A Conforming virtual element approximation for the Oseen eigenvalue problem
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909209059131392 |
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| author | Amigo, Danilo Lepe, Felipe Verma, Nitesh |
| author_facet | Amigo, Danilo Lepe, Felipe Verma, Nitesh |
| contents | In this paper we analyze a conforming virtual element method to approximate the eigenfunctions and eigenvalues of the two dimensional Oseen eigenvalue problem. We consider the classic velocity-pressure formulation which allows us to consider the divergence-conforming virtual element spaces employed for the Stokes equations. Under standard assumptions on the meshes we derive a priori error estimates for the proposed method with the aid of the compact operators theory. We report some numerical tests to confirm the theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13657 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Conforming virtual element approximation for the Oseen eigenvalue problem Amigo, Danilo Lepe, Felipe Verma, Nitesh Numerical Analysis In this paper we analyze a conforming virtual element method to approximate the eigenfunctions and eigenvalues of the two dimensional Oseen eigenvalue problem. We consider the classic velocity-pressure formulation which allows us to consider the divergence-conforming virtual element spaces employed for the Stokes equations. Under standard assumptions on the meshes we derive a priori error estimates for the proposed method with the aid of the compact operators theory. We report some numerical tests to confirm the theoretical results. |
| title | A Conforming virtual element approximation for the Oseen eigenvalue problem |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2405.13657 |