Mixed and Hybrid Finite Element Methods (Franco Brezzi and Michel Fortin). - Richard S. Falk (SIAM Rev., 1993)

Space-Time Finite Element Methods for Surface Diffusion with Applications to the Theory of the Stability of Cylinders. - Bernard D. Coleman; Richard S. Falk; Maher Moakher (SIAM J. Sci. Comput., 1996)

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

Locking-free finite elements for the Reissner-Mindlin plate. - Richard S. Falk; Tong Tu (Math. Comput., 2000)

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

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

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)

Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation. - Richard S. Falk; Michael Neilan (SIAM J. Numer. Anal., 2013)

A Mixed Finite Element Method for EWOD That Directly Computes the Position of the Moving Interface. - Richard S. Falk; Shawn W. Walker (SIAM J. Numer. Anal., 2013)

Local bounded cochain projections. - Richard S. Falk; Ragnar Winther (Math. Comput., 2014)

The Bubble Transform: A New Tool for Analysis of Finite Element Methods. - Richard S. Falk; Ragnar Winther (Found. Comput. Math., 2016)

Hidden Positivity and a New Approach to Numerical Computation of Hausdorff Dimension: Higher Order Methods. - Richard S. Falk; Roger D. Nussbaum (CoRR, 2020)

Local space-preserving decompositions for the bubble transform. - Richard S. Falk; Ragnar Winther (CoRR, 2023)

Construction of polynomial preserving cochain extensions by blending. - Richard S. Falk; Ragnar Winther (Math. Comput., 2023)

The Bubble Transform and the de Rham Complex. - Richard S. Falk; Ragnar Winther (Found. Comput. Math., 2024)