Sobolev方程的H^1-Galerkin混合有限元方法

An H^1-Galerkin Mixed Finite Element Method for Sobolev Equations

利用H^1-Galerkin混合有限元方法分析了一维线性Sobolev方程,得到了未知函数和它的伴随向量函数有限元解的最优阶误差估计,该方法的优点是不需验证相容性条件即可得到和传统混合有限元方法相同的收敛阶数.

H^1-Galerkin mixed finite element methods are analysed for solving Sobolev equations. Optimal order error estimates are derived for the finite element solutions of the unknown functions and its gradients in one dimension. The advantage of this method is that the approximations have the same rate convergence as in the classical mixed finite element methods without the LBB consistency conditions.