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

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

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

Construction of polynomial preserving cochain extensions by blending. - Falk, Richard S.; Winther, Ragnar (CoRR, 2022)

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

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

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

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

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

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

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

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

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

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

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

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

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

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