关于非奇异边界积分方法

本文用把源点移到所研究问题区域以外的边界积分方法——非奇异边界积分法进行数值积分。这种方法克服了通常边界元法中的奇异数值积分的困难;同时对于边界法线不连续的角点也不须作特殊处理。最后计算结果表明:本文所提出的非奇异边界积分的计算结果与经过特殊处理的奇异积分的计算结果具有同样的精度。

On a Nonsingular Boundary Integral Method in Reissner''s Plate Theory

In this paper, a boundary numerical integral method is employed in which the source points of the fundamental solution has been moved outside the domain of the problem studied. We call this method as the nonsingular boundary integral method, which may avoid some inherent difficulties of the conventional boundary element method, such as the need for the accurate evaluation of singular integrals and the need for the special treatment of corners where the boundary normals are discontinuous. The numerical results obtained in this paper show that the suggested nonsingular boundary integral has the same accuracy as that of the singular boundary integral.