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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Highly Cited
2009
Highly Cited
2009
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
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
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 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
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
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
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
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
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
Abstract. In this paper, we study the local discontinuous Galerkin (LDG) methods for nonlinear, time-dependent convection… (More)
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