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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50312

Title: Solving Inverse Laplace Equation with Singularity by Weighted Reproducing Kernel Collocation Method
Authors: Judy P. Yang
Pai-Chen Guan
Chia-Ming Fan
Contributors: 國立臺灣海洋大學:系統工程暨造船學系
Keywords: Inverse Laplace equation
singularity
reproducing kernel approximation
strong form
collocation method
Date: 2017-07
Issue Date: 2018-10-02T08:07:21Z
Publisher: International Journal of Applied Mechanics
Abstract: Abstract: This work introduces the weighted collocation method with reproducing kernel approximation to solve the inverse Laplace equations. As the inverse problems in consideration are equipped with over-specified boundary conditions, the resulting equations yield an overdetermined system. Following our previous work, the weighted collocation method using a least-squares minimization has shown to solve the inverse Cauchy problems efficiently without using techniques such as iteration and regularization. In this work, we further consider solving the inverse problems of Laplace type and introduce the Shepard functions to deal with singularity. Numerical examples are provided to demonstrate the validity of the method.
Relation: 9(5)
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50312
Appears in Collections:[系統工程暨造船學系] 期刊論文

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