Exact Integration for singular Zienkiewicz and Guzman-Neilan Finite Elements with Implementation
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909646196834304 |
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| author | Diening, Lars Storn, Johannes Tscherpel, Tabea |
| author_facet | Diening, Lars Storn, Johannes Tscherpel, Tabea |
| contents | We develop a recursive integration formula for a class of rational polynomials in 2D. Based on this, we present implementations of finite elements that have rational basis functions. Specifically, we provide simple Matlab implementations of the singular Zienkiewicz and the lowest-order Guzman-Neilan finite element in 2D. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09485 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact Integration for singular Zienkiewicz and Guzman-Neilan Finite Elements with Implementation Diening, Lars Storn, Johannes Tscherpel, Tabea Numerical Analysis 65D32, 65N30, 76D07, 76M10 We develop a recursive integration formula for a class of rational polynomials in 2D. Based on this, we present implementations of finite elements that have rational basis functions. Specifically, we provide simple Matlab implementations of the singular Zienkiewicz and the lowest-order Guzman-Neilan finite element in 2D. |
| title | Exact Integration for singular Zienkiewicz and Guzman-Neilan Finite Elements with Implementation |
| topic | Numerical Analysis 65D32, 65N30, 76D07, 76M10 |
| url | https://arxiv.org/abs/2411.09485 |