Automatic construction of boundary parametrizations for geometric multigrid solvers:
Abstract: "We present an algorithm that constructs parametrizations of boundary and interface surfaces automatically. Starting with high-resolution triangulated surfaces describing the computational domains, we iteratively simplify the surfaces yielding a coarse approximation of the boundaries...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
2003
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| Schriftenreihe: | ZIB-Report
2003,02 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "We present an algorithm that constructs parametrizations of boundary and interface surfaces automatically. Starting with high-resolution triangulated surfaces describing the computational domains, we iteratively simplify the surfaces yielding a coarse approximation of the boundaries with the same topological type. While simplifying we construct a function that is defined on the coarse surface and whose image is the original surface. This function allows access to the correct shape and surface normals of the original surface as well as to any kind of data defined on it. Such information can be used by geometric multigrid solvers doing adaptive mesh refinement. Our algorithm runs stable on all types of input surfaces, including those that describe domains consisting of several materials. We have used our method with success in different fields and we discuss examples from structural mechanics and biomechanics." |
| Beschreibung: | 21 S. Ill., graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Sander, Oliver |e Verfasser |0 (DE-588)122667050 |4 aut | |
| 245 | 1 | 0 | |a Automatic construction of boundary parametrizations for geometric multigrid solvers |c Oliver Sander ; Rolf Krause |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 2003 | |
| 300 | |a 21 S. |b Ill., graph. Darst. | ||
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| 490 | 1 | |a ZIB-Report |v 2003,02 | |
| 520 | 3 | |a Abstract: "We present an algorithm that constructs parametrizations of boundary and interface surfaces automatically. Starting with high-resolution triangulated surfaces describing the computational domains, we iteratively simplify the surfaces yielding a coarse approximation of the boundaries with the same topological type. While simplifying we construct a function that is defined on the coarse surface and whose image is the original surface. This function allows access to the correct shape and surface normals of the original surface as well as to any kind of data defined on it. Such information can be used by geometric multigrid solvers doing adaptive mesh refinement. Our algorithm runs stable on all types of input surfaces, including those that describe domains consisting of several materials. We have used our method with success in different fields and we discuss examples from structural mechanics and biomechanics." | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Multigrid methods (Numerical analysis) | |
| 830 | 0 | |a ZIB-Report |v 2003,02 |w (DE-604)BV013191727 |9 2003,02 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-016238909 | |
Datensatz im Suchindex
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| author | Sander, Oliver |
| author_GND | (DE-588)122667050 |
| author_facet | Sander, Oliver |
| author_role | aut |
| author_sort | Sander, Oliver |
| author_variant | o s os |
| building | Verbundindex |
| bvnumber | BV023035119 |
| classification_rvk | SS 4779 |
| ctrlnum | (OCoLC)52753586 (DE-599)BVBBV023035119 |
| discipline | Informatik |
| discipline_str_mv | Informatik |
| format | Book |
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| id | DE-604.BV023035119 |
| illustrated | Illustrated |
| index_date | 2024-07-02T19:18:34Z |
| indexdate | 2025-01-10T17:06:53Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016238909 |
| oclc_num | 52753586 |
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| owner | DE-703 |
| owner_facet | DE-703 |
| physical | 21 S. Ill., graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series | ZIB-Report |
| series2 | ZIB-Report |
| spelling | Sander, Oliver Verfasser (DE-588)122667050 aut Automatic construction of boundary parametrizations for geometric multigrid solvers Oliver Sander ; Rolf Krause Berlin Konrad-Zuse-Zentrum für Informationstechnik 2003 21 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier ZIB-Report 2003,02 Abstract: "We present an algorithm that constructs parametrizations of boundary and interface surfaces automatically. Starting with high-resolution triangulated surfaces describing the computational domains, we iteratively simplify the surfaces yielding a coarse approximation of the boundaries with the same topological type. While simplifying we construct a function that is defined on the coarse surface and whose image is the original surface. This function allows access to the correct shape and surface normals of the original surface as well as to any kind of data defined on it. Such information can be used by geometric multigrid solvers doing adaptive mesh refinement. Our algorithm runs stable on all types of input surfaces, including those that describe domains consisting of several materials. We have used our method with success in different fields and we discuss examples from structural mechanics and biomechanics." Boundary value problems Multigrid methods (Numerical analysis) ZIB-Report 2003,02 (DE-604)BV013191727 2003,02 |
| spellingShingle | Sander, Oliver Automatic construction of boundary parametrizations for geometric multigrid solvers ZIB-Report Boundary value problems Multigrid methods (Numerical analysis) |
| title | Automatic construction of boundary parametrizations for geometric multigrid solvers |
| title_auth | Automatic construction of boundary parametrizations for geometric multigrid solvers |
| title_exact_search | Automatic construction of boundary parametrizations for geometric multigrid solvers |
| title_exact_search_txtP | Automatic construction of boundary parametrizations for geometric multigrid solvers |
| title_full | Automatic construction of boundary parametrizations for geometric multigrid solvers Oliver Sander ; Rolf Krause |
| title_fullStr | Automatic construction of boundary parametrizations for geometric multigrid solvers Oliver Sander ; Rolf Krause |
| title_full_unstemmed | Automatic construction of boundary parametrizations for geometric multigrid solvers Oliver Sander ; Rolf Krause |
| title_short | Automatic construction of boundary parametrizations for geometric multigrid solvers |
| title_sort | automatic construction of boundary parametrizations for geometric multigrid solvers |
| topic | Boundary value problems Multigrid methods (Numerical analysis) |
| topic_facet | Boundary value problems Multigrid methods (Numerical analysis) |
| volume_link | (DE-604)BV013191727 |
| work_keys_str_mv | AT sanderoliver automaticconstructionofboundaryparametrizationsforgeometricmultigridsolvers |