Title

Analysis of a dg method for singularly perturbed convection-diffusion problems

Document Type

Article

Publication Title

Journal of Applied Analysis and Computation

Abstract

�In this article, we studied a discontinuous Galerkin finite element method for convection-diffusion-reaction problems with singular perturbation. Our approach is highly flexible by allowing the use of discontinuous approxi-mating function on polytopal mesh without imposing extra conditions on the convection coefficient. A priori error estimate is devised in a suitable energy norm on general polytopal mesh. Numerical examples are provided.

First Page

830

Last Page

841

DOI

10.11948/20180164

Publication Date

1-1-2020

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