Uniform Convergence via Preconditioning
Global Science Press
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.
Vulanović, R. & Nhan, T.A. (2014). Uniform convergence via preconditioning. Int. J. Numer. Anal. Model. Ser. B., 5(4):347-356