Application of the fast multipole method to hybrid finite element-boundary element models

in Journal of Computational & Applied Mathematics (2004), 168(1-2), 403-412

This paper focuses on the acceleration of the hybrid finite element-boundary element analysis of 2D eddy current problems by means of the fast multipole method. An adaptive truncation scheme for the ... [more ▼]

This paper focuses on the acceleration of the hybrid finite element-boundary element analysis of 2D eddy current problems by means of the fast multipole method. An adaptive truncation scheme for the expansion of the 2D Laplace Green function is proposed. A linear time harmonic test case is considered. The results obtained with the hybrid model, with and without fast multipole acceleration, agree well with those obtained with a finite element model. The computational cost of the three calculations is compared and discussed. The proposed adaptive truncation scheme significantly contributes to the computation time savings achieved with the fast multipole method, particularly when dealing with moderate sized problems. (C) 2003 Elsevier B.V. All rights reserved. [less ▲]

Multi-Harmonic Modelling of Motional Magnetic Field Problems using a Hybrid Finite Element--Boundary Element Discretisation

in Journal of Computational & Applied Mathematics (2004), 168

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

in COMPEL (2003), 22(3), 659-673

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 ... [more ▼]

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. [less ▲]

A General Method for the Frequency Domain FE Modelling of Rotating Electromagnetic Devices

in IEEE Transactions on Magnetics (2003), 39(3), 1147--1150

Application of the Fast Multipole Method to Hybrid Finite Element--Boundary Element Models

in Proceedings of the 2nd international conference on advanced computational methods in engineering, ACOMEN 2002 (2002)

Multi-Harmonic Modelling of Motional Magnetic Field Problems using a Hybrid Finite Element--Boundary Element Discretisation

in 2nd international conference on advanced computational methods in engineering, ACOMEN 2002 (2002)

Numerical Simulations and Experimental Investigations of the Semi-Solid Metal Processing of Steels

in Proceedings of the 7th International Conference on Semi-Solid Processing of Alloys and Composites, S2P 2002 (2002)

A general approach to the harmonic balance finite element method for the modelling of 2D and 3D electromagnetic devices

in Proceedings of the 11th COMPUMAG Conference on the Computation of Electromagnetic Fields (2001)

Dual Formulations for the Modeling of Thin Electromagnetic Shells using Edge Elements

in IEEE Transactions on Magnetics (2000), 36(4), 799-803

Magneto-thermal coupling simulations -- Application to the SSM processing of steels

in Proceedings of the 5th International Workshop on Electric and Magnetic Fields, EMF 2000 (2000)