The weak Galerkin finite element method for Stokes interface problems with curved interface
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917658634485760 |
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| author | Yang, Lin Zhai, Qilong Zhang, Ran |
| author_facet | Yang, Lin Zhai, Qilong Zhang, Ran |
| contents | In this paper, we develop a new weak Galerkin finite element scheme for the Stokes interface problem with curved interfaces. We take a unique vector-valued function at the interface and reflect the interface condition in the variational problem. Theoretical analysis and numerical experiments show that the errors can reach the optimal convergence order under the energy norm and $L^2$ norm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_11926 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The weak Galerkin finite element method for Stokes interface problems with curved interface Yang, Lin Zhai, Qilong Zhang, Ran Numerical Analysis In this paper, we develop a new weak Galerkin finite element scheme for the Stokes interface problem with curved interfaces. We take a unique vector-valued function at the interface and reflect the interface condition in the variational problem. Theoretical analysis and numerical experiments show that the errors can reach the optimal convergence order under the energy norm and $L^2$ norm. |
| title | The weak Galerkin finite element method for Stokes interface problems with curved interface |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2211.11926 |