Interior estimates for a low order finite element method for the Reissner-Mindlin plate model. - Douglas N. Arnold; Xiaobo Liu (Adv. Comput. Math., 1997)

Locking-free finite element methods for shells. - Douglas N. Arnold; Franco Brezzi (Math. Comput., 1997)

Preconditioning in Hdiv and applications. - Douglas N. Arnold; Richard S. Falk; Ragnar Winther (Math. Comput., 1997)

Multigrid in H (div) and H (curl). - Douglas N. Arnold; Richard S. Falk; Ragnar Winther (Numerische Mathematik, 2000)

Locally Adapted Tetrahedral Meshes Using Bisection. - Douglas N. Arnold; Arup Mukherjee; Luc Pouly (SIAM J. Sci. Comput., 2000)

Approximation by quadrilateral finite elements. - Douglas N. Arnold; Daniele Boffi; Richard S. Falk (Math. Comput., 2002)

Mixed finite elements for elasticity. - Douglas N. Arnold; Ragnar Winther (Numerische Mathematik, 2002)

Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems. - Douglas N. Arnold; Franco Brezzi; Bernardo Cockburn; L. Donatella Marini (SIAM J. Numer. Anal., 2002)

A Family of Discontinuous Galerkin Finite Elements for the Reissner-Mindlin Plate. - Douglas N. Arnold; Franco Brezzi; L. Donatella Marini (J. Sci. Comput., 2005)

Quadrilateral H(div) Finite Elements. - Douglas N. Arnold; Daniele Boffi; Richard S. Falk (SIAM J. Numer. Anal., 2005)

Mixed finite element methods for linear elasticity with weakly imposed symmetry. - Douglas N. Arnold; Richard S. Falk; Ragnar Winther (Math. Comput., 2007)

Finite elements for symmetric tensors in three dimensions. - Douglas N. Arnold; Gerard Awanou; Ragnar Winther (Math. Comput., 2008)

Nefarious Numbers - Douglas N. Arnold; Kristine K. Fowler (CoRR, 2010)

The Serendipity Family of Finite Elements. - Douglas N. Arnold; Gerard Awanou (Found. Comput. Math., 2011)

Mathematicians take a stand - Douglas N. Arnold; Henry Cohn (CoRR, 2012)

Finite element differential forms on cubical meshes. - Douglas N. Arnold; Gerard Awanou (Math. Comput., 2014)

Mixed Methods for Elastodynamics with Weak Symmetry. - Douglas N. Arnold; Jeonghun J. Lee (SIAM J. Numer. Anal., 2014)

Mixed finite elements for elasticity on quadrilateral meshes. - Douglas N. Arnold; Gerard Awanou; Weifeng Qiu (Adv. Comput. Math., 2015)

Finite element differential forms on curvilinear cubic meshes and their approximation properties. - Douglas N. Arnold; Daniele Boffi; Francesca Bonizzoni (Numerische Mathematik, 2015)

Finite element exterior calculus with lower-order terms. - Douglas N. Arnold; Lizao Li (Math. Comput., 2017)

Computing Spectra without Solving Eigenvalue Problems. - Douglas N. Arnold; Guy David; Marcel Filoche; David Jerison; Svitlana Mayboroda (SIAM J. Sci. Comput., 2019)

The Hellan-Herrmann-Johnson Method with Curved Elements. - Douglas N. Arnold; Shawn W. Walker (SIAM J. Numer. Anal., 2020)

Local L2-bounded commuting projections in FEEC. - Douglas N. Arnold; Johnny Guzmán (CoRR, 2021)

Complexes from Complexes. - Douglas N. Arnold; Kaibo Hu (Found. Comput. Math., 2021)