A New Div-Div-Conforming Symmetric Tensor Finite Element Space with Applications to the Biharmonic Equation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910367447252992 |
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| author | Chen, Long Huang, Xuehai |
| author_facet | Chen, Long Huang, Xuehai |
| contents | A new $H(\textrm{divdiv})$-conforming finite element is presented, which avoids the need for super-smoothness by redistributing the degrees of freedom to edges and faces. This leads to a hybridizable mixed method with superconvergence for the biharmonic equation. Moreover, new finite element divdiv complexes are established. Finally, new weak Galerkin and $C^0$ discontinuous Galerkin methods for the biharmonic equation are derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_11356 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A New Div-Div-Conforming Symmetric Tensor Finite Element Space with Applications to the Biharmonic Equation Chen, Long Huang, Xuehai Numerical Analysis 65N30, 58J10, 65N12, 65N15 A new $H(\textrm{divdiv})$-conforming finite element is presented, which avoids the need for super-smoothness by redistributing the degrees of freedom to edges and faces. This leads to a hybridizable mixed method with superconvergence for the biharmonic equation. Moreover, new finite element divdiv complexes are established. Finally, new weak Galerkin and $C^0$ discontinuous Galerkin methods for the biharmonic equation are derived. |
| title | A New Div-Div-Conforming Symmetric Tensor Finite Element Space with Applications to the Biharmonic Equation |
| topic | Numerical Analysis 65N30, 58J10, 65N12, 65N15 |
| url | https://arxiv.org/abs/2305.11356 |