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NTu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.