2021/01/24 by Hong, Qingguo, Li, Yuwen, Xu, Jinchao
#FOS: Mathematics #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.2101.09735
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.