DOI: 10.1515/cmam-2025-0045 ISSN: 1609-4840

The MINI Mixed Virtual Element for the Stokes Equation

Silvia Bertoluzza, Fabio Credali, Daniele Prada

Abstract

We present and discuss a generalization of the popular MINI mixed finite element for the 2D Stokes equation by means of conforming virtual elements on polygonal meshes. We prove optimal error estimates for both velocity and pressure. Theoretical results are confirmed by several numerical tests performed with different choices of polynomial accuracy and meshes.

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