Paper Info
Title
Continuous-discontinuous finite element method for convection-diffusion problems with characteristic layers
Abstract
We study convergence properties of a numerical method for convection-diffusion problems with characteristic layers on a layer-adapted mesh. The method couples standard Galerkin with an h-version of the nonsymmetric discontinuous Galerkin finite element method with bilinear elements. In an associated norm, we derive the error estimate as well as the supercloseness result that are uniform in the perturbation parameter. Applying a post-processing operator for the discontinuous Galerkin method, we construct a new numerical solution with enhanced convergence properties.
Year
DOI
Venue
2009
10.1016/j.cam.2009.04.010
J. Computational Applied Mathematics
Keywords
Field
DocType
bilinear element,convergence property,numerical method,discontinuous galerkin method,finite element method,nonsymmetric discontinuous,associated norm,enhanced convergence property,convection-diffusion problem,new numerical solution,characteristic layer,continuous-discontinuous finite element method,method couples standard galerkin,post processing
Discontinuous Galerkin method,Convergence (routing),Convection–diffusion equation,Mathematical optimization,Mathematical analysis,Galerkin method,Extended finite element method,Finite element method,Numerical analysis,Mathematics,Bilinear interpolation
Journal
Volume
Issue
ISSN
231
2
0377-0427
Citations 
PageRank 
References 
2
0.39
3
Authors
1
Name
Order
Citations
PageRank
Helena Zarin1365.25