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边界元法中线性方程组的拟波阵分块求解
引用本文:曹平,陈爱华.边界元法中线性方程组的拟波阵分块求解[J].计算力学学报,1999,16(1):41-46.
作者姓名:曹平  陈爱华
作者单位:中南工业大学岩土力学与工程研究所,长沙,410083
基金项目:国家教委优秀年轻教师基金
摘    要:以边界单元法形成的线性方程组为例提出了一种分块求解具有非线称满系数矩阵方程组的拟波阵方法。这种在于高斯消去法基本原理的分块求解法,采用了拟波阵求解技术,使常驻计算机内存的仅为二行分块的系数子矩阵。

关 键 词:线性方程组  分块求解  边界单元法  拟波阵

A quasi frontal solution method with block elimination for algebraic equation system in boundary element method
Cao Ping,Chen Aihua.A quasi frontal solution method with block elimination for algebraic equation system in boundary element method[J].Chinese Journal of Computational Mechanics,1999,16(1):41-46.
Authors:Cao Ping  Chen Aihua
Abstract:A quasi frontal method with block elimination has been described for the solution of equation system encountered in boundary element method in this paper. In this method, the elimination of submatrices, which are immediately formed in boundary element method, is designed according to the principle of Gaussian method. The advantage of this disk based solution method is that only two rows of submatrices is in working area of computer and at most a half of whole coefficient matrix needs to be stored in a determined record device. As a major result of the solution on block eliminations, much larger problems can be ready solved in a computer with small sized capacity of memory.
Keywords:algebraic equation system  block elimination  boundary element method  quasi frontal method  
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