi          = {10.1016/J.AML.2022.108432},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/appml/ShiJ23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/ShiZ23,
  author       = {Dongyang Shi and
                  Sihui Zhang},
  title        = {Unconditional superconvergence analysis of an energy-stable {C-N}
                  fully discrete scheme for the nonlinear magnetic diffusion model with
                  memory},
  journal      = {Appl. Math. Lett.},
  volume       = {145},
  pages        = {108726},
  year         = {2023},
  url          = {https://doi.org/10.1016/j.aml.2023.108726},
  doi          = {10.1016/J.AML.2023.108726},
  timestamp    = {Thu, 31 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/appml/ShiZ23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/LiuS23,
  author       = {Qian Liu and
                  Dongyang Shi},
  title        = {Superconvergence error analysis of an efficient mixed finite element
                  method for time-dependent natural convection problem},
  journal      = {Comput. Math. Appl.},
  volume       = {131},
  pages        = {68--81},
  year         = {2023},
  url          = {https://doi.org/10.1016/j.camwa.2022.11.032},
  doi          = {10.1016/J.CAMWA.2022.11.032},
  timestamp    = {Fri, 19 May 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/cma/LiuS23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/ShiJ23,
  author       = {Dongyang Shi and
                  Peng Jian},
  title        = {Superconvergence analysis of finite element method for nonlinear semiconductor
                  device problem},
  journal      = {Comput. Math. Appl.},
  volume       = {138},
  pages        = {1--22},
  year         = {2023},
  url          = {https://doi.org/10.1016/j.camwa.2023.02.008},
  doi          = {10.1016/J.CAMWA.2023.02.008},
  timestamp    = {Fri, 19 May 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/cma/ShiJ23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cnsns/ShiL23,
  author       = {Dongyang Shi and
                  Chaoqun Li},
  title        = {A linearized decoupled Crank-Nicolson {FEM} for Keller-Segel chemotactic
                  model with nonlinear secretion},
  journal      = {Commun. Nonlinear Sci. Numer. Simul.},
  volume       = {118},
  pages        = {107063},
  year         = {2023},
  url          = {https://doi.org/10.1016/j.cnsns.2022.107063},
  doi          = {10.1016/J.CNSNS.2022.107063},
  timestamp    = {Sat, 29 Apr 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/cnsns/ShiL23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cnsns/YangS23,
  author       = {Huaijun Yang and
                  Dongyang Shi},
  title        = {A novel approach of unconditional optimal error estimate of linearized
                  and conservative Galerkin {FEM} for Klein-Gordon-Schr{\"{o}}dinger
                  equations},
  journal      = {Commun. Nonlinear Sci. Numer. Simul.},
  volume       = {123},
  pages        = {107286},
  year         = {2023},
  url          = {https://doi.org/10.1016/j.cnsns.2023.107286},
  doi          = {10.1016/J.CNSNS.2023.107286},
  timestamp    = {Sun, 25 Jun 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/cnsns/YangS23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cnsns/ZhangSS23,
  author       = {Sihui Zhang and
                  Xiangyu Shi and
                  Dongyang Shi},
  title        = {Nonconforming modified Quasi-Wilson finite element method for convection-diffusion-reaction
                  equation},
  journal      = {Commun. Nonlinear Sci. Numer. Simul.},
  volume       = {125},
  pages        = {107333},
  year         = {2023},
  url          = {https://doi.org/10.1016/j.cnsns.2023.107333},
  doi          = {10.1016/J.CNSNS.2023.107333},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/cnsns/ZhangSS23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cnsns/ShiM23,
  author       = {Dongyang Shi and
                  He Ma},
  title        = {Unconditional superconvergence analysis of a modified nonconforming
                  energy stable {BDF2} {FEM} for Sobolev equations with Burgers' type
                  nonlinearity},
  journal      = {Commun. Nonlinear Sci. Numer. Simul.},
  volume       = {126},
  pages        = {107440},
  year         = {2023},
  url          = {https://doi.org/10.1016/j.cnsns.2023.107440},
  doi          = {10.1016/J.CNSNS.2023.107440},
  timestamp    = {Fri, 24 Nov 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cnsns/ShiM23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cnsns/ShiQ23,
  author       = {Dongyang Shi and
                  Zhenqi Qi},
  title        = {Unconditional superconvergence analysis of an energy conservation
                  scheme with Galerkin {FEM} for nonlinear Benjamin-Bona-Mahony equation},
  journal      = {Commun. Nonlinear Sci. Numer. Simul.},
  volume       = {127},
  pages        = {107572},
  year         = {2023},
  url          = {https://doi.org/10.1016/j.cnsns.2023.107572},
  doi          = {10.1016/J.CNSNS.2023.107572},
  timestamp    = {Fri, 24 Nov 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cnsns/ShiQ23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/ShiZ23,
  author       = {Dongyang Shi and
                  Houchao Zhang},
  title        = {Unconditional error estimates of linearized BDF2-Galerkin FEMs for
                  nonlinear coupled Schr{\"{o}}dinger-Helmholtz equations},
  journal      = {Numer. Algorithms},
  volume       = {92},
  number       = {3},
  pages        = {1679--1705},
  year         = {2023},
  url          = {https://doi.org/10.1007/s11075-022-01360-5},
  doi          = {10.1007/S11075-022-01360-5},
  timestamp    = {Sat, 25 Feb 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/na/ShiZ23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiW22,
  author       = {Dongyang Shi and
                  Ran Wang},
  title        = {High accuracy analysis of Galerkin finite element method for Klein-Gordon-Zakharov
                  equations},
  journal      = {Appl. Math. Comput.},
  volume       = {415},
  pages        = {126701},
  year         = {2022},
  url          = {https://doi.org/10.1016/j.amc.2021.126701},
  doi          = {10.1016/J.AMC.2021.126701},
  timestamp    = {Wed, 10 Nov 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiW22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/ShiZ22,
  author       = {Dongyang Shi and
                  Houchao Zhang},
  title        = {A linearized conservative nonconforming {FEM} for nonlinear Klein-Gordon-Schr{\"{o}}dinger
                  equations},
  journal      = {Comput. Math. Appl.},
  volume       = {106},
  pages        = {57--73},
  year         = {2022},
