The two-grid weak Galerkin method and enriched Crouzeix-Raviart element method for linear elastic eigenvalue problems
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866911090118492160 |
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| author | Lu, Wei Zhai, Qilong |
| author_facet | Lu, Wei Zhai, Qilong |
| contents | In this paper, we present a two-gird skill to accelerate the weak Galerkin method. By the proper use of parameters, the two-grid weak Galerkin method not only doubles the convergence rate, but also maintains the asymptotic lower bounds property of the weak Galerkin (WG) method. Moreover, we propose an enriched Crouzeix-Raviart (ECR) scheme, which can also provide lower bounds for the linear elastic eigenvalue problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02065 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The two-grid weak Galerkin method and enriched Crouzeix-Raviart element method for linear elastic eigenvalue problems Lu, Wei Zhai, Qilong Numerical Analysis In this paper, we present a two-gird skill to accelerate the weak Galerkin method. By the proper use of parameters, the two-grid weak Galerkin method not only doubles the convergence rate, but also maintains the asymptotic lower bounds property of the weak Galerkin (WG) method. Moreover, we propose an enriched Crouzeix-Raviart (ECR) scheme, which can also provide lower bounds for the linear elastic eigenvalue problems. |
| title | The two-grid weak Galerkin method and enriched Crouzeix-Raviart element method for linear elastic eigenvalue problems |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2508.02065 |