Some a posteriori error estimates of the finite-difference streamline-diffusion method for convection-dominated diffusion equations

摘要

In this paper, some a posteriori error estimates of the finite-difference streamline-diffusion method for one- and two-dimensional time-dependent convection-dominated diffusion equations are presented, which can be used to reasonably adjust space mesh. Numerical results show that this method of local refinement is feasible and effective.