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Volume 2, Issue 4
Numerical Approximation of Two-Dimensional Convection-Diffusion Equations with Multiple Boundary Layers

C.-Y. Jung & R. Temam

Int. J. Numer. Anal. Mod., 2 (2005), pp. 367-408.

Published online: 2005-02

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  • Abstract

In this article, we demonstrate how one can improve the numerical solutions of singularly perturbed problems involving multiple boundary layers by using a combination of analytic and numerical tools. Incorporating the structures of boundary layers into finite element spaces can improve the accuracy of approximate solutions and result in significant simplifications. We discuss here convection-diffusion equations in the case where both ordinary and parabolic boundary layers are present.

  • Keywords

boundary layers, finite elements, singularly perturbed problem, convection-diffusion.

  • AMS Subject Headings

65N30, 34D15, 76N20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-2-367, author = {C.-Y. Jung and R. Temam}, title = {Numerical Approximation of Two-Dimensional Convection-Diffusion Equations with Multiple Boundary Layers}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2005}, volume = {2}, number = {4}, pages = {367--408}, abstract = {

In this article, we demonstrate how one can improve the numerical solutions of singularly perturbed problems involving multiple boundary layers by using a combination of analytic and numerical tools. Incorporating the structures of boundary layers into finite element spaces can improve the accuracy of approximate solutions and result in significant simplifications. We discuss here convection-diffusion equations in the case where both ordinary and parabolic boundary layers are present.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/937.html} }
TY - JOUR T1 - Numerical Approximation of Two-Dimensional Convection-Diffusion Equations with Multiple Boundary Layers AU - C.-Y. Jung & R. Temam JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 367 EP - 408 PY - 2005 DA - 2005/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/937.html KW - boundary layers, finite elements, singularly perturbed problem, convection-diffusion. AB -

In this article, we demonstrate how one can improve the numerical solutions of singularly perturbed problems involving multiple boundary layers by using a combination of analytic and numerical tools. Incorporating the structures of boundary layers into finite element spaces can improve the accuracy of approximate solutions and result in significant simplifications. We discuss here convection-diffusion equations in the case where both ordinary and parabolic boundary layers are present.

C.-Y. Jung and R. Temam. (2005). Numerical Approximation of Two-Dimensional Convection-Diffusion Equations with Multiple Boundary Layers. International Journal of Numerical Analysis and Modeling. 2 (4). 367-408. doi:
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