Volume 27, Issue 2-3
Stabilized FEM for Convection-Diffusion Problems on Layer-Adapted Meshes

Hans-Görg Roos

DOI:

J. Comp. Math., 27 (2009), pp. 266-279.

Published online: 2009-04

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  • Abstract

The application of a standard Galerkin finite element method for convection-diffusion problems leads to oscillations in the discrete solution, therefore stabilization seems to be necessary. We discuss several recent stabilization methods, especially its combination with a Galerkin method on layer-adapted meshes. Supercloseness results obtained allow an improvement of the discrete solution using recovery techniques.

  • Keywords

Singular perturbations Convection-diffusion Finite element method Stabilization Layer-adapted mesh Superconvergence Recovery

  • AMS Subject Headings

65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-27-266, author = {}, title = {Stabilized FEM for Convection-Diffusion Problems on Layer-Adapted Meshes}, journal = {Journal of Computational Mathematics}, year = {2009}, volume = {27}, number = {2-3}, pages = {266--279}, abstract = {

The application of a standard Galerkin finite element method for convection-diffusion problems leads to oscillations in the discrete solution, therefore stabilization seems to be necessary. We discuss several recent stabilization methods, especially its combination with a Galerkin method on layer-adapted meshes. Supercloseness results obtained allow an improvement of the discrete solution using recovery techniques.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8572.html} }
TY - JOUR T1 - Stabilized FEM for Convection-Diffusion Problems on Layer-Adapted Meshes JO - Journal of Computational Mathematics VL - 2-3 SP - 266 EP - 279 PY - 2009 DA - 2009/04 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8572.html KW - Singular perturbations KW - Convection-diffusion KW - Finite element method KW - Stabilization KW - Layer-adapted mesh KW - Superconvergence KW - Recovery AB -

The application of a standard Galerkin finite element method for convection-diffusion problems leads to oscillations in the discrete solution, therefore stabilization seems to be necessary. We discuss several recent stabilization methods, especially its combination with a Galerkin method on layer-adapted meshes. Supercloseness results obtained allow an improvement of the discrete solution using recovery techniques.

Hans-Görg Roos. (2019). Stabilized FEM for Convection-Diffusion Problems on Layer-Adapted Meshes. Journal of Computational Mathematics. 27 (2-3). 266-279. doi:
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