非线性抛物型方程有限元法数值积分的有效性

• 作 者: 哲曼
• 机 构: Dept. of Math., Shandong Univ.,
• 出 处: 高校应用数学学报B辑
• 发表日期: 2001年2期
• 关键词: 非线性抛物型方程 有限元法 数值积分 NUMERICAL INTEGRATION METHODS FOR numerical integration nonli

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 L2 and H1 estimates for the error and its time derivative are established.