A technique to prove parameter-uniform convergence for a singularly perturbed convection-diffusion equation

摘要

established. Regular exponential boundary layers can appear in the solution. These bounds on the solutions and its derivatives are obtained using a suitable decomposition of the solution into regular and layer components. By introducing extensions of the coefficients to a larger domain, artificial compatibility conditions are not imposed in the derivation of these decompositions. (c) 2006 Elsevier B.V. All rights reserved.