Localized Orthogonal Decomposition Method with $H^1$ Interpolation for Multiscale Elliptic 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_ | 1866915001582747648 |
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| author | Yu, Tao Yue, Xingye |
| author_facet | Yu, Tao Yue, Xingye |
| contents | This paper employs a localized orthogonal decomposition (LOD) method with $H^1$ interpolation for solving the multiscale elliptic problem. This method does not need any assumptions on scale separation. We give a priori error estimate for the proposed method. The theoretical results are conformed by various numerical experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00363 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Localized Orthogonal Decomposition Method with $H^1$ Interpolation for Multiscale Elliptic Problem Yu, Tao Yue, Xingye Numerical Analysis This paper employs a localized orthogonal decomposition (LOD) method with $H^1$ interpolation for solving the multiscale elliptic problem. This method does not need any assumptions on scale separation. We give a priori error estimate for the proposed method. The theoretical results are conformed by various numerical experiments. |
| title | Localized Orthogonal Decomposition Method with $H^1$ Interpolation for Multiscale Elliptic Problem |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2411.00363 |