  url          = {https://doi.org/10.1016/j.camwa.2021.12.006},
  doi          = {10.1016/J.CAMWA.2021.12.006},
  timestamp    = {Tue, 01 Feb 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/ShiZ22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/ShiZ22a,
  author       = {Dongyang Shi and
                  Houchao Zhang},
  title        = {Unconditional optimal error estimates and superconvergence analysis
                  of energy-preserving {FEM} for general nonlinear Schr{\"{o}}dinger
                  equation with wave operator},
  journal      = {Comput. Math. Appl.},
  volume       = {128},
  pages        = {79--95},
  year         = {2022},
  url          = {https://doi.org/10.1016/j.camwa.2022.10.008},
  doi          = {10.1016/J.CAMWA.2022.10.008},
  timestamp    = {Sun, 15 Jan 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/ShiZ22a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/LiLS21,
  author       = {Zhenzhen Li and
                  Minghao Li and
                  Dongyang Shi},
  title        = {Unconditional convergence and superconvergence analysis for the transient
                  Stokes equations with damping},
  journal      = {Appl. Math. Comput.},
  volume       = {389},
  pages        = {125572},
  year         = {2021},
  url          = {https://doi.org/10.1016/j.amc.2020.125572},
  doi          = {10.1016/J.AMC.2020.125572},
  timestamp    = {Fri, 02 Oct 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/amc/LiLS21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/WuS21,
  author       = {Yanmi Wu and
                  Dongyang Shi},
  title        = {Quasi-uniform and unconditional superconvergence analysis of Ciarlet-Raviart
                  scheme for the fourth order singularly perturbed Bi-wave problem modeling
                  d-wave superconductors},
  journal      = {Appl. Math. Comput.},
  volume       = {397},
  pages        = {125924},
  year         = {2021},
  url          = {https://doi.org/10.1016/j.amc.2020.125924},
  doi          = {10.1016/J.AMC.2020.125924},
  timestamp    = {Wed, 17 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/WuS21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/ShiJ21,
  author       = {Dongyang Shi and
                  Xu Jia},
  title        = {Nonconforming Quasi-Wilson finite element approximation for the nonlinear
                  Rosenau equation},
  journal      = {Appl. Math. Lett.},
  volume       = {119},
  pages        = {107238},
  year         = {2021},
  url          = {https://doi.org/10.1016/j.aml.2021.107238},
  doi          = {10.1016/J.AML.2021.107238},
  timestamp    = {Wed, 19 May 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/appml/ShiJ21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cam/LiuS21,
  author       = {Qian Liu and
                  Dongyang Shi},
  title        = {Superconvergent analysis of a nonconforming mixed finite element method
                  for time-dependent damped Navier-Stokes equations},
  journal      = {Comput. Appl. Math.},
  volume       = {40},
  number       = {1},
  year         = {2021},
  url          = {https://doi.org/10.1007/s40314-020-01381-7},
  doi          = {10.1007/S40314-020-01381-7},
  timestamp    = {Fri, 21 Jan 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cam/LiuS21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/ShiJ21,
  author       = {Dongyang Shi and
                  Xu Jia},
  title        = {Superconvergence analysis of a mixed finite element approximation
                  for the nonlinear fourth-order Rosenau-RLW equation},
  journal      = {Comput. Math. Appl.},
  volume       = {98},
  pages        = {169--180},
  year         = {2021},
  url          = {https://doi.org/10.1016/j.camwa.2021.07.005},
  doi          = {10.1016/J.CAMWA.2021.07.005},
  timestamp    = {Fri, 27 Aug 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/cma/ShiJ21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/ZhangCSL21,
  author       = {Yongwei Zhang and
                  Liqun Cao and
                  Dongyang Shi and
                  Yanping Lin},
  title        = {Multiscale analysis and algorithm of transient electromagnetic scattering
                  from heterogeneous materials},
  journal      = {J. Comput. Appl. Math.},
  volume       = {391},
  pages        = {113427},
  year         = {2021},
  url          = {https://doi.org/10.1016/j.cam.2021.113427},
  doi          = {10.1016/J.CAM.2021.113427},
  timestamp    = {Tue, 26 Apr 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jcam/ZhangCSL21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mcs/WangS21,
  author       = {Nan Wang and
                  Dongyang Shi},
  title        = {Two efficient spectral methods for the nonlinear fractional wave equation
                  in unbounded domain},
  journal      = {Math. Comput. Simul.},
  volume       = {185},
  pages        = {696--718},
  year         = {2021},
  url          = {https://doi.org/10.1016/j.matcom.2021.01.021},
  doi          = {10.1016/J.MATCOM.2021.01.021},
  timestamp    = {Wed, 24 Mar 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/mcs/WangS21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/ShiL21,
  author       = {Dongyang Shi and
                  Chaoqun Li},
  title        = {Superconvergence analysis of two-grid methods for bacteria equations},
  journal      = {Numer. Algorithms},
  volume       = {86},
  number       = {1},
  pages        = {123--152},
  year         = {2021},
  url          = {https://doi.org/10.1007/s11075-020-00882-0},
  doi          = {10.1007/S11075-020-00882-0},
  timestamp    = {Mon, 01 May 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/na/ShiL21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/ZhangMCS21,
  author       = {Yongwei Zhang and
                  Chupeng Ma and
                  Li{-}Qun Cao and
                  Dongyang Shi},
  title        = {Efficient Multiscale Algorithms for Simulating Nonlocal Optical Response
                  of Metallic Nanostructure Arrays},
  journal      = {{SIAM} J. Sci. Comput.},
  volume       = {43},
  number       = {4},
  pages        = {B907--B936},
  year         = {2021},
  url          = {https://doi.org/10.1137/20M1324120},
  doi          = {10.1137/20M1324120},
  timestamp    = {Tue, 26 Apr 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamsc/ZhangMCS21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiL20,
  author       = {Dongyang Shi and
                  Qian Liu},
  title        = {Superconvergence analysis of a two grid finite element method for
                  Ginzburg-Landau equation},
  journal      = {Appl. Math. Comput.},
  volume       = {365},
  year         = {2020},
  url          = {https://doi.org/10.1016/j.amc.2019.124691},
