Cohomology of the discrete de Rham complex on domains of general topology
| Autor: | Daniele A. Di Pietro, Jérôme Droniou, Silvano Pitassi |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Calcolo. 60 |
| ISSN: | 1126-5434 0008-0624 |
| DOI: | 10.1007/s10092-023-00523-7 |
| Popis: | In this work we prove that, for a general polyhedral domain of $$\mathbb {R}^3$$ R 3 , the cohomology spaces of the discrete de Rham complex of Di Pietro and Droniou (Found Comput Math 23:85–164, 2023, https://doi.org/10.1007/s10208-021-09542-8) are isomorphic to those of the continuous de Rham complex. This is, to the best of our knowledge, the first result of this kind for a fully computable arbitrary-order complex built from a general polyhedral mesh. |
| Databáze: | OpenAIRE |
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