Inverse analysis by boundary element method with singular value decomposition

Enokizono M.; Kato E.

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Inverse analysis by boundary element method with singular value decomposition

机译：边界元方法的奇异值分解反分析

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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.

机译：本文介绍了一种基于奇异值分解和模糊推理的稳定系数矩阵的优化设计方法。我们已经报告了一些使用边界元法的最佳设计方法，并表明通过利用最小二乘法或模糊推理法的迭代计算已经获得了目标形状。由于大多数优化方法的系数矩阵都是不适定矩阵，因此分析会遇到很多困难。我们研究了系数矩阵，并通过奇异值分解将其转换为一个适定的矩阵。在这种方法中，模糊的正则化参数是通过模糊推理确定的。例如，将奇异值分解应用于同步加速器模型的不适定矩阵，以进行极点形状优化。

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《IEEE Transactions on Magnetics》 |1996年第3期|P.1322-1325|共4页
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Enokizono M.; Kato E.;
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4. Inverse Analysis by Boundary Element Method with Singular Value Decomposition [C] . Masato Enokizono, Wiji Kato, Yuji Tsuchida IEEE transactions on magnetics . 1995

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Inverse analysis by boundary element method with singular value decomposition

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