  doi          = {10.1016/J.AMC.2019.124691},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiL20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiW20,
  author       = {Dongyang Shi and
                  Yanmi Wu},
  title        = {Uniformly superconvergent analysis of an efficient two-grid method
                  for nonlinear Bi-wave singular perturbation problem},
  journal      = {Appl. Math. Comput.},
  volume       = {367},
  year         = {2020},
  url          = {https://doi.org/10.1016/j.amc.2019.124772},
  doi          = {10.1016/J.AMC.2019.124772},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiW20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ZhangSL20,
  author       = {Houchao Zhang and
                  Dongyang Shi and
                  Qingfu Li},
  title        = {Nonconforming finite element method for a generalized nonlinear Schr{\"{o}}dinger
                  equation},
  journal      = {Appl. Math. Comput.},
  volume       = {377},
  pages        = {125141},
  year         = {2020},
  url          = {https://doi.org/10.1016/j.amc.2020.125141},
  doi          = {10.1016/J.AMC.2020.125141},
  timestamp    = {Tue, 07 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/amc/ZhangSL20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/YangS20,
  author       = {Huaijun Yang and
                  Dongyang Shi},
  title        = {Superconvergence analysis of the lowest order rectangular Raviart-Thomas
                  element for semilinear parabolic equation},
  journal      = {Appl. Math. Lett.},
  volume       = {105},
  pages        = {106280},
  year         = {2020},
  url          = {https://doi.org/10.1016/j.aml.2020.106280},
  doi          = {10.1016/J.AML.2020.106280},
  timestamp    = {Thu, 16 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/appml/YangS20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/ShiL20,
  author       = {Dongyang Shi and
                  Qian Liu},
  title        = {Superconvergent analysis of a nonconforming mixed finite element method
                  for non-stationary conduction-convection problem},
  journal      = {Comput. Math. Appl.},
  volume       = {79},
  number       = {2},
  pages        = {230--243},
  year         = {2020},
  url          = {https://doi.org/10.1016/j.camwa.2019.06.020},
  doi          = {10.1016/J.CAMWA.2019.06.020},
  timestamp    = {Mon, 17 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/ShiL20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/LiSW20,
  author       = {Meng Li and
                  Dongyang Shi and
                  Junjun Wang},
  title        = {Unconditional superconvergence analysis of a linearized Crank-Nicolson
                  Galerkin {FEM} for generalized Ginzburg-Landau equation},
  journal      = {Comput. Math. Appl.},
  volume       = {79},
  number       = {8},
  pages        = {2411--2425},
  year         = {2020},
  url          = {https://doi.org/10.1016/j.camwa.2019.11.008},
  doi          = {10.1016/J.CAMWA.2019.11.008},
  timestamp    = {Wed, 20 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/cma/LiSW20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/WeiS20,
  author       = {Yifan Wei and
                  Dongyang Shi},
  title        = {Superconvergence analysis of a two-grid method for nonlinear hyperbolic
                  equations},
  journal      = {Comput. Math. Appl.},
  volume       = {79},
  number       = {10},
  pages        = {2846--2855},
  year         = {2020},
  url          = {https://doi.org/10.1016/j.camwa.2019.12.019},
  doi          = {10.1016/J.CAMWA.2019.12.019},
  timestamp    = {Tue, 12 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/cma/WeiS20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/LiuS20,
  author       = {Qian Liu and
                  Dongyang Shi},
  title        = {Superconvergence analysis of a two-grid method for an energy-stable
                  Ciarlet-Raviart type scheme of Cahn-Hilliard equation},
  journal      = {Numer. Algorithms},
  volume       = {85},
  number       = {2},
  pages        = {607--622},
  year         = {2020},
  url          = {https://doi.org/10.1007/s11075-019-00829-0},
  doi          = {10.1007/S11075-019-00829-0},
  timestamp    = {Mon, 14 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/na/LiuS20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2008-02867,
  author       = {Yongwei Zhang and
                  Chupeng Ma and
                  Liqun Cao and
                  Dongyang Shi},
  title        = {Efficient multiscale algorithms for simulating nonlocal optical response
                  of metallic nanostructure arrays},
  journal      = {CoRR},
  volume       = {abs/2008.02867},
  year         = {2020},
  url          = {https://arxiv.org/abs/2008.02867},
  eprinttype    = {arXiv},
  eprint       = {2008.02867},
  timestamp    = {Tue, 26 Apr 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2008-02867.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/ShiY19,
  author       = {Dongyang Shi and
                  Huaijun Yang},
  title        = {Unconditionally optimal error estimates of a new mixed {FEM} for nonlinear
                  Schr{\"{o}}dinger equations},
  journal      = {Adv. Comput. Math.},
  volume       = {45},
  number       = {5},
  pages        = {3173--3194},
  year         = {2019},
  url          = {https://doi.org/10.1007/s10444-019-09732-7},
  doi          = {10.1007/S10444-019-09732-7},
  timestamp    = {Wed, 15 Jan 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/adcm/ShiY19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiY19,
  author       = {Dongyang Shi and
                  Huaijun Yang},
  title        = {Superconvergence analysis of nonconforming {FEM} for nonlinear time-dependent
                  thermistor problem},
  journal      = {Appl. Math. Comput.},
  volume       = {347},
  pages        = {210--224},
  year         = {2019},
  url          = {https://doi.org/10.1016/j.amc.2018.10.018},
  doi          = {10.1016/J.AMC.2018.10.018},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiY19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/XuS19,
  author       = {Chao Xu and
                  Dongyang Shi},
  title        = {Superconvergence analysis of low order nonconforming finite element
                  methods for variational inequality problem with displacement obstacle},
  journal      = {Appl. Math. Comput.},
  volume       = {348},
  pages        = {1--11},
  year         = {2019},
  url          = {https://doi.org/10.1016/j.amc.2018.08.015},
  doi          = {10.1016/J.AMC.2018.08.015},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/XuS19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiLL19,
