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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
145views more  JSCIC 2010»
12 years 11 months ago
Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations
In this paper we present the continuous and discontinuous Galerkin methods in a unified setting for the numerical approximation of the transport dominated advection-reaction equati...
Erik Burman, Alfio Quarteroni, Benjamin Stamm
JSCIC
2008
134views more  JSCIC 2008»
13 years 4 months ago
Discontinuous Hamiltonian Finite Element Method for Linear Hyperbolic Systems
Abstract We develop a Hamiltonian discontinuous finite element discretization of a generalized Hamiltonian system for linear hyperbolic systems, which include the rotating shallow ...
Yan Xu, Jaap J. W. van der Vegt, Onno Bokhove
CORR
2008
Springer
90views Education» more  CORR 2008»
13 years 4 months ago
Spacetime Meshing for Discontinuous Galerkin Methods
Abstract. Spacetime-discontinuous Galerkin (SDG) finite element methods are used to solve hyperbolic spacetime partial differential equations (PDEs) to accurately model wave propag...
Shripad Thite
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...