半线性Sobolev方程的H^1-Galerkin混合有限元方法

H^1-Galerkin Mixed Finite Elemen Method for Semilinear Sobolev Equation

利用H^1-Galerkin混合有限元方法研究了一维半线性Sobolev方程,得到了半离散解的最优阶误差估计,优点是不需验证LBB相容性条件.

H^1-Galerkin mixed finite element methods are studied for semilinear sobolev equations. Optimal order error estimates are obtained for the semi-discrete solutions. The main feature 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.