  author       = {Dongyang Shi and
                  Minghao Li and
                  Zhenzhen Li},
  title        = {A nonconforming finite element method for the stationary Smagorinsky
                  model},
  journal      = {Appl. Math. Comput.},
  volume       = {353},
  pages        = {308--319},
  year         = {2019},
  url          = {https://doi.org/10.1016/j.amc.2019.02.012},
  doi          = {10.1016/J.AMC.2019.02.012},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiLL19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/ShiW19,
  author       = {Dongyang Shi and
                  Yanmi Wu},
  title        = {Uniform superconvergent analysis of a new mixed finite element method
                  for nonlinear Bi-wave singular perturbation problem},
  journal      = {Appl. Math. Lett.},
  volume       = {93},
  pages        = {131--138},
  year         = {2019},
  url          = {https://doi.org/10.1016/j.aml.2019.01.039},
  doi          = {10.1016/J.AML.2019.01.039},
  timestamp    = {Fri, 10 May 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/appml/ShiW19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/ShiL19a,
  author       = {Dongyang Shi and
                  Qian Liu},
  title        = {An efficient nonconforming finite element two-grid method for Allen-Cahn
                  equation},
  journal      = {Appl. Math. Lett.},
  volume       = {98},
  pages        = {374--380},
  year         = {2019},
  url          = {https://doi.org/10.1016/j.aml.2019.06.037},
  doi          = {10.1016/J.AML.2019.06.037},
  timestamp    = {Thu, 05 Sep 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/appml/ShiL19a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/GuanS19,
  author       = {Hongbo Guan and
                  Dongyang Shi},
  title        = {An efficient {NFEM} for optimal control problems governed by a bilinear
                  state equation},
  journal      = {Comput. Math. Appl.},
  volume       = {77},
  number       = {7},
  pages        = {1821--1827},
  year         = {2019},
  url          = {https://doi.org/10.1016/j.camwa.2018.11.017},
  doi          = {10.1016/J.CAMWA.2018.11.017},
  timestamp    = {Mon, 17 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/GuanS19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcm/ShiY19,
  author       = {Dongyang Shi and
                  Huaijun Yang},
  title        = {Superconvergence analysis of a new linearized {MFEM} for nonlinear
                  Schr{\"{o}}dinger equation},
  journal      = {Int. J. Comput. Math.},
  volume       = {96},
  number       = {7},
  pages        = {1514--1531},
  year         = {2019},
  url          = {https://doi.org/10.1080/00207160.2018.1527909},
  doi          = {10.1080/00207160.2018.1527909},
  timestamp    = {Tue, 15 Feb 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/ijcm/ShiY19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiY18a,
  author       = {Dongyang Shi and
                  Huaijun Yang},
  title        = {Superconvergence analysis of finite element method for time-fractional
                  Thermistor problem},
  journal      = {Appl. Math. Comput.},
  volume       = {323},
  pages        = {31--42},
  year         = {2018},
  url          = {https://doi.org/10.1016/j.amc.2017.11.027},
  doi          = {10.1016/J.AMC.2017.11.027},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiY18a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/ShiMY18,
  author       = {Dongyang Shi and
                  Pengcong Mu and
                  Huaijun Yang},
  title        = {Superconvergence analysis of a two-grid method for semilinear parabolic
                  equations},
  journal      = {Appl. Math. Lett.},
  volume       = {84},
  pages        = {34--41},
  year         = {2018},
  url          = {https://doi.org/10.1016/j.aml.2018.04.012},
  doi          = {10.1016/J.AML.2018.04.012},
  timestamp    = {Wed, 20 Jun 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/appml/ShiMY18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/ShiY18,
  author       = {Dongyang Shi and
                  Huaijun Yang},
  title        = {A new approach of superconvergence analysis for two-dimensional time
                  fractional diffusion equation},
  journal      = {Comput. Math. Appl.},
  volume       = {75},
  number       = {8},
  pages        = {3012--3023},
  year         = {2018},
  url          = {https://doi.org/10.1016/j.camwa.2018.01.029},
  doi          = {10.1016/J.CAMWA.2018.01.029},
  timestamp    = {Mon, 17 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/ShiY18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiW17,
  author       = {Dongyang Shi and
                  Junjun Wang},
  title        = {Unconditional superconvergence analysis of conforming finite element
                  for nonlinear parabolic equation},
  journal      = {Appl. Math. Comput.},
  volume       = {294},
  pages        = {216--226},
  year         = {2017},
  url          = {https://doi.org/10.1016/j.amc.2016.08.024},
  doi          = {10.1016/J.AMC.2016.08.024},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiW17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiW17a,
  author       = {Dongyang Shi and
                  Junjun Wang},
  title        = {Unconditional superconvergence analysis for nonlinear hyperbolic equation
                  with nonconforming finite element},
  journal      = {Appl. Math. Comput.},
  volume       = {305},
  pages        = {1--16},
  year         = {2017},
  url          = {https://doi.org/10.1016/j.amc.2017.01.050},
  doi          = {10.1016/J.AMC.2017.01.050},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiW17a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiY17,
  author       = {Dongyang Shi and
                  Huaijun Yang},
  title        = {Unconditional optimal error estimates of a two-grid method for semilinear
                  parabolic equation},
  journal      = {Appl. Math. Comput.},
  volume       = {310},
  pages        = {40--47},
  year         = {2017},
  url          = {https://doi.org/10.1016/j.amc.2017.04.010},
  doi          = {10.1016/J.AMC.2017.04.010},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiY17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/PeiS17,
  author       = {Lifang Pei and
                  Dongyang Shi},
  title        = {A new error analysis of Bergan's energy-orthogonal element for a plate
                  contact problem},
  journal      = {Appl. Math. Lett.},
  volume       = {69},
  pages        = {67--74},
  year         = {2017},
  url          = {https://doi.org/10.1016/j.aml.2017.01.018},
  doi          = {10.1016/J.AML.2017.01.018},
