摘要
研究了强阻尼波动方程的H^1-Galerkin混合有限元方法的超收敛性.借助于协调线性三角形元已有的分析估计式,直接利用插值算子代替原始变量u的Ritz投影和应力变量p的Ritz-Volterra投影,对半离散和全离散格式,得到了u在H^1(Ω)模和p在H(div;Ω)模意义下比以往文献高一阶的超逼近和超收敛结果.
In this paper, the superconvergence analysis of H^1-Galerkin mixed finite element method for strongly damped wave equations is studied. By virtue of the technique of interpolation operator instead of Ritz projection of the original variable u and Ritz-Volterra projection of the stress variable p, the superclose and superconvergence results in H^1 （Ω） norm for u and H（div; Ω） norm for p for both semidiscrete and fully discrete schemes are derived through applying some error estimates of conforming linear triangular finite element.
出处
《计算数学》
CSCD
北大核心
2012年第3期317-328,共12页
Mathematica Numerica Sinica
基金
国家自然科学基金项目(10971203
11101384)
高等学校博士学科点专项科研基金项目(20094101110006)资助课题
