三维弹性接触问题边界元法的一种误差直接估计

A Direct Error Estimation of BEM for 3D Elastic Contact Problem

将作者研究组关于二维边界元法误差直接估计的早期工作推广到三维弹性接触问题,提出了当域内点趋于边界时计算内点位移的极限的算法,并把接触面两边物体相应点的位移极限值之差的某种度量作为三维弹性接触问题边界元法误差的一种直接估计。给出的三维弹性接触问题的算例证明了这种直接估计和相应的自适应计算方案的有效性。

An early work on direct error estimation of 2D BEM for elasticity problem is extended to 3D elastic contact problem in this paper. An algorithm for computing the limit of inner displacement as the point approaches boundary from the internal point of the domain is presented. Based on the difference between the corresponding limit of displacement from both side of contacted bodies, a direct error estimator of BEM solution for 3D elastic contact problem is presented. Numerical examples are given to show the effectiveness of such direct error estimation and the corresponding adaptive scheme.