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Application of the fast multipole method to the 2D finite element‐boundary element analysis of electromechanical devices

Application to the fast multipole method to the 2D finite element-boundary element analysis of electromechanical devices
Authors: V Sabariego, Ruth; Gyselinck, J.; Geuzaine, Christophe; Dular, Patrick; Legros, Willy;

Application of the fast multipole method to the 2D finite element‐boundary element analysis of electromechanical devices

Abstract

Summary: The present paper deals with the fast multipole acceleration of the 2D finite element-boundary element modelling of electromechanical devices. It is shown that the fast multipole method, usually applied to large 3D problems, can also lead to a reduction in computational time when dealing with relatively small 2D problems, provided that an adaptive truncation scheme for the expansion of the 2D Laplace Green function is used. As an application example, the 2D hybrid modelling of a linear actuator is studied, taking into account saturation, the voltage supply and the mechanical equation. The computational cost without and with fast multipole acceleration is discussed for both the linear and nonlinear case.

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Keywords

Technology, Finite element method, Ingénierie électrique & électronique, finite element method, Hybrid techniques, Mathematics, Applied, Numerical & Computational Mathematics, Boundary element methods applied to problems in optics and electromagnetic theory, Ingénierie, informatique & technologie, boundary element method, Engineering, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, SYSTEMS, 0102 Applied Mathematics, Electrical machines, Boundary element method, Electrical & electronics engineering, electrical machines, Science & Technology, 4008 Electrical engineering, Engineering, Electrical & Electronic, hybrid techniques, Engineering, computing & technology, Technical applications of optics and electromagnetic theory, Physical Sciences, Computer Science, Computer Science, Interdisciplinary Applications, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
bronze