We consider the numerical approximation of singularly perturbed problems, and in particular reaction-di usion problems, by the h version of the nite element method. We present guidelines on how to design non-uniform meshes both in one and two dimensions, that are asymptotically optimal as the meshwidth tends to zero. We also present the results of numerical… (More)

`hp FEM for reaction-di usion equations. I: robust ex- ponential convergence

C. Schwab, J. M. Melenk

SIAM J. Num. Anal.,

1998

1 Excerpt

Superconvergent approximation of singularly perturbed problems, Report No. 97-ZZ2, Department of Mathematics and Statistics, Texas Tech University, October