full
search.png

Search

close.png

Cancel

arrow
Volume 11, Issue 2
A Subgrid Viscosity Lagrange-Galerkin Method for Convection-Diffusion Problems

R. Bermejo, P. Galan del Sastre & L. Saavedra

Int. J. Numer. Anal. Mod., 11 (2014), pp. 288-302.

Published online: 2014-11

Preview Purchase PDF 1800 25717

Cited by

google scholar semantic scholar
Export citation
  • Abstract

We present and analyze a subgrid viscosity Lagrange-Galerkin method that combines the subgrid eddy viscosity method proposed in W. Layton, A connection between subgrid scale eddy viscosity and mixed methods. Appl. Math. Comp., 133: 147-157, 2002, and a conventional Lagrange-Galerkin method in the framework of $P_1\oplus$ cubic bubble finite elements. This results in an efficient and easy to implement stabilized method for convection dominated convection-diffusion-reaction problems. Numerical experiments support the numerical analysis results and show that the new method is more accurate than the conventional Lagrange-Galerkin one.

  • Keywords

Subgrid viscosity, Lagrange-Galerkin, finite elements, convection-diffusion-reaction problems.

  • AMS Subject Headings

65M12, 65M25, 65M60

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{IJNAM-11-288, author = {R. Bermejo, P. Galan del Sastre and L. Saavedra}, title = {A Subgrid Viscosity Lagrange-Galerkin Method for Convection-Diffusion Problems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2014}, volume = {11}, number = {2}, pages = {288--302}, abstract = {

We present and analyze a subgrid viscosity Lagrange-Galerkin method that combines the subgrid eddy viscosity method proposed in W. Layton, A connection between subgrid scale eddy viscosity and mixed methods. Appl. Math. Comp., 133: 147-157, 2002, and a conventional Lagrange-Galerkin method in the framework of $P_1\oplus$ cubic bubble finite elements. This results in an efficient and easy to implement stabilized method for convection dominated convection-diffusion-reaction problems. Numerical experiments support the numerical analysis results and show that the new method is more accurate than the conventional Lagrange-Galerkin one.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/526.html} }
TY - JOUR T1 - A Subgrid Viscosity Lagrange-Galerkin Method for Convection-Diffusion Problems AU - R. Bermejo, P. Galan del Sastre & L. Saavedra JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 288 EP - 302 PY - 2014 DA - 2014/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/526.html KW - Subgrid viscosity, Lagrange-Galerkin, finite elements, convection-diffusion-reaction problems. AB -

We present and analyze a subgrid viscosity Lagrange-Galerkin method that combines the subgrid eddy viscosity method proposed in W. Layton, A connection between subgrid scale eddy viscosity and mixed methods. Appl. Math. Comp., 133: 147-157, 2002, and a conventional Lagrange-Galerkin method in the framework of $P_1\oplus$ cubic bubble finite elements. This results in an efficient and easy to implement stabilized method for convection dominated convection-diffusion-reaction problems. Numerical experiments support the numerical analysis results and show that the new method is more accurate than the conventional Lagrange-Galerkin one.

R. Bermejo, P. Galan del Sastre and L. Saavedra. (2014). A Subgrid Viscosity Lagrange-Galerkin Method for Convection-Diffusion Problems. International Journal of Numerical Analysis and Modeling. 11 (2). 288-302. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard