非定常的热传导-对流问题的非线性Galerkin混合元法(Ⅲ):时间二阶精度的全离散格式

In this paper, a fully discrete format of nonlinear Galerkin mixed element method with two-step discretization of time for the non stationary conduction-convection problems is presented. The existence and the convergence of the fully discrete mixed element solution are shown. On the basis of [9] and [10], we have proved that the schemes have second-order convergence accuracy for the time discretization.     

热传导-对流问题的回溯二重水平法

该文给出定常的热传导-对流问题的有限元逼近的一种二重水平方法. 这种二重水平方法包括解一个小的非线性的粗网格系统、一个细网格上的线性Oseen问题和一个粗网格上的线性校正问题. 同时,给出了这种近似解的存在性和收敛性分析.