A robust finite element method for singularly perturbedconvection-diffusion problems

Runchang Lin

doi:10.3934/proc.2009.2009.496

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2009, Volume 2009: 496-505. Doi: 10.3934/proc.2009.2009.496 open access

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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

Received: July 2008

Revised: June 2009

Published: August 2009

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Abstract

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.

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Mathematics Subject Classification: Primary: 65L10, 65L60; Secondary: 65L07.

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

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