An Extended Galerkin analysis in finite element exterior calculus
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866918349802307584 |
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| author | Hong, Qingguo Li, Yuwen Xu, Jinchao |
| author_facet | Hong, Qingguo Li, Yuwen Xu, Jinchao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_09735 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | An Extended Galerkin analysis in finite element exterior calculus Hong, Qingguo Li, Yuwen Xu, Jinchao Numerical Analysis 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. |
| title | An Extended Galerkin analysis in finite element exterior calculus |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2101.09735 |