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» A Multiscale Discontinuous Galerkin Method
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SIAMSC
2008
90views more  SIAMSC 2008»
13 years 7 months ago
Norm Preconditioners for Discontinuous Galerkin hp-Finite Element Methods
We consider a norm-preconditioning approach for the solution of discontinuous Galerkin finite element discretizations of second order PDE with non-negative characteristic form. In ...
Emmanuil H. Georgoulis, Daniel Loghin
JSCIC
2010
101views more  JSCIC 2010»
13 years 2 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
JCAM
2010
116views more  JCAM 2010»
13 years 2 months ago
A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods
A new approach to slope limiting for discontinuous Galerkin methods on arbitrary meshes is introduced. A local Taylor basis is employed to express the approximate solution in term...
Dmitri Kuzmin
MOC
2010
13 years 2 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...
JSCIC
2006
92views more  JSCIC 2006»
13 years 7 months ago
Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws
In this paper, a moving mesh discontinuous Galerkin (DG) method is developed to solve the nonlinear conservation laws. In the mesh adaptation part, two issues have received much a...
Ruo Li, Tao Tang