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 language | English (US) |
|---|---|
| Pages (from-to) | 1077-1106 |
| Number of pages | 30 |
| Journal | Mathematics of Computation |
| Volume | 91 |
| Issue number | 335 |
| DOIs | |
| State | Published - 2022 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics
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