Abstract: The singularity of the solution of variational inequalities with coeffi-cients that are discontinuous across the interface is investigated, a prior estimate is obtained. We also design a net shape of the finite elements around the singular points of the solution. By means of this net,we prove that the approximate solution has the same convergence rateas that without singularity.

Key words: variational inequality, singularity, finite element

摘要： 研究了一类间断系数变分不等式解的奇性，得到了解的先验估计。在解的奇点附近构造了一类有限元网格剖分，根据这种剖分，有限元解具有通常情形(即没有奇性时)的收敛速度。

关键词: 变分不等式, 奇性, 有限元