Computation of discrete transparent boundary conditions for the 2D Helmholtz equation:
Abstract: "We present a family of nonlocal transparent boundary conditions for the 2D Helmholtz equation. The whole domain, on which the Helmholtz equation is defined, is decomposed into an interior and an exterior domain. The corresponding interior Helmholtz problem is formulated as a variatio...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1997
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| Series: | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin
1997,64 |
| Subjects: | |
| Summary: | Abstract: "We present a family of nonlocal transparent boundary conditions for the 2D Helmholtz equation. The whole domain, on which the Helmholtz equation is defined, is decomposed into an interior and an exterior domain. The corresponding interior Helmholtz problem is formulated as a variational problem in standard manner, representing a boundary value problem, whereas the exterior problem is posed as an initial value problem in the radial variable. This problem is then solved approximately by means of the Laplace transformation. The derived boundary conditions are asymptotically correct, model inhomogeneous exterior domains and are simple to implement." |
| Physical Description: | 15 S. Ill., graph. Darst. |
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| 245 | 1 | 0 | |a Computation of discrete transparent boundary conditions for the 2D Helmholtz equation |c Frank Schmidt |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1997 | |
| 300 | |a 15 S. |b Ill., graph. Darst. | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |v 1997,64 | |
| 520 | 3 | |a Abstract: "We present a family of nonlocal transparent boundary conditions for the 2D Helmholtz equation. The whole domain, on which the Helmholtz equation is defined, is decomposed into an interior and an exterior domain. The corresponding interior Helmholtz problem is formulated as a variational problem in standard manner, representing a boundary value problem, whereas the exterior problem is posed as an initial value problem in the radial variable. This problem is then solved approximately by means of the Laplace transformation. The derived boundary conditions are asymptotically correct, model inhomogeneous exterior domains and are simple to implement." | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Finite element method | |
| 650 | 4 | |a Helmholtz equation | |
| 650 | 4 | |a Variational inequalities (Mathematics) | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t Preprint SC |v 1997,64 |w (DE-604)BV004801715 |9 1997,64 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010360866 | |
Record in the Search Index
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| building | Verbundindex |
| bvnumber | BV017189940 |
| classification_rvk | SS 4777 |
| ctrlnum | (OCoLC)39980966 (DE-599)BVBBV017189940 |
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| id | DE-604.BV017189940 |
| illustrated | Illustrated |
| indexdate | 2025-01-10T17:08:10Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010360866 |
| oclc_num | 39980966 |
| open_access_boolean | |
| owner | DE-703 DE-188 |
| owner_facet | DE-703 DE-188 |
| physical | 15 S. Ill., graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series2 | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Schmidt, Frank 1959- Verfasser (DE-588)1079145931 aut Computation of discrete transparent boundary conditions for the 2D Helmholtz equation Frank Schmidt Berlin Konrad-Zuse-Zentrum für Informationstechnik 1997 15 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1997,64 Abstract: "We present a family of nonlocal transparent boundary conditions for the 2D Helmholtz equation. The whole domain, on which the Helmholtz equation is defined, is decomposed into an interior and an exterior domain. The corresponding interior Helmholtz problem is formulated as a variational problem in standard manner, representing a boundary value problem, whereas the exterior problem is posed as an initial value problem in the radial variable. This problem is then solved approximately by means of the Laplace transformation. The derived boundary conditions are asymptotically correct, model inhomogeneous exterior domains and are simple to implement." Boundary value problems Finite element method Helmholtz equation Variational inequalities (Mathematics) Konrad-Zuse-Zentrum für Informationstechnik Berlin Preprint SC 1997,64 (DE-604)BV004801715 1997,64 |
| spellingShingle | Schmidt, Frank 1959- Computation of discrete transparent boundary conditions for the 2D Helmholtz equation Boundary value problems Finite element method Helmholtz equation Variational inequalities (Mathematics) |
| title | Computation of discrete transparent boundary conditions for the 2D Helmholtz equation |
| title_auth | Computation of discrete transparent boundary conditions for the 2D Helmholtz equation |
| title_exact_search | Computation of discrete transparent boundary conditions for the 2D Helmholtz equation |
| title_full | Computation of discrete transparent boundary conditions for the 2D Helmholtz equation Frank Schmidt |
| title_fullStr | Computation of discrete transparent boundary conditions for the 2D Helmholtz equation Frank Schmidt |
| title_full_unstemmed | Computation of discrete transparent boundary conditions for the 2D Helmholtz equation Frank Schmidt |
| title_short | Computation of discrete transparent boundary conditions for the 2D Helmholtz equation |
| title_sort | computation of discrete transparent boundary conditions for the 2d helmholtz equation |
| topic | Boundary value problems Finite element method Helmholtz equation Variational inequalities (Mathematics) |
| topic_facet | Boundary value problems Finite element method Helmholtz equation Variational inequalities (Mathematics) |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT schmidtfrank computationofdiscretetransparentboundaryconditionsforthe2dhelmholtzequation |