The stabilizer free weak Galerkin mixed finite elements method for the biharmonic equation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914719329157120 |
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| author | Gu, Shanshan Huo, Fuchang Liu, Shicheng |
| author_facet | Gu, Shanshan Huo, Fuchang Liu, Shicheng |
| contents | In this article, the stabilizer free weak Galerkin (SFWG) finite element method is applied to the Ciarlet-Raviart mixed form of the Biharmonic equation. We utilize the SFWG solutions of the second elliptic problems to define projection operators, build error equations, and further derive the error estimates. Finally, numerical examples support the results reached by the theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_06465 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The stabilizer free weak Galerkin mixed finite elements method for the biharmonic equation Gu, Shanshan Huo, Fuchang Liu, Shicheng Numerical Analysis In this article, the stabilizer free weak Galerkin (SFWG) finite element method is applied to the Ciarlet-Raviart mixed form of the Biharmonic equation. We utilize the SFWG solutions of the second elliptic problems to define projection operators, build error equations, and further derive the error estimates. Finally, numerical examples support the results reached by the theory. |
| title | The stabilizer free weak Galerkin mixed finite elements method for the biharmonic equation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2311.06465 |