Solving Obstacle Problem Based on Potential-Reduction Interior Point Algorithm

This text studies a kind of obstacle problem. Combining with difference principle, we transform the original problem into monotone linear complementarity problem, and propose a novel method called potential-reduction interior point algorithm for monotone linear complementarity problem. We establish...

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Bibliographic Details
Published inApplied Mechanics and Materials Vol. 29-32; pp. 725 - 731
Main Author Yong, Long Quan
Format Journal Article
LanguageEnglish
Published Zurich Trans Tech Publications Ltd 01.08.2010
Subjects
Potential-Reduction Interior Point Algorithm
Monotone Linear Complementarity Problem
Obstacle Problem
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Summary:This text studies a kind of obstacle problem. Combining with difference principle, we transform the original problem into monotone linear complementarity problem, and propose a novel method called potential-reduction interior point algorithm for monotone linear complementarity problem. We establish global and finite convergence of the new method. The reliability and efficiency of the algorithm is demonstrated by the numerical experiments of standard linear complementarity problems and the examples of obstacle problem with free boundary.
Bibliography:Selected, peer reviewed papers from the 2010 International Conference On Applied Mechanics And Mechanical Engineering (ICAMME 2010), September 8 ~ 9, 2010, Changsha, China
ISBN:9780878492459
0878492453
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.29-32.725