The MINI mixed virtual element for the Stokes equation

Mathematics > Numerical Analysis [Submitted on 26 Mar 2025 (v1), last revised 7 Jun 2026 (this version, v2)] Title:The MINI mixed virtual element for the Stokes equation View PDF HTML (experimental)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. Submission history From: Fabio Credali [view email][v1] Wed, 26 Mar 2025 18:55:06 UTC (2,003 KB) [v2] Sun, 7 Jun 2026 07:02:18 UTC (3,205 KB) Current browse context: math.NA References & Citations Loading... Bibliographic and Citation Tools Bibliographic Explorer (What is the Explorer?) Connected Papers (What is Connected Papers?) Litmaps (What is Litmaps?) scite Smart Citations (What are Smart Citations?) Code, Data and Media Associated with this Article alphaXiv (What is alphaXiv?) CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub (What is DagsHub?) Gotit.pub (What is GotitPub?) Hugging Face (What is Huggingface?) ScienceCast (What is ScienceCast?) Demos Recommenders and Search Tools Influence Flower (What are Influence Flowers?) CORE Recommender (What is CORE?) arXivLabs: experimental projects with community collaborators Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.