Local L²-bounded commuting projections in FEEC

2021/04/01 by Arnold, Douglas N., Gúzman, Johnny · 3 citations
#65N30 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2104.00184

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.

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• Low-order finite element complex with application to a fourth-order elliptic singular perturbation problem
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