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Jung, Chang-Yeol
Analysis and computational methods Lab
Research Interests
  • Analysis, singular perturbations, uncertainty, numerical methods

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Numerical approximation of two-dimensional convection-diffusion equations with multiple boundary layers

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Title
Numerical approximation of two-dimensional convection-diffusion equations with multiple boundary layers
Author
Jung, Chang-YeolTemam, Roger
Keywords
boundary layers; finite elements; singularly perturbed problem; convection-diffusion
Issue Date
2005-03
Publisher
ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
Citation
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, v.2, no.4, pp.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.
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ISSN
1705-5105
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PHY_Journal Papers
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