  timestamp    = {Fri, 26 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/appml/PeiS17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/ShiW17,
  author       = {Dongyang Shi and
                  Junjun Wang},
  title        = {Unconditional superconvergence analysis of a linearized Galerkin {FEM}
                  for nonlinear hyperbolic equations},
  journal      = {Comput. Math. Appl.},
  volume       = {74},
  number       = {4},
  pages        = {634--651},
  year         = {2017},
  url          = {https://doi.org/10.1016/j.camwa.2017.05.007},
  doi          = {10.1016/J.CAMWA.2017.05.007},
  timestamp    = {Mon, 17 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/ShiW17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ShiWY17,
  author       = {Dongyang Shi and
                  Junjun Wang and
                  Fengna Yan},
  title        = {Unconditional Superconvergence Analysis for Nonlinear Parabolic Equation
                  with EQ\({}_{\mbox{1}}\)\({}^{\mbox{rot}}\) Nonconforming Finite Element},
  journal      = {J. Sci. Comput.},
  volume       = {70},
  number       = {1},
  pages        = {85--111},
  year         = {2017},
  url          = {https://doi.org/10.1007/s10915-016-0243-4},
  doi          = {10.1007/S10915-016-0243-4},
  timestamp    = {Thu, 18 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jscic/ShiWY17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ShiW17,
  author       = {Dongyang Shi and
                  Junjun Wang},
  title        = {Unconditional Superconvergence Analysis of a Crank-Nicolson Galerkin
                  {FEM} for Nonlinear Schr{\"{o}}dinger Equation},
  journal      = {J. Sci. Comput.},
  volume       = {72},
  number       = {3},
  pages        = {1093--1118},
  year         = {2017},
  url          = {https://doi.org/10.1007/s10915-017-0390-2},
  doi          = {10.1007/S10915-017-0390-2},
  timestamp    = {Tue, 22 Aug 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jscic/ShiW17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiWL16,
  author       = {Dongyang Shi and
                  Lele Wang and
                  Xin Liao},
  title        = {A new nonconforming mixed finite element scheme for second order eigenvalue
                  problem},
  journal      = {Appl. Math. Comput.},
  volume       = {273},
  pages        = {842--855},
  year         = {2016},
  url          = {https://doi.org/10.1016/j.amc.2015.10.064},
  doi          = {10.1016/J.AMC.2015.10.064},
  timestamp    = {Mon, 26 Oct 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiWL16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiYW16,
  author       = {Dongyang Shi and
                  Fengna Yan and
                  Junjun Wang},
  title        = {Unconditional superconvergence analysis of a new mixed finite element
                  method for nonlinear Sobolev equation},
  journal      = {Appl. Math. Comput.},
  volume       = {274},
  pages        = {182--194},
  year         = {2016},
  url          = {https://doi.org/10.1016/j.amc.2015.09.004},
  doi          = {10.1016/J.AMC.2015.09.004},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiYW16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiLW16a,
  author       = {Dongyang Shi and
                  Xin Liao and
                  Lele Wang},
  title        = {Superconvergence analysis of conforming finite element method for
                  nonlinear Schr{\"{o}}dinger equation},
  journal      = {Appl. Math. Comput.},
  volume       = {289},
  pages        = {298--310},
  year         = {2016},
  url          = {https://doi.org/10.1016/j.amc.2016.05.020},
  doi          = {10.1016/J.AMC.2016.05.020},
  timestamp    = {Mon, 26 Oct 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiLW16a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/GuanSG16,
  author       = {Hongbo Guan and
                  Dongyang Shi and
                  Xiaofei Guan},
  title        = {High accuracy analysis of nonconforming {MFEM} for constrained optimal
                  control problems governed by Stokes equations},
  journal      = {Appl. Math. Lett.},
  volume       = {53},
  pages        = {17--24},
  year         = {2016},
  url          = {https://doi.org/10.1016/j.aml.2015.09.016},
  doi          = {10.1016/J.AML.2015.09.016},
  timestamp    = {Fri, 26 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/appml/GuanSG16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/ShiY16,
  author       = {Dongyang Shi and
                  Huaijun Yang},
  title        = {A new approach of superconvergence analysis for nonlinear {BBM} equation
                  on anisotropic meshes},
  journal      = {Appl. Math. Lett.},
  volume       = {58},
  pages        = {74--80},
  year         = {2016},
  url          = {https://doi.org/10.1016/j.aml.2016.02.007},
  doi          = {10.1016/J.AML.2016.02.007},
  timestamp    = {Fri, 26 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/appml/ShiY16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/ZhaoZSLT16,
  author       = {Yanmin Zhao and
                  Yadong Zhang and
                  Dongyang Shi and
                  Fawang Liu and
                  Ian W. Turner},
  title        = {Superconvergence analysis of nonconforming finite element method for
                  two-dimensional time fractional diffusion equations},
  journal      = {Appl. Math. Lett.},
  volume       = {59},
  pages        = {38--47},
  year         = {2016},
  url          = {https://doi.org/10.1016/j.aml.2016.03.005},
  doi          = {10.1016/J.AML.2016.03.005},
  timestamp    = {Tue, 10 May 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/appml/ZhaoZSLT16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/ShiW16,
  author       = {Dongyang Shi and
                  Junjun Wang},
  title        = {Superconvergence analysis of an H\({}^{\mbox{1}}\)-Galerkin mixed
                  finite element method for Sobolev equations},
  journal      = {Comput. Math. Appl.},
  volume       = {72},
  number       = {6},
  pages        = {1590--1602},
  year         = {2016},
  url          = {https://doi.org/10.1016/j.camwa.2016.07.023},
  doi          = {10.1016/J.CAMWA.2016.07.023},
  timestamp    = {Thu, 11 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/ShiW16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/GuanS15,
  author       = {Hongbo Guan and
                  Dongyang Shi},
  title        = {A stable nonconforming mixed finite element scheme for elliptic optimal
                  control problems},
  journal      = {Comput. Math. Appl.},
  volume       = {70},
  number       = {3},
  pages        = {236--243},
  year         = {2015},
  url          = {https://doi.org/10.1016/j.camwa.2015.04.005},
  doi          = {10.1016/J.CAMWA.2015.04.005},
