论文部分内容阅读
域积分的处理一般需要在域内划分网格,从而将区域离散,这样做虽然没有加大未知量的个数,但却使边界元失去了不需要划分内部网格的优点。本文提出了一种处理区域积分的无网格算法,通过建立权函数,以及选择合理的区域覆盖的单位圆来计算域积分,该算法避免了点对点划分网格的弊端。数值算例表明了本文算法的有效性,所得的数值结果与精确解相当吻合。
The processing of domain integrals generally needs to divide the grids in the domain so as to disperse the regions. Although this method does not increase the number of unknowns, the boundary element loses the advantage of not needing to divide the internal grids. In this paper, we propose a meshless algorithm to deal with region integrals. The domain integrals are calculated by constructing the weighting function and choosing the unit circle with reasonable region coverage. This algorithm avoids the drawbacks of point-to-point meshing. Numerical examples show the effectiveness of the proposed algorithm. The numerical results obtained are in good agreement with the exact solutions.