边界元法中线性方程组的拟波阵分块求解

A quasi frontal solution method with block elimination for algebraic equation system in boundary element method

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对称满系数矩阵方程组的拟波阵方法。这种基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，运算过程中存于外部设备的临时数据的最大量仅为全部系数矩阵元素的二分之一，从而大大地扩展各类计算机的解题规模。

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.