American Institute of Mathematical Sciences

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2009, 2009(Special): 496-505. doi: 10.3934/proc.2009.2009.496

A robust finite element method for singularly perturbed convection-diffusion problems

Runchang Lin 1,

1. 

Department of Mathematical and Physical Sciences, Texas A&M International University, Laredo, Texas, 78041-1900, United States

Received  July 2008 Revised  June 2009 Published  September 2009

In this paper, we consider a convection-diffusion boundary value problem with singular perturbation. A finite element method (FEM) is proposed based on discontinuous Galerkin (DG) discretization of least-squares variational formulation. Numerical tests on representative problems reveal that the method is robust and efficient.
Keywords: Finite element methods, singular perturbation problems, convection-diffusion problems, discontinuous Galerkin methods, least-squares methods.
Mathematics Subject Classification: Primary: 65L10, 65L60; Secondary: 65L07.
Citation: Runchang Lin. A robust finite element method for singularly perturbed convection-diffusion problems. Conference Publications, 2009, 2009 (Special) : 496-505. doi: 10.3934/proc.2009.2009.496
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