2019 - Fellow of the American Mathematical Society For contributions to numerical analysis and for service to the mathematical community.
2012 - SIAM Fellow For contributions to the understanding of the stability and convergence properties of the finite element method, and for service to the numerical analysis community.
Finite element exterior calculus, homological techniques, and applications
Douglas N. Arnold;Richard S. Falk;Ragnar Winther.
Acta Numerica (2006)
Finite element exterior calculus: From hodge theory to numerical stability
Douglas N. Arnold;Richard S. Falk;Ragnar Winther.
Bulletin of the American Mathematical Society (2010)
Multigrid in H(div) and H(curl)
Douglas N. Arnold;Richard S. Falk;Ragnar Winther.
Numerische Mathematik (2000)
Error estimates for the approximation of a class of variational inequalities
Richard S. Falk.
Mathematics of Computation (1974)
A uniformly accurate finite element method for the Reissner-Mindlin plate
D. N. Arnold;R. S. Falk.
SIAM Journal on Numerical Analysis (1989)
Approximation of a class of optimal control problems with order of convergence estimates
Richard S. Falk.
Journal of Mathematical Analysis and Applications (1973)
Error estimates for mixed methods
R. S. Falk;J. E. Osborn.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1980)
Approximation by quadrilateral finite elements
Douglas N. Arnold;Daniele Boffi;Richard S. Falk.
Mathematics of Computation (2002)
Mixed finite element methods for linear elasticity with weakly imposed symmetry
Douglas N. Arnold;Richard S. Falk;Ragnar Winther.
Mathematics of Computation (2007)
Quadrilateral H (div) Finite Elements
Douglas N. Arnold;Daniele Boffi;Richard S. Falk.
SIAM Journal on Numerical Analysis (2004)
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