Uniform Convergence via Preconditioning

Document Type

Article

Publication Date

5-2014

Publisher

Global Science Press

Abstract

The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on the Shishkin mesh is analyzed. A new, conceptually simple proof of pointwise convergence uniform in the perturbation parameter is provided. The proof is based on the preconditioning of the discrete system.

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