Simultaneous computation of the lowest eigenvalues and eigenvectors of the Helmholtz equation:
Abstract: "This report collects a number of proposals to determine the lowest eigensolutions of the scalar Hemlholtz equation. The basic routine of all discussed algorithms is the standard Rayleigh quotient minimization process. The minimization is performed in a direct multilevel manner, and a...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin-Wilmersdorf
1995
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| Series: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report
1995,13 |
| Subjects: | |
| Summary: | Abstract: "This report collects a number of proposals to determine the lowest eigensolutions of the scalar Hemlholtz equation. The basic routine of all discussed algorithms is the standard Rayleigh quotient minimization process. The minimization is performed in a direct multilevel manner, and a subspace iteration is used to determine simultaneously a couple of eigensolutions. As smoother the nonlinear Gauss-Seidel, the nonlinear conjugate gradient method and a preconditioned version of this method are compared with respect to their efficiency. The numerical examples are based on realistic 1D and 2D models of integrated optics components." |
| Physical Description: | 27 S. graph. Darst. |
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| 245 | 1 | 0 | |a Simultaneous computation of the lowest eigenvalues and eigenvectors of the Helmholtz equation |c Frank Schmidt |
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| 300 | |a 27 S. |b graph. Darst. | ||
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| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report |v 1995,13 | |
| 520 | 3 | |a Abstract: "This report collects a number of proposals to determine the lowest eigensolutions of the scalar Hemlholtz equation. The basic routine of all discussed algorithms is the standard Rayleigh quotient minimization process. The minimization is performed in a direct multilevel manner, and a subspace iteration is used to determine simultaneously a couple of eigensolutions. As smoother the nonlinear Gauss-Seidel, the nonlinear conjugate gradient method and a preconditioned version of this method are compared with respect to their efficiency. The numerical examples are based on realistic 1D and 2D models of integrated optics components." | |
| 650 | 4 | |a Eigenvalues | |
| 650 | 4 | |a Eigenvectors | |
| 650 | 4 | |a Helmholtz equation |x Numerical solutions | |
| 830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report |v 1995,13 |w (DE-604)BV005567559 |9 1995,13 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007086463 | |
Record in the Search Index
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| id | DE-604.BV010624506 |
| illustrated | Illustrated |
| indexdate | 2025-01-10T17:06:53Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007086463 |
| oclc_num | 34345729 |
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| owner | DE-12 DE-703 DE-188 |
| owner_facet | DE-12 DE-703 DE-188 |
| physical | 27 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| record_format | marc |
| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report |
| spelling | Schmidt, Frank 1959- Verfasser (DE-588)1079145931 aut Simultaneous computation of the lowest eigenvalues and eigenvectors of the Helmholtz equation Frank Schmidt Berlin-Wilmersdorf 1995 27 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report 1995,13 Abstract: "This report collects a number of proposals to determine the lowest eigensolutions of the scalar Hemlholtz equation. The basic routine of all discussed algorithms is the standard Rayleigh quotient minimization process. The minimization is performed in a direct multilevel manner, and a subspace iteration is used to determine simultaneously a couple of eigensolutions. As smoother the nonlinear Gauss-Seidel, the nonlinear conjugate gradient method and a preconditioned version of this method are compared with respect to their efficiency. The numerical examples are based on realistic 1D and 2D models of integrated optics components." Eigenvalues Eigenvectors Helmholtz equation Numerical solutions Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report 1995,13 (DE-604)BV005567559 1995,13 |
| spellingShingle | Schmidt, Frank 1959- Simultaneous computation of the lowest eigenvalues and eigenvectors of the Helmholtz equation Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report Eigenvalues Eigenvectors Helmholtz equation Numerical solutions |
| title | Simultaneous computation of the lowest eigenvalues and eigenvectors of the Helmholtz equation |
| title_auth | Simultaneous computation of the lowest eigenvalues and eigenvectors of the Helmholtz equation |
| title_exact_search | Simultaneous computation of the lowest eigenvalues and eigenvectors of the Helmholtz equation |
| title_full | Simultaneous computation of the lowest eigenvalues and eigenvectors of the Helmholtz equation Frank Schmidt |
| title_fullStr | Simultaneous computation of the lowest eigenvalues and eigenvectors of the Helmholtz equation Frank Schmidt |
| title_full_unstemmed | Simultaneous computation of the lowest eigenvalues and eigenvectors of the Helmholtz equation Frank Schmidt |
| title_short | Simultaneous computation of the lowest eigenvalues and eigenvectors of the Helmholtz equation |
| title_sort | simultaneous computation of the lowest eigenvalues and eigenvectors of the helmholtz equation |
| topic | Eigenvalues Eigenvectors Helmholtz equation Numerical solutions |
| topic_facet | Eigenvalues Eigenvectors Helmholtz equation Numerical solutions |
| volume_link | (DE-604)BV005567559 |
| work_keys_str_mv | AT schmidtfrank simultaneouscomputationofthelowesteigenvaluesandeigenvectorsofthehelmholtzequation |