scholarly journals The lowest order characteristic mixed finite element scheme for convection-dominated diffusion problem

2014 ◽  
Vol 68 (7) ◽  
pp. 759-769 ◽  
Author(s):  
Dongyang Shi ◽  
Xin Liao ◽  
Lele Wang
Keyword(s):  
Finite Element ◽  
Mixed Finite Element ◽  
Diffusion Problem ◽  
Finite Element Scheme ◽  
Element Scheme ◽  
Convection Dominated

scholarly journals A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Dongyang Shi ◽  
Qili Tang ◽  
Yadong Zhang
Keyword(s):  
Finite Element ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Auxiliary Variable ◽  
Diffusion Problem ◽  
Optimal Order ◽  
Order Error ◽  
Elliptic Projection ◽  
Indispensable Tool ◽  
Convection Dominated

A characteristic nonconforming mixed finite element method (MFEM) is proposed for the convection-dominated diffusion problem based on a new mixed variational formulation. The optimal order error estimates for both the original variableuand the auxiliary variableσwith respect to the space are obtained by employing some typical characters of the interpolation operator instead of the mixed (or expanded mixed) elliptic projection which is an indispensable tool in the traditional MFEM analysis. At last, we give some numerical results to confirm the theoretical analysis.

Sign in / Sign up

Export Citation Format

Share Document