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2008•Journal of Wenzhou UniversityRequires access

Application of the Optimized Numerical Technology in the Fast Fast Multipole Boundary Element Method

Jianping Liu

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Abstract

Fast multipole boundary element method is the new numerical algorithm of boundary element method that develops in recent years.The key and difficulty of the multipole boundary element method is to find the solutions of the large-scale sparse matrix system of equations.This paper introduces the optimized numerical technology to solve the problem perfectly,tests the method through numerical experiments and finds out that this method can save time of finding solutions,which sets foundations for the solving of large-scale questions.

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What this paper is about

Fast multipole boundary element method is the new numerical algorithm of boundary element method that develops in recent years.The key and difficulty of the multipole boundary element method is to find the solutions of the large-scale sparse matrix system of equations.This paper introduces the optimized numerical technology to solve the problem perfectly,tests the method through numerical experiments and finds out that this method can save time of finding solutions,which sets foundations for the solving of large-scale questions.

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Available abstract

Fast multipole boundary element method is the new numerical algorithm of boundary element method that develops in recent years.The key and difficulty of the multipole boundary element method is to find the solutions of the large-scale sparse matrix system of equations.This paper introduces the optimized numerical technology to solve the problem perfectly,tests the method through numerical experiments and finds out that this method can save time of finding solutions,which sets foundations for the solving of large-scale questions.

Key concepts: Boundary element method, Fast multipole method, Multipole expansion, Boundary knot method, Singular boundary method, Method of fundamental solutions, Boundary (topology), Numerical analysis

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