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BibTeX records: Dongyang Shi
@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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