The Mixed Virtual Element Discretization for highly-anisotropic problems: the role of the boundary degrees of freedom
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910748171567104 |
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| author | Berrone, Stefano Scialò, Stefano Teora, Gioana |
| author_facet | Berrone, Stefano Scialò, Stefano Teora, Gioana |
| contents | In this paper, we discuss the accuracy and the robustness of the mixed Virtual Element Methods when dealing with highly-anisotropic diffusion problems. In particular, we analyze the performances of different approaches which are characterized by different sets of both boundary and internal degrees of freedom in presence of a strong anisotropy of the diffusion tensor with constant or variable coefficients. A new definition of the boundary degrees of freedom is also proposed and tested. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_16474 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Mixed Virtual Element Discretization for highly-anisotropic problems: the role of the boundary degrees of freedom Berrone, Stefano Scialò, Stefano Teora, Gioana Numerical Analysis In this paper, we discuss the accuracy and the robustness of the mixed Virtual Element Methods when dealing with highly-anisotropic diffusion problems. In particular, we analyze the performances of different approaches which are characterized by different sets of both boundary and internal degrees of freedom in presence of a strong anisotropy of the diffusion tensor with constant or variable coefficients. A new definition of the boundary degrees of freedom is also proposed and tested. |
| title | The Mixed Virtual Element Discretization for highly-anisotropic problems: the role of the boundary degrees of freedom |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2307.16474 |