70 citations · 388 across the 29 of their papers we have counts for
Showing 2010Show all
3 papers · 1 filter
math.NA2010★ 4 cited
Semilinear mixed problems on Hilbert complexes and their numerical approximation
Michael Holst, Ari Stern
Arnold, Falk, and Winther recently showed [Bull. Amer. Math. Soc. 47 (2010), 281-354] that linear, mixed variational problems, and their numerical approximation by mixed finite ele…
math.NA2010★ 59 cited
Geometric variational crimes: Hilbert complexes, finite element exterior calculus, and problems on hypersurfaces
Michael Holst, Ari Stern
A recent paper of Arnold, Falk, and Winther [Bull AMS, 47 (2010)] showed that a large class of mixed finite element methods can be formulated naturally on Hilbert complexes, where…
math.DG2010★ 5 cited
L^p change of variables inequalities on manifolds
Ari Stern
We prove two-sided inequalities for the -norm of a pushforward or pullback (with respect to an orientation-preserving diffeomorphism) on oriented volume and Riemannian manifol…