Mixed finite element method for the convection-dominated diffusion problems with small parameterε

摘要

In this paper a mixed finite element method for the convection-dominated diffusion problems with small parameterεis presented, the effect of the parameterεon the approximation error is considered and a sufficient condition for optimal error estimates is derived. The paper al- so shows that under some conditions, the standard finite element method only gives a bounded solution, however, the mixed finite element method gives a convergent one.