AN EXTENDED GALERKIN ANALYSIS IN FINITE ELEMENT EXTERIOR CALCULUS

Qingguo Hong, Yuwen Li, Jinchao Xu

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

For the Hodge-Laplace equation in finite element exterior calculus, we introduce several families of discontinuous Galerkin methods in the extended Galerkin framework. For contractible domains, this framework utilizes seven fields and provides a unifying inf-sup analysis with respect to all discretization and penalty parameters. It is shown that the proposed methods can be hybridized as a reduced two-field formulation.
Original languageEnglish (US)
Pages (from-to)1077-1106
Number of pages30
JournalMathematics of Computation
Volume91
Issue number335
DOIs
StatePublished - Jan 1 2022
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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