An arbitrary order Reconstructed Discontinuous Approximation to Fourth-order Curl Problem
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911910721486848 |
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| author | Li, Ruo Liu, Qicheng Zhao, Shuhai |
| author_facet | Li, Ruo Liu, Qicheng Zhao, Shuhai |
| contents | We present an arbitrary order discontinuous Galerkin finite element method for solving the fourth-order curl problem using a reconstructed discontinuous approximation method. It is based on an arbitrarily high-order approximation space with one unknown per element in each dimension. The discrete problem is based on the symmetric IPDG method. We prove a priori error estimates under the energy norm and the L^2 norm and show numerical results to verify the theoretical analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05624 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An arbitrary order Reconstructed Discontinuous Approximation to Fourth-order Curl Problem Li, Ruo Liu, Qicheng Zhao, Shuhai Numerical Analysis We present an arbitrary order discontinuous Galerkin finite element method for solving the fourth-order curl problem using a reconstructed discontinuous approximation method. It is based on an arbitrarily high-order approximation space with one unknown per element in each dimension. The discrete problem is based on the symmetric IPDG method. We prove a priori error estimates under the energy norm and the L^2 norm and show numerical results to verify the theoretical analysis. |
| title | An arbitrary order Reconstructed Discontinuous Approximation to Fourth-order Curl Problem |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2406.05624 |