|Title:||Desingularized meshless method for solving Laplace equation with over-specified boundary conditions using regularization techniques||Authors:||Chen, K. H.
Kao, J. H.
Wu, K. L.
|Keywords:||Desingularized meshless method;Tikhonov method;Truncated singular value decomposition method;Inverse problem;Subtracting and adding-back technique||Issue Date:||26-Nov-2008||Publisher:||Springer||Journal Volume:||43||Journal Issue:||6||Start page/Pages:||827-837||Source:||Computational Mechanics||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.
|Appears in Collections:||河海工程學系|
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