A Krylov Eigenvalue Solver Based on Filtered Time Domain Solutions
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917589000650752 |
|---|---|
| author | Nannen, Lothar Wess, Markus |
| author_facet | Nannen, Lothar Wess, Markus |
| contents | This paper introduces a method for computing eigenvalues and eigenvectors of a generalized Hermitian, matrix eigenvalue problem. The work is focused on large scale eigenvalue problems, where the application of a direct inverse is out of reach. Instead, an explicit time-domain integrator for the corresponding wave problem is combined with a proper filtering and a Krylov iteration in order to solve for eigenvalues within a given region of interest. We report results of small scale model problems to confirm the reliability of the method, as well as the computation of acoustic resonances in a three dimensional model of a hunting horn to demonstrate the efficiency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08515 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Krylov Eigenvalue Solver Based on Filtered Time Domain Solutions Nannen, Lothar Wess, Markus Numerical Analysis 65F15 This paper introduces a method for computing eigenvalues and eigenvectors of a generalized Hermitian, matrix eigenvalue problem. The work is focused on large scale eigenvalue problems, where the application of a direct inverse is out of reach. Instead, an explicit time-domain integrator for the corresponding wave problem is combined with a proper filtering and a Krylov iteration in order to solve for eigenvalues within a given region of interest. We report results of small scale model problems to confirm the reliability of the method, as well as the computation of acoustic resonances in a three dimensional model of a hunting horn to demonstrate the efficiency. |
| title | A Krylov Eigenvalue Solver Based on Filtered Time Domain Solutions |
| topic | Numerical Analysis 65F15 |
| url | https://arxiv.org/abs/2402.08515 |