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JSCIC
2010
150views more  JSCIC 2010»
15 years 17 days 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»
15 years 22 days 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»
15 years 4 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»
15 years 15 days 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»
15 years 5 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