对于线性对流占优扩散方程,采用特征线有限元方法离散时间导数项和对流项,用分片线性有限元离散空间扩散项,并给出了一致的后验误差估计,其中估计常数不依赖与扩散项系数。
We derive a posteriori error estimate for the convection dominated diffusion equations, The estimation constant is independent to the diffusion parameter. We discrete the time derivative and convection term via the method of characteristics and discrete diffusion term via continuous piecewise linear finite elements.