full
search.png

Search

close.png

Cancel

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

Hans-Görg Roos

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

Published online: 2009-04

Preview Full PDF 2604 25275

Cited by

google scholar semantic scholar
Export citation
  • 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

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-27-266, author = {Hans-Görg Roos}, 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 AU - Hans-Görg Roos 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, Convection-diffusion, Finite element method, Stabilization, Layer-adapted mesh, Superconvergence, 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. (2009). Stabilized FEM for Convection-Diffusion Problems on Layer-Adapted Meshes. Journal of Computational Mathematics. 27 (2-3). 266-279. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard