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ORCIDDouglas N. Arnold
Person information
- affiliation: University of Minnesota, Department of Mathematics, Minneapolis, USA
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Journal Articles
- 2021
[j21]Douglas N. Arnold
, Kaibo Hu:
Complexes from Complexes. Found. Comput. Math. 21(6): 1739-1774 (2021)- 2020
- [j20]Douglas N. Arnold, Shawn W. Walker:
The Hellan-Herrmann-Johnson Method with Curved Elements. SIAM J. Numer. Anal. 58(5): 2829-2855 (2020) - 2019
- [j19]Douglas N. Arnold, Guy David, Marcel Filoche, David Jerison, Svitlana Mayboroda:
Computing Spectra without Solving Eigenvalue Problems. SIAM J. Sci. Comput. 41(1): B69-B92 (2019) - 2017
- [j18]Douglas N. Arnold, Lizao Li:
Finite element exterior calculus with lower-order terms. Math. Comput. 86(307): 2193-2212 (2017) - 2015
- [j17]Douglas N. Arnold, Gerard Awanou, Weifeng Qiu:
Mixed finite elements for elasticity on quadrilateral meshes. Adv. Comput. Math. 41(3): 553-572 (2015) - [j16]Douglas N. Arnold, Daniele Boffi, Francesca Bonizzoni:
Finite element differential forms on curvilinear cubic meshes and their approximation properties. Numerische Mathematik 129(1): 1-20 (2015) - 2014
- [j15]Douglas N. Arnold, Gerard Awanou:
Finite element differential forms on cubical meshes. Math. Comput. 83(288): 1551-1570 (2014) - [j14]Douglas N. Arnold, Jeonghun J. Lee:
Mixed Methods for Elastodynamics with Weak Symmetry. SIAM J. Numer. Anal. 52(6): 2743-2769 (2014) - 2011
- [j13]Douglas N. Arnold, Gerard Awanou:
The Serendipity Family of Finite Elements. Found. Comput. Math. 11(3): 337-344 (2011) - 2008
- [j12]Douglas N. Arnold, Gerard Awanou, Ragnar Winther:
Finite elements for symmetric tensors in three dimensions. Math. Comput. 77(263): 1229-1251 (2008) - 2007
- [j11]Douglas N. Arnold, Richard S. Falk, Ragnar Winther:
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Math. Comput. 76(260): 1699-1723 (2007) - 2005
- [j10]Douglas N. Arnold, Franco Brezzi, L. Donatella Marini:
A Family of Discontinuous Galerkin Finite Elements for the Reissner-Mindlin Plate. J. Sci. Comput. 22(1): 25-45 (2005) - [j9]Douglas N. Arnold, Daniele Boffi, Richard S. Falk:
Quadrilateral H(div) Finite Elements. SIAM J. Numer. Anal. 42(6): 2429-2451 (2005) - 2002
- [j8]Douglas N. Arnold, Daniele Boffi, Richard S. Falk:
Approximation by quadrilateral finite elements. Math. Comput. 71(239): 909-922 (2002) - [j7]Douglas N. Arnold, Ragnar Winther:
Mixed finite elements for elasticity. Numerische Mathematik 92(3): 401-419 (2002) - [j6]Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn, L. Donatella Marini:
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems. SIAM J. Numer. Anal. 39(5): 1749-1779 (2002) - 2000
- [j5]Douglas N. Arnold, Richard S. Falk, Ragnar Winther:
Multigrid in H (div) and H (curl). Numerische Mathematik 85(2): 197-217 (2000) - [j4]Douglas N. Arnold, Arup Mukherjee, Luc Pouly:
Locally Adapted Tetrahedral Meshes Using Bisection. SIAM J. Sci. Comput. 22(2): 431-448 (2000) - 1997
- [j3]Douglas N. Arnold, Xiaobo Liu:
Interior estimates for a low order finite element method for the Reissner-Mindlin plate model. Adv. Comput. Math. 7(3): 337-360 (1997) - [j2]Douglas N. Arnold, Franco Brezzi:
Locking-free finite element methods for shells. Math. Comput. 66(217): 1-14 (1997) - [j1]Douglas N. Arnold, Richard S. Falk, Ragnar Winther:
Preconditioning in Hdiv and applications. Math. Comput. 66(219): 957-984 (1997)
Informal and Other Publications
- 2021
- [i5]Douglas N. Arnold, Johnny Guzmán:
Local L2-bounded commuting projections in FEEC. CoRR abs/2104.00184 (2021) - 2020
- [i4]Douglas N. Arnold, Kaibo Hu:
Complexes from complexes. CoRR abs/2005.12437 (2020) - 2019
- [i3]Douglas N. Arnold, Shawn W. Walker:
The Hellan-Herrmann-Johnson method with curved elements. CoRR abs/1909.09687 (2019) - 2012
- [i2]Douglas N. Arnold, Henry Cohn:
Mathematicians take a stand. CoRR abs/1204.1351 (2012) - 2010
- [i1]Douglas N. Arnold, Kristine K. Fowler:
Nefarious Numbers. CoRR abs/1010.0278 (2010)
Coauthor Index
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