The effect of numerical integration in finite element methods for nonlinear parabolic equations

被引：0

作者：

Germain N. ^{[1
]}

机构：

[1] Dept. of Math., Shandong Univ., Jinan

来源：

Applied Mathematics-A Journal of Chinese Universities | 2001年 / 16卷 / 2期

关键词：

Elliptic projection; Error estimates; Finite element; Quadrature scheme;

D O I：

10.1007/s11766-001-0029-8

中图分类号：

学科分类号：

摘要：

The effect of numerical integration in finite element methods applied to a class of nonlinear parabolic equations is considered and some sufficient conditions on the quadrature scheme to ensure that the order of convergence is unaltered in the presence of numerical integration are given. Optimal Lz and H: estimates for the error and its time derivative are established. © 2001, Springer Verlag. All rights reserved.

引用

页码：219 / 230

页数：11

共 8 条

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