Year: 2014
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2014-IJNAM-526
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 2 : pp. 288–302
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Subgrid viscosity Lagrange-Galerkin finite elements convection-diffusion-reaction problems.