A high order stabilization-free virtual element method for general second-order elliptic eigenvalue problem
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911567754297344 |
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| author | Xu, Liangkun Wang, Shixi Yang, Yidu Bi, Hai |
| author_facet | Xu, Liangkun Wang, Shixi Yang, Yidu Bi, Hai |
| contents | In this paper, we discuss a novel higher-order stabilization-free virtual element method for general second-order elliptic eigenvalue problems. Optimal a priori error estimates are derived for both the approximate eigenspace and eigenvalues. Numerical experiments are conducted on regular convex polygonal meshes, convex-concave polygonal meshes, and concave polygonal meshes. The numerical results validate the effectiveness of the proposed method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_03727 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A high order stabilization-free virtual element method for general second-order elliptic eigenvalue problem Xu, Liangkun Wang, Shixi Yang, Yidu Bi, Hai Numerical Analysis In this paper, we discuss a novel higher-order stabilization-free virtual element method for general second-order elliptic eigenvalue problems. Optimal a priori error estimates are derived for both the approximate eigenspace and eigenvalues. Numerical experiments are conducted on regular convex polygonal meshes, convex-concave polygonal meshes, and concave polygonal meshes. The numerical results validate the effectiveness of the proposed method. |
| title | A high order stabilization-free virtual element method for general second-order elliptic eigenvalue problem |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2604.03727 |