Numerical methods for singularly perturbed elliptic problems containing two perturbation parameters

Abstract

A priori parameter explicit bounds on the derivatives of the solution of a two parameter singularly perturbed elliptic problem in two space dimensions are presented. These bounds are used to establish parameter uniform error bounds for a numerical method consisting of upwinding on a tensor product of two piecewise uniform meshes. First Published Online: 14 Oct 2010

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