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Analysis Of The Truncation Error And Barrier-Function Technique For A Bakhvalov-Type Mesh, Thái Ahn Nhan, Relja Vulanović

Mathematics and Computer Science

We use a barrier-function technique to prove the parameter-uniform convergence for singularly perturbed convection-diffusion problems discretized on a Bakhvalov-type mesh. This is the first proof of this kind in the research literature, the barrier-function approach having only been applied so far to Shishkin-type meshes.