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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24587

Title: Desingularized meshless method for solving Laplace equation with over-specified boundary conditions using regularization techniques
Authors: K. H. Chen;J. H. Kao;J. T. Chen;K. L. Wu
Contributors: NTOU:Department of Harbor and River Engineering
國立臺灣海洋大學:河海工程學系
Keywords: Desingularized meshless method;Tikhonov method;Truncated singular value decomposition;method;Inverse problem;Subtracting and adding-back technique
Date: 2009-05-01
Issue Date: 2011-10-20T08:12:55Z
Publisher: Computational Mechanics
Abstract: abstract:The desingularized meshless method (DMM) has been successfully used to solve boundary-value problems with specified boundary conditions (a direct problem) numerically. In this paper, the DMM is applied to deal with the problems with over-specified boundary conditions. The accompanied ill-posed problem in the inverse problem is remedied by using the Tikhonov regularization method and the truncated singular value decomposition method. The numerical evidences are given to verify the accuracy of the solutions after comparing with the results of analytical solutions through several numerical examples. The comparisons of results using Tikhonov method and truncated singular value decomposition method are also discussed in the examples.
Relation: 43(6), pp.827-837
URI: http://ntour.ntou.edu.tw/handle/987654321/24587
Appears in Collections:[河海工程學系] 期刊論文

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