线性对流占优扩散方程的扩展特征混合有限元法

本文针对线性对流占优扩散方程提出了一种新型数值模拟方法一扩展特征混合有限元法，即对对流部分沿特征线方向离散，而对扩散部分采用扩展混合有限元方法，同时高精度逼近未知函数，未知函数的梯度及伴随向量函数，通过严格的数值分析，得到其最优L^2模误差估计。

Expanded Characteristics-mixed Finite Element Method for the Linear Convection-dominated Diffusion Problem

In this paper,a new numerical method called the expanded characteristic mixed finite element method is put forward against the linearcon vection-dominated diffusion equation.It is a combination of characteristic appro ximation to handle the convection part in time and an expanded mixed finite element approximation to deal with the diffusion part and at the same time three variables are explicitly treated:the scalar unknown,its gradient,and its flux optim ally and simultaneously.We get the optimal L2 error e...