Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method

DOI10.1051/m2an/2022067zbMath1516.65127arXiv2203.02939OpenAlexW4280521709MaRDI QIDQ6041071

Jérôme Droniou, Daniele A. Di Pietro

Publication date: 25 May 2023

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.02939

zbMATH Keywords

virtual element methodserendipitypolytopal methodscompatible discretisationsdiscrete de Rham method

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) de Rham theory in global analysis (58A12) Electro- and magnetostatics (78A30) Integro-partial differential equations (35R09)

Related Items (3)

A pressure-robust discrete de Rham scheme for the Navier-Stokes equations ⋮ A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations ⋮ Cohomology of the discrete de Rham complex on domains of general topology

Cites Work

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