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A survey on artificial boundary method Dedicated to Professor Shi Zhong-Ci on the Occasion of his 80th Birthday

A survey on artificial boundary method

作     者:HAN HouDe WU XiaoNan 

作者机构:Department of Mathematical Sciences Tsinghua University Department of Mathematics Hong Kong Baptist University 

出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))

年 卷 期:2013年第56卷第12期

页      面:2439-2488页

核心收录:

学科分类:07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基  金:supported by National National Science Foundation of China(Grant No.10971116) FRG of Hong Kong Baptist University(Grant No.FRG1/11-12/051) 

主  题:artificial boundary method global artificial boundary condition local artificial boundary condi-tion discrete artificial boundary condition implicit artificial boundary condition nonlinear artificial boundarycondition 

摘      要:The artificial boundary method is one of the most popular and effective numerical methods tor solving partial differential equations on unbounded domains, with more than thirty years development. The artificiM boundary method has reached maturity in recent years. It has been applied to various problems in scientific and engineering computations, and the theoretical issues such as the convergence and error estimates of the artificial boundary method have been solved gradually. This paper reviews the development and discusses different forms of the artificial boundary method.

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