Discontinuous Galerkin method

Known as: DG, DG method 
In applied mathematics, discontinuous Galerkin methods (DG methods) form a class of numerical methods for solving differential equations. They… (More)
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COOLFluiDFinite element methodFinite volume methodGalerkin method
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Highly Cited
2009
Highly Cited
2009
Nodal discontinuous Galerkin methods on graphics processors
Discontinuous Galerkin (DG) methods for the numerical solution of partial differential equations have enjoyed considerable… (More)
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Highly Cited
2007
Highly Cited
2007
TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II : General Framework
This is the second paper in a series in which we construct and analyze a class of TVB (total variation bounded) discontinuous… (More)
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Highly Cited
2004
Highly Cited
2004
Locally Divergence-Free Discontinuous Galerkin Methods for the Maxwell Equations
In this paper, we develop the locally divergence-free discontinuous Galerkin method for numerically solving the Maxwell equations… (More)
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Highly Cited
2003
Highly Cited
2003
A multilevel discontinuous Galerkin method
A variable V-cycle preconditioner for an interior penalty finite element discretization for elliptic problems is presented. An… (More)
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Highly Cited
2002
Highly Cited
2002
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows… (More)
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Highly Cited
2002
Highly Cited
2002
A Local Discontinuous Galerkin Method for KdV Type Equations
In this paper we develop a local discontinuous Galerkin method for solving KdV type equations containing third derivative terms… (More)
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Highly Cited
2000
Highly Cited
2000
An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
In this paper, we present the first a priori error analysis for the local discontinuous Galerkin (LDG) method for a model… (More)
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Highly Cited
1999
Highly Cited
1999
A Discontinuous Galerkin Finite Element Method for Hamilton-Jacobi Equations
In this paper, we present a discontinuous Galerkin finite clement method for solving the nonlinear Hamilton-Jacobi equations… (More)
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Highly Cited
1997
Highly Cited
1997
THE RUNGE-KUTTA DISCONTINUOUS GALERKIN METHOD FOR CONSERVATION LAWS V: MULTIDIMENSIONAL SYSTEMS
This is the flfth paper in a series in which we construct and study the so-called RungeKutta Discontinuous Galerkin method for… (More)
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Highly Cited
1997
Highly Cited
1997
THE LOCAL DISCONTINUOUS GALERKIN METHOD FOR TIME-DEPENDENT CONVECTION-DIFFUSION SYSTEMS
Abstract. In this paper, we study the local discontinuous Galerkin (LDG) methods for nonlinear, time-dependent convection… (More)
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