Hybridization and postprocessing in finite element exterior calculus

Hybridization and postprocessing in finite element exterior calculus

We hybridize the methods of finite element exterior calculus for the Hodge–Laplace problem on differential k-forms in \mathbb {R}^n. In the cases k=0 and k=n, we recover well-known primal and mixed hybrid methods for the scalar Poisson equation, while for 0

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Veröffentlicht in:Mathematics of computation 2023, Vol.92 (339), p.79-115
Hauptverfasser: Awanou, Gerard, Fabien, Maurice, Guzmán, Johnny, Stern, Ari
Format: Artikel
Sprache:eng
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Zusammenfassung:We hybridize the methods of finite element exterior calculus for the Hodge–Laplace problem on differential k-forms in \mathbb {R}^n. In the cases k=0 and k=n, we recover well-known primal and mixed hybrid methods for the scalar Poisson equation, while for 0
ISSN:0025-5718
1088-6842
DOI:10.1090/mcom/3743