Quasi-optimal polytopal finite element methods for biharmonic equation
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911703499800576 |
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| author | Tran, Ngoc Tien |
| author_facet | Tran, Ngoc Tien |
| contents | This paper establishes quasi-optimal and lower-order error estimates for weak Galerkin, discontinuous Galerkin, and hybrid-high order finite element methods for the biharmonic equation under minimal regularity assumptions on general polytopal meshes. Furthermore, it is shown that the stabilization is an efficient contribution in a~posteriori error estimators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21764 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quasi-optimal polytopal finite element methods for biharmonic equation Tran, Ngoc Tien Numerical Analysis 65N12, 65N15, 65N30 This paper establishes quasi-optimal and lower-order error estimates for weak Galerkin, discontinuous Galerkin, and hybrid-high order finite element methods for the biharmonic equation under minimal regularity assumptions on general polytopal meshes. Furthermore, it is shown that the stabilization is an efficient contribution in a~posteriori error estimators. |
| title | Quasi-optimal polytopal finite element methods for biharmonic equation |
| topic | Numerical Analysis 65N12, 65N15, 65N30 |
| url | https://arxiv.org/abs/2605.21764 |