TY - JOUR
T1 - A Subgrid Viscosity Lagrange-Galerkin Method for Convection-Diffusion Problems
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 - <p style="text-align: justify;">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.</p>