伪双曲型积分-微分方程的双线性元高精度分析

摘要

讨论一类伪双曲型积分-微分方程的有限元逼近,借助于双线性元的高精度分析和导数转移技巧,给出了在半离散和全离散格式下的超逼近和超收敛结果.%A finite element approximation for the integro-differential equations of pseudo-hyperbolic type is discussed in this paper. With the help of high accuracy analysis of the bilinear elements and derivative delivery techniques, the corresponding super-close and super-convergence results are obtained of the semi-discrete and fully-discrete approximate scheme.