D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 37 Citations 8,088 82 World Ranking 1648 National Ranking 722

Research.com Recognitions

Awards & Achievements

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.

Best Publications

Finite element exterior calculus, homological techniques, and applications

Douglas N. Arnold;Richard S. Falk;Ragnar Winther.
Acta Numerica (2006)

1013 Citations

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)

625 Citations

Multigrid in H(div) and H(curl)

Douglas N. Arnold;Richard S. Falk;Ragnar Winther.
Numerische Mathematik (2000)

489 Citations

Error estimates for the approximation of a class of variational inequalities

Richard S. Falk.
Mathematics of Computation (1974)

426 Citations

A uniformly accurate finite element method for the Reissner-Mindlin plate

D. N. Arnold;R. S. Falk.
SIAM Journal on Numerical Analysis (1989)

369 Citations

Approximation of a class of optimal control problems with order of convergence estimates

Richard S. Falk.
Journal of Mathematical Analysis and Applications (1973)

345 Citations

Error estimates for mixed methods

R. S. Falk;J. E. Osborn.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1980)

345 Citations

Approximation by quadrilateral finite elements

Douglas N. Arnold;Daniele Boffi;Richard S. Falk.
Mathematics of Computation (2002)

316 Citations

Mixed finite element methods for linear elasticity with weakly imposed symmetry

Douglas N. Arnold;Richard S. Falk;Ragnar Winther.
Mathematics of Computation (2007)

303 Citations

Quadrilateral H (div) Finite Elements

Douglas N. Arnold;Daniele Boffi;Richard S. Falk.
SIAM Journal on Numerical Analysis (2004)

284 Citations

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Best Scientists Citing Richard S. Falk

Carsten Carstensen

Carsten Carstensen

Humboldt-Universität zu Berlin

Publications: 44

Ralf Hiptmair

Ralf Hiptmair

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Publications: 39

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Franco Brezzi

National Research Council (CNR)

Publications: 39

Jinchao Xu

Jinchao Xu

Pennsylvania State University

Publications: 38

Daniele Boffi

Daniele Boffi

King Abdullah University of Science and Technology

Publications: 34

Carlo Lovadina

Carlo Lovadina

University of Milan

Publications: 34

Douglas N. Arnold

Douglas N. Arnold

University of Minnesota

Publications: 34

Ragnar Winther

Ragnar Winther

University of Oslo

Publications: 31

Gabriel N. Gatica

Gabriel N. Gatica

University of Concepción

Publications: 31

Joachim Schöberl

Joachim Schöberl

TU Wien

Publications: 30

Rolf Stenberg

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Aalto University

Publications: 30

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L. Beirão da Veiga

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Publications: 30

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Louisiana State University

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Panayot S. Vassilevski

Portland State University

Publications: 24

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Wenbin Liu

University of Kent

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