[en] This paper deals with the acceleration of the hybrid finite-element/boundary-element analysis of three-dimensional (3-D) eddy-current problems by means of the fast multipole method. An adaptive truncation scheme for the multipole expansion of the 3-D Laplace Green function is proposed. As an application example, the TEAM workshop problem 28 is considered. The computational cost without and with fast multipole acceleration is discussed.
Disciplines :
Electrical & electronics engineering
Author, co-author :
V Sabariego, Ruth ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Gyselinck, J.
Dular, Patrick ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Geuzaine, Christophe ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Legros, Willy ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Dép. d'électric., électron. et informat. (Inst.Montefiore)
Language :
English
Title :
Fast multipole acceleration of the hybrid finite-element/boundary-element analysis of 3-D eddy-current problems
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Bibliography
S. Kurz, J. Fetzer, G. Lehner, and W. M. Rucker, "A novel formulation for 3D eddy current problems with moving bodies using a Lagrangian description and BEM-FEM coupling," IEEE Trans. Magn., vol. 34, pp. 3068-3073, Sept. 1998.
V. Rokhlin, "Rapid solution of integral equations of classical potential theory," J. Comput. Phys., vol. 60, no. 2, pp. 187-207, 1985.
Y. Saad and M. H. Schultz, "GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems," SIAM J. Sci. Comput., vol. 7, no. 3, pp. 856-869, July 1986.
J. M. Song and W. C. Chew, "Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering," Micr. Opt. Tech. Lett., pp. 14-19, Sept. 1995.
K. Nabors and J. White, "FastCap: A multipole accelerated 3-D capacitance extraction program," IEEE Trans. Computer-Aided Design, vol. 10, pp. 1447-1459, Nov. 1991.
A. Buchau, C. J. Huber, W. Rieger, and W. M. Rucker, "Fast BEM computations with the adaptive multilevel fast multipole method," IEEE Trans. Magn., vol. 36, pp. 680-684, July 2000.
N. Lu and J.-M. Jin, "Application of fast multipole method to finite-element boundary-integral solution of scattering problems," IEEE Trans. Antennas Propagat., vol. 44, pp. 781-786, June 1996.
H. Karl, J. Fetzer, S. Kurz, G. Lehner, and W. M. Rucker, "Description of TEAM workshop problem 28: An electrodynamic levitation device," [Online]. Available: http://ics.ec.lyon.fr/team.html.
R. D. Graglia, "On the numerical integration of the linear shape functions times the 3D Green's function of its gradient on a plane triangle," IEEE Trans. Antennas Propagat., vol. 41, pp. 1448-1455, Oct. 1993.
P. Dular, C. Geuzaine, and W. Legros, "A natural method for coupling magnetodynamic h-formulation and circuit equations," IEEE Trans. Magn., vol. 35, pp. 1626-1629, May 1999.
R. V. Sabariego, J. Gyselinck, C. Geuzaine, P. Dular, and W. Legros, "Application of the fast multipole method to the 2D finite element-boundary element analysis of electromechanical devices," Int. J. Comput. Math. Elect. Electron. Eng., vol. 22, no. 3, pp. 659-673, 2003.
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