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JSCIC
2010
150views more  JSCIC 2010»
13 years 2 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
SIAMSC
2011
112views more  SIAMSC 2011»
13 years 2 months ago
A Discontinuous Galerkin Solver for Front Propagation
We propose a new discontinuous Galerkin (DG) method based on [9] to solve a class of Hamilton-Jacobi equations that arises from optimal control problems. These equations are connec...
Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu
SIAMSC
2010
130views more  SIAMSC 2010»
13 years 5 months ago
Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation
The radiative transfer equation (RTE) occurs in a wide variety of applications. In this paper, we study discrete-ordinate discontinuous Galerkin methods for solving the RTE. The nu...
Weimin Han, Jianguo Huang, Joseph A. Eichholz
SIAMNUM
2010
115views more  SIAMNUM 2010»
13 years 2 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
2007
132views more  JSCIC 2007»
13 years 7 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