Adaptive FEM with optimal convergence rate for non-self-adjoint eigenvalue problems
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915859579011072 |
|---|---|
| author | Wang, Shixi Bi, Hai Yang, Yidu |
| author_facet | Wang, Shixi Bi, Hai Yang, Yidu |
| contents | In this paper, we first discuss the optimal convergence of the adaptive finite element methods for non-self-adjoint eigenvalue problems. We present new theoretical error estimators and computable error estimators for multiple and clustered eigenvalues with the help of the error estimators of finite element solutions for the corresponding source problems, and prove the equivalence between these two estimators. We propose an adaptive algorithm for the eigenvalue cluster and demonstrate that it achieves the optimal convergence rate.We also provide numerical experiments to support our theoretical findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_12973 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Adaptive FEM with optimal convergence rate for non-self-adjoint eigenvalue problems Wang, Shixi Bi, Hai Yang, Yidu Numerical Analysis Spectral Theory In this paper, we first discuss the optimal convergence of the adaptive finite element methods for non-self-adjoint eigenvalue problems. We present new theoretical error estimators and computable error estimators for multiple and clustered eigenvalues with the help of the error estimators of finite element solutions for the corresponding source problems, and prove the equivalence between these two estimators. We propose an adaptive algorithm for the eigenvalue cluster and demonstrate that it achieves the optimal convergence rate.We also provide numerical experiments to support our theoretical findings. |
| title | Adaptive FEM with optimal convergence rate for non-self-adjoint eigenvalue problems |
| topic | Numerical Analysis Spectral Theory |
| url | https://arxiv.org/abs/2603.12973 |