Local L2-bounded commuting projections in FEEC-Reference-Cited by-同舟云学术

Local L2-bounded commuting projections in FEEC

Published:2021-09 Issue:5 Volume:55 Page:2169-2184
ISSN:0764-583X
Container-title:ESAIM: Mathematical Modelling and Numerical Analysis
language:
Short-container-title:ESAIM: M2AN

Author:

Arnold Douglas^ORCID,Guzmán Johnny

Abstract

We construct local projections into canonical finite element spaces that appear in the finite element exterior calculus. These projections are bounded in L2 and commute with the exterior derivative.

Funder

Simons Foundation

Directorate for Mathematical and Physical Sciences

Publisher

EDP Sciences

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Link

https://www.esaim-m2an.org/10.1051/m2an/2021054/pdf

Reference16 articles.

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3. Finite element exterior calculus: from Hodge theory to numerical stability

4. Smoothed projections in finite element exterior calculus

5. On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains

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