  timestamp    = {Thu, 11 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/GuanS15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/ShiWL15,
  author       = {Dongyang Shi and
                  Lele Wang and
                  Xin Liao},
  title        = {Nonconforming finite element analysis for Poisson eigenvalue problem},
  journal      = {Comput. Math. Appl.},
  volume       = {70},
  number       = {5},
  pages        = {835--845},
  year         = {2015},
  url          = {https://doi.org/10.1016/j.camwa.2015.05.029},
  doi          = {10.1016/J.CAMWA.2015.05.029},
  timestamp    = {Thu, 11 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/ShiWL15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/LiSD15,
  author       = {Minghao Li and
                  Dongyang Shi and
                  Ying Dai},
  title        = {The Brezzi-Pitk{\"{a}}ranta stabilization scheme for the elasticity
                  problem},
  journal      = {J. Comput. Appl. Math.},
  volume       = {286},
  pages        = {7--16},
  year         = {2015},
  url          = {https://doi.org/10.1016/j.cam.2015.02.024},
  doi          = {10.1016/J.CAM.2015.02.024},
  timestamp    = {Tue, 16 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jcam/LiSD15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ShiLX15,
  author       = {Dongyang Shi and
                  Minghao Li and
                  Chao Xu},
  title        = {A New Stabilization Method for the Elasticity Problem},
  journal      = {J. Sci. Comput.},
  volume       = {65},
  number       = {3},
  pages        = {1025--1038},
  year         = {2015},
  url          = {https://doi.org/10.1007/s10915-015-9996-4},
  doi          = {10.1007/S10915-015-9996-4},
  timestamp    = {Thu, 18 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jscic/ShiLX15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mcs/ShiTG15,
  author       = {Dongyang Shi and
                  Qili Tang and
                  Wei Gong},
  title        = {A low order characteristic-nonconforming finite element method for
                  nonlinear Sobolev equation with convection-dominated term},
  journal      = {Math. Comput. Simul.},
  volume       = {114},
  pages        = {25--36},
  year         = {2015},
  url          = {https://doi.org/10.1016/j.matcom.2014.03.008},
  doi          = {10.1016/J.MATCOM.2014.03.008},
  timestamp    = {Mon, 31 Jul 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/mcs/ShiTG15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiZW14,
  author       = {Dongyang Shi and
                  Yanmin Zhao and
                  Fenling Wang},
  title        = {Quasi-Wilson nonconforming element approximation for nonlinear dual
                  phase lagging heat conduction equations},
  journal      = {Appl. Math. Comput.},
  volume       = {243},
  pages        = {454--464},
  year         = {2014},
  url          = {https://doi.org/10.1016/j.amc.2014.05.083},
  doi          = {10.1016/J.AMC.2014.05.083},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiZW14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/GuanS14,
  author       = {Hongbo Guan and
                  Dongyang Shi},
  title        = {A high accuracy {NFEM} for constrained optimal control problems governed
                  by elliptic equations},
  journal      = {Appl. Math. Comput.},
  volume       = {245},
  pages        = {382--390},
  year         = {2014},
  url          = {https://doi.org/10.1016/j.amc.2014.07.077},
  doi          = {10.1016/J.AMC.2014.07.077},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/GuanS14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/ShiWZ14,
  author       = {Dongyang Shi and
                  Pingli Wang and
                  Yanmin Zhao},
  title        = {Superconvergence analysis of anisotropic linear triangular finite
                  element for nonlinear Schr{\"{o}}dinger equation},
  journal      = {Appl. Math. Lett.},
  volume       = {38},
  pages        = {129--134},
  year         = {2014},
  url          = {https://doi.org/10.1016/j.aml.2014.07.019},
  doi          = {10.1016/J.AML.2014.07.019},
  timestamp    = {Fri, 26 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/appml/ShiWZ14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/ShiLW14,
  author       = {Dongyang Shi and
                  Xin Liao and
                  Lele Wang},
  title        = {The lowest order characteristic mixed finite element scheme for convection-dominated
                  diffusion problem},
  journal      = {Comput. Math. Appl.},
  volume       = {68},
  number       = {7},
  pages        = {759--769},
  year         = {2014},
  url          = {https://doi.org/10.1016/j.camwa.2014.07.027},
  doi          = {10.1016/J.CAMWA.2014.07.027},
  timestamp    = {Thu, 11 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/ShiLW14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/WangSK14,
  author       = {Xiuhua Wang and
                  Dongyang Shi and
                  Jisheng Kou},
  title        = {Convergence analysis for a family of improved super-Halley methods
                  under general convergence condition},
  journal      = {Numer. Algorithms},
  volume       = {65},
  number       = {2},
  pages        = {339--354},
  year         = {2014},
  url          = {https://doi.org/10.1007/s11075-013-9708-9},
  doi          = {10.1007/S11075-013-9708-9},
  timestamp    = {Sat, 25 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/na/WangSK14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiY13,
  author       = {Dongyang Shi and
                  Zhiyun Yu},
  title        = {Superclose and superconvergence of finite element discretizations
                  for the Stokes equations with damping},
  journal      = {Appl. Math. Comput.},
  volume       = {219},
  number       = {14},
  pages        = {7693--7698},
  year         = {2013},
  url          = {https://doi.org/10.1016/j.amc.2013.01.057},
  doi          = {10.1016/J.AMC.2013.01.057},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiY13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiP13,
  author       = {Dongyang Shi and
                  Lifang Pei},
  title        = {Nonconforming quadrilateral finite element method for a class of nonlinear
                  sine-Gordon equations},
  journal      = {Appl. Math. Comput.},
  volume       = {219},
  number       = {17},
  pages        = {9447--9460},
  year         = {2013},
  url          = {https://doi.org/10.1016/j.amc.2013.03.008},
  doi          = {10.1016/J.AMC.2013.03.008},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiP13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiZS13,
  author       = {Dongyang Shi and
