边界元矩阵稀疏化算法及其应用

基于边界元矩阵的空间需求与求解域网格数的平方成正比，提出了边界元矩阵稀疏化方法.首先，根据边界元矩阵的特点定义了合适的稀疏准则，小于该准则的矩阵系数被合并到邻接单元对应的矩阵系数中；然后，将该系数取零，这样可以将一片相互邻接的单元系数合并到其中一个单元，从而达到矩阵稀疏化的目的.仿真结果表明，该方法在保证数值模拟精度的条件下，大幅削减了空间需求.

Research and Application of Sparse Algorithm of Boundary Element Matrix

A method was brought forward to make the matrix become sparser because the memory space of the boundary element matrix is in direct proportion to the square of mesh number. An appropriate rule of sparsity is defined according to the characteristic of boundary element matrix at first. The matrix coefficients which are less than certain limit value are united into the adjacent elements. Afterward the matrix coefficient was evaluated as zero. And the matrix coefficient of partial adjacent elements can be incorporated into certain element by using this method. Then the boundary element matrix becomes a sparse one. By using this method, the memory space is reduced observably while guaranteeing the numerical simulation accuracy through numerical simulation.