Identifier: 2009-12
Author(s): F. Celiker and J. Guzman
Title: Analysis of high-order streamline diffusion methods on arbitrary grids and optimal convergence on layer adapted meshes
Page count: 23 pp.
Date: 2009-03-03
Abstract:
We study the streamline diffusion method for convection-diffusion problems in one dimension on arbitrary meshes. We prove a best approxima- tion result on arbitrary meshes. We use the best approximation result to prove optimal pointwise error estimates for high-order polynomial approximations on Shishkin and Bakhvalov type meshes.
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