A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces:
Abstract: "We present a finite volume method for the solution of the two-dimensional Poisson equation [inverted triangle]. ([Beta](x) [inverted triangle] u(x)) = f(x) with variable, discontinuous coefficients and solution discontinuities on irregular domains. The method uses bilinear ansatz fun...
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
2006
|
| Series: | ZIB-Report
2006,05 |
| Subjects: | |
| Summary: | Abstract: "We present a finite volume method for the solution of the two-dimensional Poisson equation [inverted triangle]. ([Beta](x) [inverted triangle] u(x)) = f(x) with variable, discontinuous coefficients and solution discontinuities on irregular domains. The method uses bilinear ansatz functions on Cartesian grids for the solution u(x) resulting in a compact nine-point stencil. The resulting linear problem has been solved with a standard multigrid solver. Singularities associated with vanishing partial volumes of intersected grid cells or the dual bilinear ansatz itself are removed by a two-step asymptotic approach. The method achieves second order of accuracy in the L[superscript infinity] and L² norm." |
| Physical Description: | 26 S. Ill., graph. Darst. |
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| 245 | 1 | 0 | |a A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces |c Michael Oevermann ; Rupert Klein |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 2006 | |
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| 520 | 3 | |a Abstract: "We present a finite volume method for the solution of the two-dimensional Poisson equation [inverted triangle]. ([Beta](x) [inverted triangle] u(x)) = f(x) with variable, discontinuous coefficients and solution discontinuities on irregular domains. The method uses bilinear ansatz functions on Cartesian grids for the solution u(x) resulting in a compact nine-point stencil. The resulting linear problem has been solved with a standard multigrid solver. Singularities associated with vanishing partial volumes of intersected grid cells or the dual bilinear ansatz itself are removed by a two-step asymptotic approach. The method achieves second order of accuracy in the L[superscript infinity] and L² norm." | |
| 650 | 4 | |a Finite volume method | |
| 650 | 4 | |a Poisson's equation | |
| 700 | 1 | |a Klein, Rupert |e Verfasser |4 aut | |
| 830 | 0 | |a ZIB-Report |v 2006,05 |w (DE-604)BV013191727 |9 2006,05 | |
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Record in the Search Index
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| author | Oevermann, Michael 1967- Klein, Rupert |
| author_GND | (DE-588)120804875 |
| author_facet | Oevermann, Michael 1967- Klein, Rupert |
| author_role | aut aut |
| author_sort | Oevermann, Michael 1967- |
| author_variant | m o mo r k rk |
| building | Verbundindex |
| bvnumber | BV021570233 |
| ctrlnum | (OCoLC)70123442 (DE-599)BVBBV021570233 |
| dewey-full | 518.64 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518.64 |
| dewey-search | 518.64 |
| dewey-sort | 3518.64 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| id | DE-604.BV021570233 |
| illustrated | Illustrated |
| index_date | 2024-07-02T14:38:05Z |
| indexdate | 2024-07-09T20:38:53Z |
| institution | BVB |
| language | English |
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| physical | 26 S. Ill., graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
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| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series | ZIB-Report |
| series2 | ZIB-Report |
| spelling | Oevermann, Michael 1967- Verfasser (DE-588)120804875 aut A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces Michael Oevermann ; Rupert Klein Berlin Konrad-Zuse-Zentrum für Informationstechnik 2006 26 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier ZIB-Report 2006,05 Abstract: "We present a finite volume method for the solution of the two-dimensional Poisson equation [inverted triangle]. ([Beta](x) [inverted triangle] u(x)) = f(x) with variable, discontinuous coefficients and solution discontinuities on irregular domains. The method uses bilinear ansatz functions on Cartesian grids for the solution u(x) resulting in a compact nine-point stencil. The resulting linear problem has been solved with a standard multigrid solver. Singularities associated with vanishing partial volumes of intersected grid cells or the dual bilinear ansatz itself are removed by a two-step asymptotic approach. The method achieves second order of accuracy in the L[superscript infinity] and L² norm." Finite volume method Poisson's equation Klein, Rupert Verfasser aut ZIB-Report 2006,05 (DE-604)BV013191727 2006,05 |
| spellingShingle | Oevermann, Michael 1967- Klein, Rupert A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces ZIB-Report Finite volume method Poisson's equation |
| title | A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces |
| title_auth | A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces |
| title_exact_search | A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces |
| title_exact_search_txtP | A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces |
| title_full | A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces Michael Oevermann ; Rupert Klein |
| title_fullStr | A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces Michael Oevermann ; Rupert Klein |
| title_full_unstemmed | A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces Michael Oevermann ; Rupert Klein |
| title_short | A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces |
| title_sort | a cartesian grid finite volume method for the solution of the poisson equation with variable coefficients and embedded interfaces |
| topic | Finite volume method Poisson's equation |
| topic_facet | Finite volume method Poisson's equation |
| volume_link | (DE-604)BV013191727 |
| work_keys_str_mv | AT oevermannmichael acartesiangridfinitevolumemethodforthesolutionofthepoissonequationwithvariablecoefficientsandembeddedinterfaces AT kleinrupert acartesiangridfinitevolumemethodforthesolutionofthepoissonequationwithvariablecoefficientsandembeddedinterfaces |