半线性对流占优Sobolev方程的H^1-Galerkin混合有限元方法

H^1-Galerkin Mixed Finite Element Method for Semilinear Convection-dominated Sobolev Equation

利用H1-Galerkin混合有限元方法研究了一维半线性对流占优Sobolev方程,得到了半离散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。

H1-Galerkin mixed finite element methods are used for semi linear convection-dominated 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.