Work

The MINI Mixed Virtual Element for the Stokes Equation

Year: 2026

Type: article

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.

Source: Computational Methods in Applied Mathematics

DOI: 10.1515/cmam-2025-0045

Authors: Silvia Bertoluzza, Fabio Credali, Daniele Prada

Institutions: Istituto di Matematica Applicata e Tecnologie Informatiche, King Abdullah University of Science and Technology

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Ministero dell'Università e della Ricerca, Gruppo Nazionale per il Calcolo Scientifico

Awards: G2185431611, Advanced polyhedral discretisations of heterogeneous PDEs for multiphysics problems