【摘要】 我们考虑二阶椭圆方程的第一边值问题及奇妙族矩形元。文[2,3,9]证明了有限元解的梯度在高斯点具有超收敛性。 本文假定椭圆方程的系数在有界区域Ω中曲线S上有第一类间断,在此意义下推广了文[2,3,9]。更多还原

【Abstract】 We consider the first boundary value problem of the second order elliptic equation and serendipity rectangular elements. Papers [2,3,9] proved that the gradients of finite element solution possess superconvergence at Gaussianpoint. In this paper, we extend the results in papers [2,3,9] in the sense that the coefficients of the elliptic equations are discontinuous on a curve S which lies in the bounded domain更多还原