ANALYSIS OF A DG METHOD FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEMS | Zendy

Runchang Lin | Zendy; Xiu Ye | Zendy; Shangyou Zhang | Zendy; Peng Zhu | Zendy

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ANALYSIS OF A DG METHOD FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEMS

Author(s) -

Runchang Lin,

Xiu Ye,

Shangyou Zhang,

Peng Zhu

Publication year - 2020

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/20180164

Subject(s) - convection–diffusion equation , a priori and a posteriori , mathematics , convection , singular perturbation , finite element method , norm (philosophy) , galerkin method , perturbation (astronomy) , discontinuous galerkin method , mathematical analysis , mechanics , physics , thermodynamics , philosophy , epistemology , quantum mechanics , political science , law

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 approximating 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.

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