粘弹性方程的H^1-Galerkin混合有限元方法的误差

H^1-Galerkin Mixed Finite Element Method for Viscoelasticity Equation

利用H1-Galerkin混合有限元方法分析了线性粘弹性方程,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LBB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 method is used to analyze the Viscoelasticity equations. Optimal 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 approximation solutions have the same convergence rate as in the classical mixed finite element methods without the LBB consistency conditions.