                  Jiaquan Zhou and
                  Dongwei Shi},
  title        = {A new low order least squares nonconforming characteristics mixed
                  finite element method For Burgers' equation},
  journal      = {Appl. Math. Comput.},
  volume       = {219},
  number       = {24},
  pages        = {11302--11310},
  year         = {2013},
  url          = {https://doi.org/10.1016/j.amc.2013.05.037},
  doi          = {10.1016/J.AMC.2013.05.037},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiZS13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/WangKS13,
  author       = {Xiuhua Wang and
                  Jisheng Kou and
                  Dongyang Shi},
  title        = {Convergence of an iterative method for solving a class of nonlinear
                  equations},
  journal      = {Comput. Math. Appl.},
  volume       = {66},
  number       = {7},
  pages        = {1322--1328},
  year         = {2013},
  url          = {https://doi.org/10.1016/j.camwa.2013.08.001},
  doi          = {10.1016/J.CAMWA.2013.08.001},
  timestamp    = {Thu, 11 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/WangKS13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/ZhangS13,
  author       = {Yadong Zhang and
                  Dongyang Shi},
  title        = {Superconvergence of an H\({}^{\mbox{1}}\)-Galerkin nonconforming mixed
                  finite element method for a parabolic equation},
  journal      = {Comput. Math. Appl.},
  volume       = {66},
  number       = {11},
  pages        = {2362--2375},
  year         = {2013},
  url          = {https://doi.org/10.1016/j.camwa.2013.09.013},
  doi          = {10.1016/J.CAMWA.2013.09.013},
  timestamp    = {Thu, 11 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/ZhangS13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jam/ShiTZ13,
  author       = {Dongyang Shi and
                  Qili Tang and
                  Yadong Zhang},
  title        = {A New Characteristic Nonconforming Mixed Finite Element Scheme for
                  Convection-Dominated Diffusion Problem},
  journal      = {J. Appl. Math.},
  volume       = {2013},
  pages        = {951692:1--951692:10},
  year         = {2013},
  url          = {https://doi.org/10.1155/2013/951692},
  doi          = {10.1155/2013/951692},
  timestamp    = {Thu, 16 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jam/ShiTZ13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ShiXC13,
  author       = {Dongyang Shi and
                  Chao Xu and
                  Jin{-}huan Chen},
  title        = {Anisotropic Nonconforming {\textdollar}{\textdollar}\{ EQ\}{\_}1{\^{}}\{rot\}{\textdollar}{\textdollar}
                  Quadrilateral Finite Element Approximation to Second Order Elliptic
                  Problems},
  journal      = {J. Sci. Comput.},
  volume       = {56},
  number       = {3},
  pages        = {637--653},
  year         = {2013},
  url          = {https://doi.org/10.1007/s10915-013-9690-3},
  doi          = {10.1007/S10915-013-9690-3},
  timestamp    = {Thu, 18 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jscic/ShiXC13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jam/ShiGG12,
  author       = {Dongyang Shi and
                  Hongbo Guan and
                  Xiaofei Guan},
  title        = {Superconvergence Analysis of Finite Element Method for a Second-Type
                  Variational Inequality},
  journal      = {J. Appl. Math.},
  volume       = {2012},
  pages        = {156095:1--156095:12},
  year         = {2012},
  url          = {https://doi.org/10.1155/2012/156095},
  doi          = {10.1155/2012/156095},
  timestamp    = {Thu, 16 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jam/ShiGG12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jam/ShiY12,
  author       = {Dongyang Shi and
                  Zhiyun Yu},
  title        = {Low-Order Nonconforming Mixed Finite Element Methods for Stationary
                  Incompressible Magnetohydrodynamics Equations},
  journal      = {J. Appl. Math.},
  volume       = {2012},
  pages        = {825609:1--825609:21},
  year         = {2012},
  url          = {https://doi.org/10.1155/2012/825609},
  doi          = {10.1155/2012/825609},
  timestamp    = {Thu, 16 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jam/ShiY12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiZ11,
  author       = {Dongyang Shi and
                  Yadong Zhang},
  title        = {High accuracy analysis of a new nonconforming mixed finite element
                  scheme for Sobolev equations},
  journal      = {Appl. Math. Comput.},
  volume       = {218},
  number       = {7},
  pages        = {3176--3186},
  year         = {2011},
  url          = {https://doi.org/10.1016/j.amc.2011.08.054},
  doi          = {10.1016/J.AMC.2011.08.054},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiZ11.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijcm/ShiW11,
  author       = {Dongyang Shi and
                  Caixia Wang},
  title        = {A new low-order non-conforming mixed finite-element scheme for second-order
                  elliptic problems},
  journal      = {Int. J. Comput. Math.},
  volume       = {88},
  number       = {10},
  pages        = {2167--2177},
  year         = {2011},
  url          = {https://doi.org/10.1080/00207160.2010.534138},
  doi          = {10.1080/00207160.2010.534138},
  timestamp    = {Sun, 28 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/ijcm/ShiW11.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jossac/ShiZ11,
  author       = {Dongyang Shi and
                  Buying Zhang},
  title        = {High accuracy analysis of the finite element method for nonlinear
                  viscoelastic wave equations with nonlinear boundary conditions},
  journal      = {J. Syst. Sci. Complex.},
  volume       = {24},
  number       = {4},
  pages        = {795--802},
  year         = {2011},
  url          = {https://doi.org/10.1007/s11424-011-8315-x},
  doi          = {10.1007/S11424-011-8315-X},
  timestamp    = {Mon, 08 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jossac/ShiZ11.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mcm/ShiGR11,
  author       = {Dongyang Shi and
                  Wei Gong and
                  Jincheng Ren},
  title        = {A new stable second order nonconforming mixed finite element scheme
                  for the stationary Stokes and Navier-Stokes equations},
  journal      = {Math. Comput. Model.},
  volume       = {53},
  number       = {9-10},
  pages        = {1956--1969},
  year         = {2011},
  url          = {https://doi.org/10.1016/j.mcm.2011.01.026},
  doi          = {10.1016/J.MCM.2011.01.026},
