线性Sobolev方程的半离散H^1-Galerkin混合有限元分析

SEMIDISCRETE H^(-1)-GALERKIN MIXED FINITE ELEMENT ANALYSIS FOR A LINEAR SOBOLEV EQUATION

给出了线性Sobolev方程初边值问题的半离散H1-Galerkin混合有限元格式.通过误差分析,得到了未知函数的L2模和梯度函数的散度空间模的最优阶误差估计.

A semi-discrete H -1 -Galerkin mixed finite element method for a linear Sobolev equation is given,and L 2 optimal error estimates for the unknown function and its gradient in H(div,Ω)-norm are obtained.