Improved grouping scheme and meshing strategies for the fast multipole method
If the fast multipole method (FMM) is applied in the context of the boundary element method, the efficiency and accuracy of the FMM is significantly influenced by the used hierarchical grouping scheme. Hence, in this paper, a new approach to the grouping scheme is presented to solve numerical exampl...
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| Published in | Compel Vol. 22; no. 3; pp. 495 - 507 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Bradford
MCB UP Ltd
01.09.2003
Emerald Group Publishing Limited |
| Subjects | |
| Online Access | Get full text |
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| Abstract | If the fast multipole method (FMM) is applied in the context of the boundary element method, the efficiency and accuracy of the FMM is significantly influenced by the used hierarchical grouping scheme. Hence, in this paper, a new approach to the grouping scheme is presented to solve numerical examples with problem-oriented meshes and higher order elements accurately and efficiently. Furthermore, with the proposed meshing strategies the efficiency of the FMM can be additionally controlled. |
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| AbstractList | If the fast multipole method (FMM) is applied in the context of the boundary element method, the efficiency and accuracy of the FMM is significantly influenced by the used hierarchical grouping scheme. Hence, in this paper, a new approach to the grouping scheme is presented to solve numerical examples with problem‐oriented meshes and higher order elements accurately and efficiently. Furthermore, with the proposed meshing strategies the efficiency of the FMM can be additionally controlled. If the fast multipole method (FMM) is applied in the context of the boundary element method, the efficiency and accuracy of the FMM is significantly influenced by the used hierarchical grouping scheme. Hence, in this paper, a new approach to the grouping scheme is presented to solve numerical examples with problem-oriented meshes and higher order elements accurately and efficiently. Furthermore, with the proposed meshing strategies the efficiency of the FMM can be additionally controlled. [PUBLICATION ABSTRACT] If the fast multipole method FMM is applied in the context of the boundary element method, the efficiency and accuracy of the FMM is significantly influenced by the used hierarchical grouping scheme. Hence, in this paper, a new approach to the grouping scheme is presented to solve numerical examples with problemoriented meshes and higher order elements accurately and efficiently. Furthermore, with the proposed meshing strategies the efficiency of the FMM can be additionally controlled. |
| Author | Rucker, Wolfgang M. Buchau, André Hafla, Wolfgang Groh, Friedemann |
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| Snippet | If the fast multipole method (FMM) is applied in the context of the boundary element method, the efficiency and accuracy of the FMM is significantly influenced... If the fast multipole method FMM is applied in the context of the boundary element method, the efficiency and accuracy of the FMM is significantly influenced... |
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| SubjectTerms | Accuracy Boundary element method Efficiency Finite element analysis Laplace transform Laplace transforms Mathematical models Spheres Studies |
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| Title | Improved grouping scheme and meshing strategies for the fast multipole method |
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