The MINI Mixed Virtual Element for the Stokes Equation
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.
Authors
- Fabio Credali (ORCID: https://orcid.org/0000-0001-8568-7021)
- Daniele Prada (ORCID: https://orcid.org/0000-0002-8498-0928)
- Silvia Bertoluzza (ORCID: https://orcid.org/0000-0002-1354-7158)
Institutions
- Istituto di Matematica Applicata e Tecnologie Informatiche (IT)
- King Abdullah University of Science and Technology (SA)
Publication Details
- Journal
- Computational Methods in Applied Mathematics
- Published
- 2026-06-25
- DOI
- https://doi.org/10.1515/cmam-2025-0045
- Primary Topic
- Advanced Numerical Methods in Computational Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Ministero dell'Università e della Ricerca
- Gruppo Nazionale per il Calcolo Scientifico