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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Bibliographic Details
Published inCompel Vol. 22; no. 3; pp. 495 - 507
Main Authors Buchau, André, Hafla, Wolfgang, Groh, Friedemann, Rucker, Wolfgang M.
Format Journal Article
LanguageEnglish
Published Bradford MCB UP Ltd 01.09.2003
Emerald Group Publishing Limited
Subjects
Accuracy
Boundary element method
Efficiency
Finite element analysis
Laplace transform
Laplace transforms
Mathematical models
Spheres
Studies
Laplace transform
Boundary element method
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Summary: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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ISSN:0332-1649
2054-5606
DOI:10.1108/03321640310474895