摘要
考虑数值积分对非线性抛物型积分微分方程有限元方法的影响 ,给出了收敛阶不变的充分条件 ,导出误差的最优L2 模估计 .
We Study the effect of numerical integration in Finite Element methods for nonlinear parabolic integrodifferential equations and give some sufficient conditions to ensure that the order of convergence is unaltered in the presence of numerical integration.Optimal L 2-error estimates are derived.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2001年第1期31-41,共11页
Journal of Shandong University(Natural Science)
关键词
有限元
抛物型积分微分方程
数值求积公式
椭圆投影
finite element
parabolic integrodifferential equations
quadrature scheme
elliptic projection
error estimates
