A posteriori error estimation for weak Galerkin method of the fourth-order singularly perturbed problem
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914069569601536 |
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| author | Liu, Shicheng Zhai, Qilong |
| author_facet | Liu, Shicheng Zhai, Qilong |
| contents | In this paper, we present a posteriori error estimation for weak Galerkin method applied to fourth order singularly perturbed problem. The weak Galerkin discretization space and numerical scheme are first described. A fully computable residual type error estimator is then constructed. Both the reliability and efficiency of the proposed estimator are rigorously demonstrated. Numerical experiments are provided to validate the theoretical findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00354 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A posteriori error estimation for weak Galerkin method of the fourth-order singularly perturbed problem Liu, Shicheng Zhai, Qilong Numerical Analysis In this paper, we present a posteriori error estimation for weak Galerkin method applied to fourth order singularly perturbed problem. The weak Galerkin discretization space and numerical scheme are first described. A fully computable residual type error estimator is then constructed. Both the reliability and efficiency of the proposed estimator are rigorously demonstrated. Numerical experiments are provided to validate the theoretical findings. |
| title | A posteriori error estimation for weak Galerkin method of the fourth-order singularly perturbed problem |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2510.00354 |