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

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

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 (CoRR, 2022)

The Bubble Transform and the de Rham Complex - Richard S. Falk; Ragnar Winther (CoRR, 2021)

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

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

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

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)

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

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

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

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

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)

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

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)

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