The MINI mixed virtual element for the Stokes equation
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910895109570560 |
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| author | Bertoluzza, Silvia Credali, Fabio Prada, Daniele |
| author_facet | Bertoluzza, Silvia Credali, Fabio Prada, Daniele |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20921 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The MINI mixed virtual element for the Stokes equation Bertoluzza, Silvia Credali, Fabio Prada, Daniele Numerical Analysis 65N12, 65N15, 65N30 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. |
| title | The MINI mixed virtual element for the Stokes equation |
| topic | Numerical Analysis 65N12, 65N15, 65N30 |
| url | https://arxiv.org/abs/2503.20921 |