Homogeneous multigrid for HDG
We introduce a multigrid method that is homogeneous in the sense that it uses the same hybridizable discontinuous Galerkin (HDG) discretization scheme for Poisson’s equation on all levels. In particular, we construct a stable injection operator and prove optimal convergence of the method under the a...
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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
October 2022
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| In: |
IMA journal of numerical analysis
Year: 2022, Jahrgang: 42, Heft: 4, Pages: 3135-3153 |
| ISSN: | 1464-3642 |
| DOI: | 10.1093/imanum/drab055 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1093/imanum/drab055 Verlag, lizenzpflichtig, Volltext: https://academic.oup.com/imajna/article/42/4/3135/6323813 
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| Verfasserangaben: | Peipei Lu, Andreas Rupp and Guido Kanschat |
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| 520 | |a We introduce a multigrid method that is homogeneous in the sense that it uses the same hybridizable discontinuous Galerkin (HDG) discretization scheme for Poisson’s equation on all levels. In particular, we construct a stable injection operator and prove optimal convergence of the method under the assumption of elliptic regularity. Numerical experiments underline our analytical findings. | ||
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