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A New Runge-Kutta Discontinuous Galerkin Method with Conservation Constraint to Improve CFL Condition for Solving Conservation Laws. [PDF]

J Comput Phys, 2014
Xu Z, Chen XY, Liu Y.
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Application of reconstruction operators in the discontinuous galerkin method [PDF]

, 2012
This paper gives an overview of the main ingredients needed to incorporate reconstruction op- erators, as known from higher order finite volume (FV) and spectral volume (SV) schemes, into the discontinuous Galerkin (DG) method.
Kučera, Václav
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On 2D elliptic discontinuous Galerkin methods [PDF]

, 2006
Sherwin, SJ +4 more
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An Optimal Order Interior Penalty Discontinuous Galerkin Discretization of the Compressible Navier-Stokes Equations [PDF]

In this article we propose a new symmetric version of the interior penalty discontinuous Galerkin finite element method for the numerical approximation of the compressible Navier-Stokes equations.
Houston, Paul, Hartmann, Ralf
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A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems [PDF]

We propose a pre-processing mesh re-distribution algorithm based upon harmonic maps employed in conjunction with discontinuous Galerkin approximations of advection-diffusion-reaction problems.
Antonietti, Paola F., Houston, Paul
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Discontinuous galerkin spectral/hp element modelling of dispersive shallow water systems [PDF]