DocumentCode :
1959203
Title :
A Wavelet-based Algebraic Multigrid Preconditioning for Iterative Solvers in 3D timeharmonic Electromagnetic Edge-based Finite Element Analysis
Author :
Pereira, Fabio Henrique ; Palin, Marcelo Facio ; Verardi, Sergio Luis Lopes ; Silva, Viviane Cristine ; Cardoso, Jose Roberto ; Nabeta, Silvio
Author_Institution :
Escola Politecnica da Univ. de Sao Paulo
fYear :
0
fDate :
0-0 0
Firstpage :
50
Lastpage :
50
Abstract :
The algebraic multigrid (AMG) method is an efficient preconditioner for iterative solvers for linear systems of equations arising from various finite element analyses. However, classical AMG method cannot directly be applied to ungauged edge-based electromagnetic FE analysis, since the coefficient matrix violates the M-matrix property. A new approach for AMG, based in Wavelets and called WAMG, is presented, which eliminates this problem. The numerical results show that the proposed AMG is more efficient than shifted incomplete Cholesky when used as preconditioner for the biconjugate gradient stabilized (BiCGstab)
Keywords :
computational electromagnetics; differential equations; finite element analysis; harmonic analysis; iterative methods; matrix algebra; wavelet transforms; 3D time-harmonic electromagnetic edge-based FEA; M-matrix property; biconjugate gradient stabilized preconditioner; coefficient matrix; iterative solvers; linear systems; shifted incomplete Cholesky; wavelet-based algebraic multigrid preconditioning; Discrete wavelet transforms; Electromagnetic analysis; Electromagnetic fields; Electromagnetic scattering; Equations; Finite element methods; Grounding; Multigrid methods; Substations; Wavelet analysis;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Electromagnetic Field Computation, 2006 12th Biennial IEEE Conference on
Conference_Location :
Miami, FL
Print_ISBN :
1-4244-0320-0
Type :
conf
DOI :
10.1109/CEFC-06.2006.1632842
Filename :
1632842
Link To Document :
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