Work

Serendipity discrete complexes with enhanced regularity

Year: 2025

Type: article

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.

Source: CALCOLO

DOI: 10.1007/s10092-025-00665-w

Authors: Daniele A. Di Pietro, Marien Hanot, Marwa Salah

Institutions: Centre National de la Recherche Scientifique, Institut Montpelliérain Alexander Grothendieck, Institut national de recherche en sciences et technologies du numérique, Université de Lille

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: European Commission, European Research Council