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International Journal of Computer Mathematics Volume 89, 2012 - Issue 1
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Section B

A meshless method for solving the free boundary problem associated with unilateral obstacle

DaMing Yuan Department of Mathematics, Zhejiang University, Hangzhou, China; College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, ChinaCorrespondence[email protected]
&
XiaoLiang Cheng Department of Mathematics, Zhejiang University, Hangzhou, China
Pages 90-97 | Received 13 Jan 2011, Accepted 11 Sep 2011, Published online: 07 Nov 2011
 
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Abstract

In this paper, we discuss the numerical method for solving the first kind of elliptic variational inequality. We first use the fundamental solution as the basis function to approximate the solution of variational inequality, then we employ Uzawa's algorithm to determine the free boundary and the solution. Numerical examples are given to verify the efficiency of the method.

2010 AMS Subject Classifications :

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