无奇异性边界积分方程法

边界元法中如何有效地处理奇异积分,一直是人们极为关心的课题。本文提出了建立由“线源”产生的边界积分方程,其优点是可任意阶地降低奇异性阶次。计算实例表明,本文所提出的方法优于常规的边界元法。尤其是提高了位移的计算精度。对边界单元网格不等长划分,更显示出该法的优越性。

A NEW BOUNDARY INTEGRAL FORMULATION WITH NO SINGULARITY

The paper presents how the higher order singularity of a boundary integral equation can be reduced. The approach will be discussed in some detail with the plane elasticity. Numerical results for the meshes of unequal length boundary elements are reported. Higher precision both for deflection and force is obtained than that for general boundary element method.The paper presents how the higher order singularity of a boundary integral equation can be reduced. The approach will be discussed in some detail with the plane elasticity. Numerical results for the meshes of unequal length boundary elements are reported. Higher precision both for deflection and force is obtained than that for general boundary element method.