  timestamp    = {Mon, 31 Jul 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/mcm/ShiGR11.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/LiangSL10,
  author       = {Hui Liang and
                  Dongyang Shi and
                  Wanjin Lv},
  title        = {Convergence and asymptotic stability of Galerkin methods for a partial
                  differential equation with piecewise constant argument},
  journal      = {Appl. Math. Comput.},
  volume       = {217},
  number       = {2},
  pages        = {854--860},
  year         = {2010},
  url          = {https://doi.org/10.1016/j.amc.2010.06.028},
  doi          = {10.1016/J.AMC.2010.06.028},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/amc/LiangSL10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/XieSL10,
  author       = {Pingli Xie and
                  Dongyang Shi and
                  Hua Li},
  title        = {A new robust C\({}^{\mbox{0}}\)-type nonconforming triangular element
                  for singular perturbation problems},
  journal      = {Appl. Math. Comput.},
  volume       = {217},
  number       = {8},
  pages        = {3832--3843},
  year         = {2010},
  url          = {https://doi.org/10.1016/j.amc.2010.09.042},
  doi          = {10.1016/J.AMC.2010.09.042},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/XieSL10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jossac/ShiZ10,
  author       = {Dongyang Shi and
                  Buying Zhang},
  title        = {Nonconforming finite element method for nonlinear parabolic equations},
  journal      = {J. Syst. Sci. Complex.},
  volume       = {23},
  number       = {2},
  pages        = {395--402},
  year         = {2010},
  url          = {https://doi.org/10.1007/s11424-010-7120-2},
  doi          = {10.1007/S11424-010-7120-2},
  timestamp    = {Mon, 08 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jossac/ShiZ10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiRH09,
  author       = {Dongyang Shi and
                  Jincheng Ren and
                  Xiaobin Hao},
  title        = {A new second order nonconforming mixed finite element scheme for the
                  stationary Stokes and Navier-Stokes equations},
  journal      = {Appl. Math. Comput.},
  volume       = {207},
  number       = {2},
  pages        = {462--477},
  year         = {2009},
  url          = {https://doi.org/10.1016/j.amc.2008.10.058},
  doi          = {10.1016/J.AMC.2008.10.058},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiRH09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiP09,
  author       = {Dongyang Shi and
                  Lifang Pei},
  title        = {Low order Crouzeix-Raviart type nonconforming finite element methods
                  for the 3D time-dependent Maxwell's equations},
  journal      = {Appl. Math. Comput.},
  volume       = {211},
  number       = {1},
  pages        = {1--9},
  year         = {2009},
  url          = {https://doi.org/10.1016/j.amc.2009.01.027},
  doi          = {10.1016/J.AMC.2009.01.027},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiP09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ShiL09,
  author       = {Dongyang Shi and
                  Hui Liang},
  title        = {Convergence and superconvergence analysis of a new quadratic Hermite-type
                  triangular element on anisotropic meshes},
  journal      = {Appl. Math. Comput.},
  volume       = {212},
  number       = {1},
  pages        = {257--269},
  year         = {2009},
  url          = {https://doi.org/10.1016/j.amc.2009.02.027},
  doi          = {10.1016/J.AMC.2009.02.027},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/amc/ShiL09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/ShiPC09,
  author       = {Dongyang Shi and
                  Yucheng Peng and
                  Shaochun Chen},
  title        = {Error estimates for rotated Q\({}_{\mbox{1}}\)\({}^{\mbox{rot}}\)
                  element approximation of the eigenvalue problem on anisotropic meshes},
  journal      = {Appl. Math. Lett.},
  volume       = {22},
  number       = {6},
  pages        = {952--959},
  year         = {2009},
  url          = {https://doi.org/10.1016/j.aml.2009.02.001},
  doi          = {10.1016/J.AML.2009.02.001},
  timestamp    = {Fri, 26 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/appml/ShiPC09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jossac/ShiG09,
  author       = {Dongyang Shi and
                  Wei Gong},
  title        = {A low order nonconforming anisotropic finite element approximation
                  to parabolic problem},
  journal      = {J. Syst. Sci. Complex.},
  volume       = {22},
  number       = {3},
  pages        = {518--532},
  year         = {2009},
  url          = {https://doi.org/10.1007/s11424-009-9183-5},
  doi          = {10.1007/S11424-009-9183-5},
  timestamp    = {Mon, 31 Jul 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jossac/ShiG09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jossac/ShiH08,
  author       = {Dongyang Shi and
                  Xiaobin Hao},
  title        = {Accuracy Analysis for Quasi-Carey Element},
  journal      = {J. Syst. Sci. Complex.},
  volume       = {21},
  number       = {3},
  pages        = {456--462},
  year         = {2008},
  url          = {https://doi.org/10.1007/s11424-008-9127-5},
  doi          = {10.1007/S11424-008-9127-5},
  timestamp    = {Mon, 08 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jossac/ShiH08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jossac/ShiLW07,
  author       = {Dongyang Shi and
                  Hui Liang and
                  Caixia Wang},
  title        = {Superconvergence Analysis of a Nonconforming Triangular Element on
                  Anisotropic Meshes},
  journal      = {J. Syst. Sci. Complex.},
  volume       = {20},
  number       = {4},
  pages        = {536--544},
  year         = {2007},
  url          = {https://doi.org/10.1007/s11424-007-9051-0},
  doi          = {10.1007/S11424-007-9051-0},
  timestamp    = {Mon, 08 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jossac/ShiLW07.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jossac/ShiML06,
  author       = {Dongyang Shi and
                  Shipeng Mao and
                  Hui Liang},
  title        = {Anisotropic Biquadratic Element with Superclose Result},
  journal      = {J. Syst. Sci. Complex.},
  volume       = {19},
  number       = {4},
  pages        = {566--576},
  year         = {2006},
  url          = {https://doi.org/10.1007/s11424-006-0566-6},
  doi          = {10.1007/S11424-006-0566-6},
  timestamp    = {Mon, 08 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jossac/ShiML06.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
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