摘要
将试探函数空间取为相应于三角剖分的线性有限元空间，将检验函数空间取为相应于对偶剖分的分片常数函数空间，给出了二维抛物型积微分方程的的半离散、全离散广义差分格式。
おァ eneralized difference methods for the parabolic integro-differential equations are given.The trial subspace is taken as usual piecewise linear finite element space over triangulation,and the test subspace is defined as piecewise constant space over dual subdivision.The optimal order of convergence is established.
出处
《山东大学学报（自然科学版）》
CSCD
1997年第4期387-396,共10页
Journal of Shandong University(Natural Science Edition)
基金
国家博士点基金
关键词
抛物型
积微分方程
广义差分格式
误差估计
parabolic integrodifferential equation,trial subspace,test subspace, generalized difference methods,optimal order of convergence
