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QUASI-OPTIMAL CONVERGENCE RATE OF AN ADAPTIVE DISCONTINUOUS GALERKIN METHOD
Discontinuous Galerkin interior penalty nonconforming meshes
2015/12/11
We analyze an adaptive discontinuous finite element method (ADFEM) for symmetric
second order linear elliptic operators. The method is formulated on nonconforming meshes made
of simplices or q...
Connections between the filtered discontinuous Galerkin method and the flux reconstruction approach to high order discretizations
High order methods Discontinuous Galerkin Energy stability
2015/7/3
The purpose of this paper is to provide new insights on the connections that exist between the discontinuous Galerkin method (DG), the flux reconstruction method (FR) and the recently identi@...
Regional wave propagation using the discontinuous Galerkin method
Galerkin area had a continuous wave propagation unstructured tetrahedral mesh integration higher derivative simulate the high frequency wave field propagation distance
2015/1/5
We present an application of the discontinuous Galerkin (DG) method to regional wave propagation. The method makes use of unstructured tetrahedral meshes, combined with a time integration scheme solvi...
Discontinuous Galerkin Method for Total Variation Minimization on one-dimensional Inpainting Problem
finite element method discontinuous Galerkin method total variation minimization inpainting
2011/9/15
Abstract: This paper is concerned with the numerical minimization of energy functionals in $BV(\Omega)$ (the space of bounded variation functions) involving total variation for gray-scale 1-dimensiona...
Discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains
Discontinuous Galerkin method time-domain electromagnetics curvilinear domains
2010/9/21
Discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains.
A discontinuous Galerkin method for the Vlasov-Poisson system
Discontinuous Galerkin method Vlasov-Poisson system
2010/12/15
A discontinuous Galerkin method for approximating the Vlasov-Poisson system of equations describing the time evolution of a collisionless plasma is proposed. The method is mass conservative and, in th...
Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws
DG for hyperbolic conservation laws Moving Mesh Method
2012/7/31
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 attention. One is abo...