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Serendipity discrete complexes with enhanced regularity
Article de revue   Avec comité de lecture

Serendipity discrete complexes with enhanced regularity

Daniele A Di Pietro, Marien Hanot et Marwa Salah
Calcolo, Vol.62(4), p.41
01/11/2025
PMID: 41114403

Résumé

Rot–rot complex Serendipity Discrete de Rham method Compatible discretizations Stokes complex
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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