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Title: Convergence improvement of the conjugate gradient iterative method for finite element simulations
Authors: De Gersem, Herbert ×
Hameyer, Kay #
Issue Date: 2001
Publisher: Mcb univ press ltd
Series Title: COMPEL vol:20 issue:1 pages:90-97
Abstract: The slow convergence of the incomplete Cholesky preconditioned conjugate gradient (CG) method, applied to solve the system representing a magnetostatic finite element model, is caused by the presence gf a few little eigenvalues in the spectrum of the system matrix. The corresponding eigenvectors reflect large relative differences in permeability. A significant convergence improvement is achieved by supplying vectors that span approximately the partial eigenspace formed by the slowly converging eigenmodes, to a deflated version of the CG algorithm. The numerical experiments show that even roughly determined eigenvectors already bring a significant convergence improvement The deflating technique is embedded in the simulation procedure for a permanent magnet DC machine.
URI: 
ISSN: 0332-1649
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Production Engineering, Machine Design and Automation (PMA) Section
ESAT - ELECTA, Electrical Energy Computer Architectures
Physics, Campus Kulak Kortrijk
× corresponding author
# (joint) last author

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