Fast BEM computations with the adaptive multilevel fast multipole method

Fast BEM computations with the adaptive multilevel fast multipole method

Since the storage requirements of the BEM are proportional to N/sup 2/, only relative small problems can be solved on a PC or a workstation. In this paper we present an adaptive multilevel fast multipole method for the solution of electrostatic problems with the BEM. We will show, that in practice t...

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Veröffentlicht in:IEEE transactions on magnetics 2000-07, Vol.36 (4), p.680-684
Hauptverfasser: Buchau, A., Huber, C.J., Rieger, W., Rucker, W.M.
Format: Artikel
Sprache:eng
Schlagworte:
Applied classical electromagnetism
Boundary conditions
Boundary element method
Computational efficiency
Conductors
Dielectrics
Electromagnetism
electron and ion optics
Electrostatics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Iterative methods
Laplace equations
Lead
Magnetism
Magnetostatics
magnetic shielding, magnetic induction, boundary-value problems
Mathematical analysis
Multilevel
Multipoles
Personal computers
Physics
Polarization
Workstations
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Zusammenfassung:Since the storage requirements of the BEM are proportional to N/sup 2/, only relative small problems can be solved on a PC or a workstation. In this paper we present an adaptive multilevel fast multipole method for the solution of electrostatic problems with the BEM. We will show, that in practice the storage requirements and the computational costs are approximately proportional to N and therefore even large three dimensional problems can be solved on a relative small computer.
ISSN:0018-9464
1941-0069
DOI:10.1109/20.877540