| Asymptotic approximation method for elliptic variational inequality of first kind简 |
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| 引用本文： | 李曦,袁达明. Asymptotic approximation method for elliptic variational inequality of first kind简[J]. 应用数学和力学(英文版), 2014, 35(3): 381-390. DOI: 10.1007/s10483-014-1798-x |
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| 作者姓名： | 李曦 袁达明 |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(Nos.11261040 and 11326046);the Science Foundation of Jiangxi Province(No.CA201207062);the Youth Fund of Department of Education of Jiangxi Province(No.GJJ13486);the Doctoral Foundation of Nanchang Hangkong University(No.EA201107261);the Graduate Innovation Foundation of Nanchang Hangkong University(No.YC2011031) |
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| 摘 要： |
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Asymptotic approximation method for elliptic variational inequality of first kind |
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| Xi Li,Da-ming Yuan. Asymptotic approximation method for elliptic variational inequality of first kind[J]. Applied Mathematics and Mechanics(English Edition), 2014, 35(3): 381-390. DOI: 10.1007/s10483-014-1798-x |
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| Authors: | Xi Li Da-ming Yuan |
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| Affiliation: | 1. College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, 330063, P.R. China
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| Abstract: | An asymptotic approximation method is proposed to solve a particular elliptic variational inequality of first kind associated with unilateral obstacle problems. In this method, the free boundary is first captured, and then the method of the fundamental solution (MFS) is used to find the solution of the Dirichlet problem for Laplace’s equation in the non-coincidence set. Numerical examples are given to show the efficiency of the method. |
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| Keywords: | free boundary variational inequality obstacle problem method of fundamental solution(MFS) asymptotic approximation method |
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