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Preprints, Working Papers, ... Year : 2024

Serendipity discrete complexes with enhanced regularity

Marien-Lorenzo Hanot
Marwa Salah
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Abstract

In this work we address the problem of finding serendipity versions of approximate de Rham complexes with enhanced regularity. The starting point is a new abstract construction of general scope which, given three complexes linked by extension and reduction maps, generates a fourth complex with cohomology isomorphic to the former three. This construction is used to devise new serendipity versions of rot-rot and Stokes complexes derived in the Discrete de Rham spirit.
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Dates and versions

hal-04651866 , version 1 (17-07-2024)

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  • HAL Id : hal-04651866 , version 1

Cite

Daniele Antonio Di Pietro, Marien-Lorenzo Hanot, Marwa Salah. Serendipity discrete complexes with enhanced regularity. 2024. ⟨hal-04651866⟩
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