English

The MINI mixed virtual element for the Stokes equation

Numerical Analysis 2025-03-28 v1 Numerical Analysis

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.

Keywords

Cite

@article{arxiv.2503.20921,
  title  = {The MINI mixed virtual element for the Stokes equation},
  author = {Silvia Bertoluzza and Fabio Credali and Daniele Prada},
  journal= {arXiv preprint arXiv:2503.20921},
  year   = {2025}
}

Comments

31 pages, 8 figures, 1 table

R2 v1 2026-06-28T22:35:47.308Z