Vectorized implementation of primal hybrid FEM in MATLAB
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866911766289580032 |
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| author | Mallesham, Harish Nagula Porwal, Kamana Valdman, Jan Acharya, Sanjib Kumar |
| author_facet | Mallesham, Harish Nagula Porwal, Kamana Valdman, Jan Acharya, Sanjib Kumar |
| contents | We present efficient MATLAB implementations of the lowest-order primal hybrid finite element method (FEM) for linear second-order elliptic and parabolic problems with mixed boundary conditions in two spatial dimensions. We employ the Crank-Nicolson finite difference scheme for the complete discrete setup of the parabolic problem. All the codes presented are fully vectorized using matrix-wise array operations. Numerical experiments are conducted to show the performance of the software. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15557 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vectorized implementation of primal hybrid FEM in MATLAB Mallesham, Harish Nagula Porwal, Kamana Valdman, Jan Acharya, Sanjib Kumar Numerical Analysis We present efficient MATLAB implementations of the lowest-order primal hybrid finite element method (FEM) for linear second-order elliptic and parabolic problems with mixed boundary conditions in two spatial dimensions. We employ the Crank-Nicolson finite difference scheme for the complete discrete setup of the parabolic problem. All the codes presented are fully vectorized using matrix-wise array operations. Numerical experiments are conducted to show the performance of the software. |
| title | Vectorized implementation of primal hybrid FEM in MATLAB |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2401.15557 |