Solving Inverse Laplace Equation with Singularity by Weighted Reproducing Kernel Collocation Method

Judy Ping Yang*, Pai Chen Guan, Chia Ming Fan

*Corresponding author for this work

研究成果: Article同行評審

6 引文 斯高帕斯(Scopus)

摘要

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.

原文English
文章編號1750065
期刊International Journal of Applied Mechanics
9
發行號5
DOIs
出版狀態Published - 1 七月 2017

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