Title: Equivalent boundary integral equations for plane Poisson's exterior boundary value problems
Abstract: The solution of conventional boundary integral equations (CBIEs) sometimes does not exist or is not unique, which has been demonstrated in a large number of numerical experiments. According to the authors' opinion, there exist two reasons which can lead to this phenomenon. One reason is that the solution of the CBIEs can not describe the behavior of the solution of the corresponding boundary value problem at infinity accurately; the other one is that the form of exterior boundary value problem has deficiency, which is still a problem to be solved but has not attracted adequate attention. Many examples illustrate that CBIEs are not equivalent to the Poisson's exterior boundary value problem. In this paper, the equivalent boundary integral equations (EBIEs) for Poisson's exterior boundary value problems are established.
Publication Year: 2010
Publication Date: 2010-06-01
Language: en
Type: article
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