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How accurate is the streamline-diffusion FEM inside characteristic (boundary and interior) layers?

Date
2004
Abstract
Two model two-dimensional singularly perturbed convection-diffusion problems are considered whose solutions may have characteristic boundary and interior layers. They are solved numerically by the streamline-diffusion finite element method using piecewise linear or bilinear elements. We investigate how accurate the computed solution is in characteristic-layer regions if anisotropic layer-adapted meshes are used. It is shown that the streamline-diffusion formulation may, in the maximum norm, imply only first-order accuracy in characteristic-layer regions. Numerical experiments are presented that support our theoretical predictions. (C) 2004 Elsevier B.V. All rights reserved.
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Description
peer-reviewed
Publisher
Elsevier
Citation
Computer Methods in Applied Mechanics and Engineering;45-47, pp. 4875-4889
Collections
Mathematics & Statistics
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ha_sdfem2.pdf
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Keywords
convection-diffusion, SDFEM, singular perturbation, parabolic boundary layer, interior layer, layer-adapted meshes
ULRR Identifiers
https://researchrepository.ul.ie/handle/10344/5771
 https://doi.org/10.34961/4159
Funding code
Funding Information
Russian Foundation for Basic Research
Sustainable Development Goals
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Type
Article
Rights
https://creativecommons.org/licenses/by-nc-sa/1.0/
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