Title: Existence and Uniqueness Property of the Three-dimensional for Potential Problems Based on Fast Multipole-BEM
Abstract: Objective The Fast Multipole-boundary Element Method(FM-BEM) is the new algorithm of the Boundary Element Method(BEM).The basic theory knowledge of multipole expansion and the fast multipole boundary element method have been established,as well as the foundation of the multipole expansion method fusing with BEM form and the following to study multipole expansion BEM;with the discussion of the multipole expansion method's suitable scope,this method renews the traditional BEM theory and calculation structure,which is suitable for the problem of big scale operate project.Therefore,it is necessary to study existence and uniqueness property of the three-dimensional for potential problems based on Fast Multipole-Boundary Element Method.Methods The basic theory of Krylov Subspace Method;GMRES algorithm;the GMRES algorithm based on the Fast Multipole Method(FMM);FMM;the three-dimensional for potential problems based on Fast Multipole-BEM.Results The existence and uniqueness property of the three-dimensional Fast Multipole BEM for potential problems are obtained,and the relevant proof is given,and the mathematical theory of the FM-BEM for 3D potential problems can be completed.Conclusion The three-dimensional Fast Multipole BEM for potential problems is established primarily;the mathematical method of the three-dimensional FM-BEM is perfected.
Publication Year: 2008
Publication Date: 2008-01-01
Language: en
Type: article
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