Serendipity discrete complexes with enhanced regularity
Numerical Analysis
2024-07-18 v1 Numerical Analysis
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.
Cite
@article{arxiv.2407.12625,
title = {Serendipity discrete complexes with enhanced regularity},
author = {Daniele Di Pietro and Marien Hanot and Marwa Salah},
journal= {arXiv preprint arXiv:2407.12625},
year = {2024}
}