BEM computations using the fast multipole method in combination with higher order elements and the Galerkin method

A new approach to the adaptive multilevel fast multipole method in combination with higher order elements and the Galerkin method is presented. As the computational costs and the memory requirements are approximately proportional to the number of unknowns, very large static problems with complex geo...

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Veröffentlicht in:	IEEE transactions on magnetics 2001-09, Vol.37 (5), p.3181-3185
Hauptverfasser:	Buchau, A., Rieger, W., Rucker, W.M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied classical electromagnetism Boundary conditions Boundary element method Boundary element methods Computation Computational efficiency Conductors Dielectrics Electromagnetism electron and ion optics Electrostatics Electrostatics. Poisson and laplace equations, boundary-value problems Equations Exact sciences and technology Fundamental areas of phenomenology (including applications) Galerkin methods Iterative methods Linear systems Magnetism Mathematical analysis Moment methods Multilevel Multipoles Physics
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Beschreibung
Zusammenfassung:	A new approach to the adaptive multilevel fast multipole method in combination with higher order elements and the Galerkin method is presented. As the computational costs and the memory requirements are approximately proportional to the number of unknowns, very large static problems with complex geometrical configuration can be solved on a small computer.
ISSN:	0018-9464 1941-0069
DOI:	10.1109/20.952572