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Volume 20, Issue 1
A New Stabilized Finite Element Method for Solving the Advection-Diffusion Equations

Huo-Yuan Duan

J. Comp. Math., 20 (2002), pp. 57-64.

Published online: 2002-02

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  • 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.

  • Keywords

Advection-diffusion equation, Stabilized finite element method.

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-57, author = {Duan , Huo-Yuan}, title = {A New Stabilized Finite Element Method for Solving the Advection-Diffusion Equations}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {1}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8898.html} }
TY - JOUR T1 - A New Stabilized Finite Element Method for Solving the Advection-Diffusion Equations AU - Duan , Huo-Yuan JO - Journal of Computational Mathematics VL - 1 SP - 57 EP - 64 PY - 2002 DA - 2002/02 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8898.html KW - Advection-diffusion equation, Stabilized finite element method. AB -

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.

Duan , Huo-Yuan. (2002). A New Stabilized Finite Element Method for Solving the Advection-Diffusion Equations. Journal of Computational Mathematics. 20 (1). 57-64. doi:
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