A lowest-order weak Galerkin finite element method for Stokes flow on polygonal meshes

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Jiangguo Liu, Graham Harper, Nolisa Malluwawadu, Simon Tavener

Published: 01 Jan 2020, Last Modified: 16 May 2025J. Comput. Appl. Math. 2020EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: Highlights•A simple but efficient new finite element method for Stokes flow.•The method applies to triangular, quadrilateral, and polygonal meshes in a unified way.•First ever use of H(div)-subspaces on polygons for Stokes flow.•Discretely divergence-free scheme and subsequent pressure recovery.•Numerical examples for Stokes flow on polygonal meshes.