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MOC
2002
81views more  MOC 2002»
13 years 4 months ago
Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection--diffusion problem
We study the convergence properties of the hp-version of the local discontinuous Galerkin finite element method for convection-diffusion problems; we consider a model problem in a ...
Paul Castillo, Bernardo Cockburn, Dominik Schö...
SIAMNUM
2010
118views more  SIAMNUM 2010»
12 years 11 months ago
Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
Abstract. We study discontinuous Galerkin methods for solving elliptic variational inequalities, of both the first and second kinds. Analysis of numerous discontinuous Galerkin sch...
Fei Wang, Weimin Han, Xiao-Liang Cheng
JSCIC
2007
132views more  JSCIC 2007»
13 years 4 months ago
Minimal Stabilization for Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems
We consider a discontinuous Galerkin finite element method for the advection–reaction equation in two space–dimensions. For polynomial approximation spaces of degree greater t...
E. Burman, B. Stamm
JSCIC
2010
101views more  JSCIC 2010»
12 years 11 months ago
Boundary-Conforming Discontinuous Galerkin Methods via Extensions from Subdomains
A new way of devising numerical methods is introduced whose distinctive feature is the computation of a finite element approximation only in a polyhedral subdomain D of the origina...
Bernardo Cockburn, Deepa Gupta, Fernando Reitich
MOC
2010
12 years 11 months ago
A direct coupling of local discontinuous Galerkin and boundary element methods
The coupling of local discontinuous Galerkin (LDG) and boundary element methods (BEM), which has been developed recently to solve linear and nonlinear exterior transmission proble...
Gabriel N. Gatica, Norbert Heuer, Francisco-Javier...