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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2404.17661 |
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| _version_ | 1866917652178403328 |
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| author | Wells, H. |
| author_facet | Wells, H. |
| contents | A virtual element discretisation of an Arbitrary Lagrangian-Eulerian method for two-dimensional convection-diffusion equations is proposed employing an isoparametric Virtual Element Method to achieve higher-order convergence rates on curved edged polygonal meshes. The proposed method is validated with numerical experiments in which optimal $H^1$ and $L^2$ convergence are observed. This method is then successfully applied to an existing moving mesh algorithm for implicit moving boundary problems in which higher-order convergence is achieved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17661 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A High-order Arbitrary Lagrangian-Eulerian Virtual Element Method for Convection-Diffusion Problems Wells, H. Numerical Analysis A virtual element discretisation of an Arbitrary Lagrangian-Eulerian method for two-dimensional convection-diffusion equations is proposed employing an isoparametric Virtual Element Method to achieve higher-order convergence rates on curved edged polygonal meshes. The proposed method is validated with numerical experiments in which optimal $H^1$ and $L^2$ convergence are observed. This method is then successfully applied to an existing moving mesh algorithm for implicit moving boundary problems in which higher-order convergence is achieved. |
| title | A High-order Arbitrary Lagrangian-Eulerian Virtual Element Method for Convection-Diffusion Problems |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2404.17661 |