An inf-sup stable and robust discretization of the Stokes equations with large irrotational sources on general meshes
type: Distribution
access URL: https://hal.science/hal-00708270
format: HTML
issued: 2026-05-14T15:52:12.891098
modified: 2026-05-14T15:52:12.851670

An inf-sup stable and robust discretization of the Stokes equations with large irrotational sources on general meshes
type: Dataset
contact point: Organization
  fn: CCSD
keyword: general-meshes
keyword: mathmath-namathematics-mathnumerical-analysis-mathna
keyword: reports
keyword: 65n08-65n30
keyword: stokes
keyword: irrotational-source-term
keyword: infoeu-reposemanticsreport
landing page: https://hal.science/hal-00708270
description: In this note we propose a discretization of the Stokes equations which is inf-sup stable on general polygonal or polyhedral meshes and robust with respect to the presence of large irrotational source terms. The key idea is to construct a discrete space for the velocity which extends two important properties of the Crouzeix-Raviart element to general meshes, namely the continuity of mean values at interfaces and the approximation of nontrivial solenoidal fields. As a result, it is proved that the approximation of the velocity is not affected by the presence of the irrotational part of the source term. A numerical validation of the theoretical results is provided.
issued: 2026-05-14T15:52:12.867589
language: en
modified: 2026-05-14T15:52:12.867595

test_moissonnage_selune
type: Agent