부산대학교 도서관

In this paper the author considers the singularly perturbed problem $-\varepsilon \Delta u + b \cdot \nabla u + cu = f,$ in $\Omega \equiv (0,1)^2,$ and $u = 0 $ on $\partial \Omega.$ Here exponentially fitted finite element methods are constructed on uniform rectangular grids. Uniform error estimates, which are independent of the perturbation parameter $\varepsilon,$ are proved in the $L^2$-norm and $L^{\infty}$-norm for three classes of coefficient data. Numerical examples are presented to confirm the theoretical analyses.