A New Mixed Finite Element Method For The Cahn-Hilliard Equation
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911435759550464 |
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| author | Liu, Zhen Ma, Rui Zhang, Min |
| author_facet | Liu, Zhen Ma, Rui Zhang, Min |
| contents | This paper presents a new mixed finite element method for the Cahn-Hilliard equation. The well-posedness of the mixed formulation is established and the error estimates for its linearized fully discrete scheme are provided. The new mixed finite element method provides a unified construction in two and three dimensions allowing for arbitrary polynomial degrees. Numerical experiments are given to validate the efficiency and accuracy of the theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14745 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A New Mixed Finite Element Method For The Cahn-Hilliard Equation Liu, Zhen Ma, Rui Zhang, Min Numerical Analysis This paper presents a new mixed finite element method for the Cahn-Hilliard equation. The well-posedness of the mixed formulation is established and the error estimates for its linearized fully discrete scheme are provided. The new mixed finite element method provides a unified construction in two and three dimensions allowing for arbitrary polynomial degrees. Numerical experiments are given to validate the efficiency and accuracy of the theoretical results. |
| title | A New Mixed Finite Element Method For The Cahn-Hilliard Equation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2408.14745 |