Article

Inverse analysis by boundary element method with singular value decomposition

Dept. of Electr. & Electron. Eng., Oita Univ.
IEEE Transactions on Magnetics (impact factor: 1.36). 06/1996; DOI:10.1109/20.497489
Source: IEEE Xplore

ABSTRACT This paper describes an optimal design method by means of the
singular value decomposition and fuzzy inference in stabilizing the
coefficient matrix. We have already reported some optimal design methods
with the boundary element method, and shown that an objective shape has
been obtained with the iterative calculation that utilizes the least
square method or the fuzzy inference method. Because most coefficient
matrices of optimization methods are ill-posed matrices, the analyses
accompany much difficulty. We investigate the coefficient matrix, and
transform it into a well-posed one by using the singular value
decomposition. In this method, the ambiguous regularization parameter is
determined with fuzzy inference. As an example, singular value
decomposition is applied to the ill-posed matrix of a synchrotron model
for pole shape optimization

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Keywords

ambiguous regularization parameter
 
analyses
 
boundary element method
 
coefficient matrix
 
fuzzy inference method
 
ill-posed matrix
 
iterative calculation
 
objective shape
 
optimal design method
 
optimal design methods
 
optimization methods
 
singular value decomposition
 
square method
 
synchrotron model
 

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