Reduced basis approximation of parametric eigenvalue problems in presence of clusters and intersections
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866911949650919424 |
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| author | Boffi, Daniele Halim, Abdul Priyadarshi, Gopal |
| author_facet | Boffi, Daniele Halim, Abdul Priyadarshi, Gopal |
| contents | In this paper we discuss reduced order models for the approximation of parametric eigenvalue problems. In particular, we are interested in the presence of intersections or clusters of eigenvalues. The singularities originating by these phenomena make it hard a straightforward generalization of well known strategies normally used for standards PDEs. We investigate how the known results extend (or not) to higher order frequencies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_00898 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Reduced basis approximation of parametric eigenvalue problems in presence of clusters and intersections Boffi, Daniele Halim, Abdul Priyadarshi, Gopal Numerical Analysis In this paper we discuss reduced order models for the approximation of parametric eigenvalue problems. In particular, we are interested in the presence of intersections or clusters of eigenvalues. The singularities originating by these phenomena make it hard a straightforward generalization of well known strategies normally used for standards PDEs. We investigate how the known results extend (or not) to higher order frequencies. |
| title | Reduced basis approximation of parametric eigenvalue problems in presence of clusters and intersections |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2302.00898 |