Year: 2002
Author: Huo-Yuan Duan
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 1 : pp. 57–64
Abstract
This paper is devoted to the development of a new stabilized finite element method for solving the advection-diffusion equations having the form $-\kappa\Delta u+\underline{a}\bullet\underline{\nabla}u+\sigma u=f$ with a zero Dirichlet boundary condition. We show that this methodology is coercive and has a uniformly optimal convergence result for all mesh-Peclet number.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JCM-8898
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 1 : pp. 57–64
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Advection-diffusion equation Stabilized finite element method.