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arXiv · 2101.09735

An Extended Galerkin analysis in finite element exterior calculus

Qingguo Hong·Yuwen Li·Jinchao Xu
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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.

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Qingguo Hong, Yuwen Li, Jinchao Xu. 2021-01-24. An Extended Galerkin analysis in finite element exterior calculus. https://doi.org/10.1090/mcom%2F3707

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