Some Large-Scale Scattering and Near-Field Results Computed by the Hybrid Finite Element – Boundary Integral – Multilevel Fast Multipole Method

2006 ◽  
Author(s):  
T.F. Eibert ◽  
A. Tzoulis
Keyword(s):  
Finite Element ◽  
Large Scale ◽  
Fast Multipole Method ◽  
Near Field ◽  
Boundary Integral ◽  
Fast Multipole ◽  
Hybrid Finite Element ◽  
Multipole Method

scholarly journals Application of the fast multipole method to hybrid finite element–boundary element models

2004 ◽  
Vol 168 (1-2) ◽  
pp. 403-412 ◽  
Author(s):  
R.V. Sabariego ◽  
J. Gyselinck ◽  
C. Geuzaine ◽  
P. Dular ◽  
W. Legros
Keyword(s):  
Finite Element ◽  
Boundary Element ◽  
Fast Multipole Method ◽  
Fast Multipole ◽  
Hybrid Finite Element ◽  
Multipole Method ◽  
Element Boundary

scholarly journals Fast computation of electromagnetic near-fields with the multilevel fast multipole method combining near-field and far-field translations

2006 ◽  
Vol 4 ◽  
pp. 111-115 ◽  
Author(s):  
A. Tzoulis ◽  
T. F. Eibert
Keyword(s):  
Electromagnetic Compatibility ◽  
Fast Multipole Method ◽  
Near Field ◽  
Boundary Integral ◽  
Far Field ◽  
Discrete Elements ◽  
Fast Multipole ◽  
Equivalent Current ◽  
Multipole Method ◽  
Current Densities

Abstract. In Electromagnetic Compatibility (EMC) problems, computation of electromagnetic near-fields in the vicinity of complex radiation and scattering systems is often required. Numerical solution of such problems is achieved using Boundary Integral (BI) based approaches, where the involved Integral Equations (IE's) are solved with the Method of Moments (MoM). The MoM solution process is speeded up by fast IE solvers such as the Multilevel Fast Multipole Method (MLFMM). In the end the desired amplitudes of the expansion of the equivalent current densities on the discrete elements all over the Huygens' surfaces are known. Computation of the electromagnetic fields produced by the equivalent currents at observation points being in the near-field regions requires integration of the current densities over the Huygens' surfaces. Numerical evaluation of the near-field integrals using conventional integration rules can become extremely time consuming for large objects and large number of observation points. In this contribution, acceleration of the near-field integration of the equivalent current densities is provided using a postprocessing MLFMM, where near-field and far-field translations are combined in order to achieve optimum performance. The proposed approach was applied in the postprocessing stage of a powerful Finite Element Boundary Element (FEBI) method, resulting in significant decrease of the postprocessing computation time. The formulation of the proposed acceleration is presented and numerical results are shown.

scholarly journals APPLICATION OF THE IMPROVED FINITE ELEMENT-FAST MULTIPOLE METHOD ON LARGE SCATTERING PROBLEMS

2004 ◽  
Vol 47 ◽  
pp. 49-60 ◽  
Author(s):  
Xing-Chang Wei ◽  
Er Ping Li ◽  
Yaojiang Jiang Zhang
Keyword(s):  
Finite Element ◽  
Fast Multipole Method ◽  
Fast Multipole ◽  
Scattering Problems ◽  
Multipole Method

Magneto-mechanical simulations by a coupled fast multipole method–finite element method and multigrid solvers

2005 ◽  
Vol 83 (10-11) ◽  
pp. 718-726 ◽  
Author(s):  
A. Frangi ◽  
P. Faure-Ragani ◽  
L. Ghezzi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fast Multipole Method ◽  
Fast Multipole ◽  
Multigrid Solvers ◽  
Multipole Method ◽  
Element Method
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