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An Extended Galerkin analysis in finite element exterior calculus (2101.09735v1)
Published 24 Jan 2021 in math.NA and cs.NA
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.