Distributional Finite Element curl div Complexes and Application to Quad Curl Problems
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909476529897472 |
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| author | Chen, Long Huang, Xuehai Zhang, Chao |
| author_facet | Chen, Long Huang, Xuehai Zhang, Chao |
| contents | The paper addresses the challenge of constructing finite element curl div complexes in three dimensions. Tangential-normal continuity is introduced in order to develop distributional finite element curl div complexes. The spaces constructed are applied to discretize the quad curl problem, demonstrating optimal order of convergence. Furthermore, a hybridization technique is proposed, demonstrating its equivalence to nonconforming finite elements and weak Galerkin methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_09051 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Distributional Finite Element curl div Complexes and Application to Quad Curl Problems Chen, Long Huang, Xuehai Zhang, Chao Numerical Analysis The paper addresses the challenge of constructing finite element curl div complexes in three dimensions. Tangential-normal continuity is introduced in order to develop distributional finite element curl div complexes. The spaces constructed are applied to discretize the quad curl problem, demonstrating optimal order of convergence. Furthermore, a hybridization technique is proposed, demonstrating its equivalence to nonconforming finite elements and weak Galerkin methods. |
| title | Distributional Finite Element curl div Complexes and Application to Quad Curl Problems |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2311.09051 |