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JSCIC
2006
92views more  JSCIC 2006»
13 years 5 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
SIAMNUM
2010
115views more  SIAMNUM 2010»
12 years 12 months ago
Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusi
In this paper, we study the superconvergence property for the discontinuous Galerkin (DG) and the local discontinuous Galerkin (LDG) methods, for solving one-dimensional time depe...
Yingda Cheng, Chi-Wang Shu
JSCIC
2010
150views more  JSCIC 2010»
12 years 12 months ago
A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations
In this paper, a central discontinuous Galerkin method is proposed to solve for the viscosity solutions of Hamilton-Jacobi equations. Central discontinuous Galerkin methods were or...
Fengyan Li, Sergey Yakovlev
TAPIA
2005
ACM
13 years 10 months ago
Computation of nonclassical shocks using a spacetime discontinuous Galerkin method
We present a numerical study for two systems of conservation laws using a spacetime discontinuous Galerkin (SDG) method with causal spacetime triangulations and the piecewise cons...
Katarina Jegdic
JCAM
2010
116views more  JCAM 2010»
12 years 12 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