Adaptive Mixed FEM for the Stokes eigenvalue problem
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866908432650469376 |
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| author | Boffi, Daniele Khan, Arbaz |
| author_facet | Boffi, Daniele Khan, Arbaz |
| contents | In this paper we discuss the optimal convergence of a standard adaptive scheme based on mixed finite element approximation to the solution of the eigenvalue problem associated with the Stokes equations. The proofs of the quasi-orthogonality and the discrete reliability are presented. Our numerical experiments confirm the efficacy of the proposed adaptive scheme. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07132 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Adaptive Mixed FEM for the Stokes eigenvalue problem Boffi, Daniele Khan, Arbaz Numerical Analysis 65N30, 65N25, 65N50, 76D0 In this paper we discuss the optimal convergence of a standard adaptive scheme based on mixed finite element approximation to the solution of the eigenvalue problem associated with the Stokes equations. The proofs of the quasi-orthogonality and the discrete reliability are presented. Our numerical experiments confirm the efficacy of the proposed adaptive scheme. |
| title | Adaptive Mixed FEM for the Stokes eigenvalue problem |
| topic | Numerical Analysis 65N30, 65N25, 65N50, 76D0 |
| url | https://arxiv.org/abs/2401.07132 |