On the numerical modeling of convection-diffusion problems by finite element multigrid preconditioning methods

2014 ◽  
Vol 68 ◽  
pp. 56-69 ◽  
Author(s):  
Christos K. Filelis-Papadopoulos ◽  
George A. Gravvanis ◽  
Elias A. Lipitakis
Keyword(s):  
Finite Element ◽  
Numerical Modeling ◽  
Convection Diffusion ◽  
Diffusion Problems

scholarly journals Characteristics Weak Galerkin Finite Element Methods for Convection-Dominated Diffusion Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Ailing Zhu ◽  
Qiang Xu ◽  
Ziwen Jiang
Keyword(s):  
Finite Element ◽  
Optimal Order ◽  
Weak Galerkin ◽  
Order Error ◽  
Galerkin Finite Element ◽  
Convection Diffusion ◽  
Galerkin Finite Element Methods ◽  
Finite Element Procedure ◽  
Convection Dominated ◽  
Diffusion Problems

The weak Galerkin finite element method is combined with the method of characteristics to treat the convection-diffusion problems on the triangular mesh. The optimal order error estimates inH1andL2norms are derived for the corresponding characteristics weak Galerkin finite element procedure. Numerical tests are performed and reported.

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