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• W4295676823 abstract "In this work we prove that, for a general polyhedral domain of $mathbb{R}^3$, the cohomology spaces of the discrete de Rham complex of [Di Pietro and Droniou, An arbitrary-order discrete de Rham complex on polyhedral meshes: Exactness, Poincar'e inequalities, and consistency, Found. Comput. Math., 2021, DOI: 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 an arbitrary-order complex built from a general polyhedral mesh." @default.
• W4295676823 created "2022-09-14" @default.
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• W4295676823 date "2023-05-24" @default.
• W4295676823 modified "2023-10-09" @default.
• W4295676823 title "Cohomology of the discrete de Rham complex on domains of general topology" @default.
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• W4295676823 doi "https://doi.org/10.1007/s10092-023-00523-7" @default.
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