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Discontinuous Galerkin Methods
2012In this final chapter we present the discontinuous Galerkin (dG) method. This method is based on finite element spaces that consist of discontinuous piecewise polynomials defined on a partition of the computational domain. Such methods are very flexible, for example, since they allow construction of more general methods and since they allow for simple ...
Mats G. Larson, Fredrik Bengzon
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Discontinuous Galerkin Methods
2018Two GDMs are obtained from the Discontinuous Galerkin setting. The first one recovers the high order SIPG schemes in the case of linear problems, the second one, based on average jumps, leads to simpler computations.
Jérôme Droniou +4 more
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Mixed Plane Wave Discontinuous Galerkin Methods
2009In this paper, we extend the class of plane wave discontinuous Galerkin methods for the two-dimensional inhomogeneous Helmholtz equation presented in Gittelson, Hiptmair, and Perugia [2007]. More precisely, we consider the case of numerical fluxes defined in mixed form, namely, numerical fluxes explicitly defined in terms of both the primal and the ...
Perugia I, Hiptmair R
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Discontinuous Galerkin Methods in Nanophotonics
Advanced Photonics Congress, 2012A review of the current status of Discontinuous Galerkin methods and their applications in nano-photonics is provided and future directions in methodic developments and applications are discussed.
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Bubble stabilization of discontinuous Galerkin methods
Computer Methods in Applied Mechanics and Engineering, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ANTONIETTI, PAOLA FRANCESCA +2 more
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Hybridizable Discontinuous Galerkin Methods
2010We present an overview of recent developments of HDG methods for numerically solving partial differential equations in fluid mechanics.
N. C. Nguyen, J. Peraire, B. Cockburn
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Discontinuous Galerkin methods for non-linear elasticity
International Journal for Numerical Methods in Engineering, 2006Summary: This paper presents the formulation and a partial analysis of a class of discontinuous Galerkin methods for quasistatic non-linear elasticity problems. These methods are endowed with several salient features. The equations that define the numerical scheme are the Euler-Lagrange equations of a one-field variational principle, a trait that ...
Eyck, A. Ten, Lew, A.
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The space-continuous–discontinuous Galerkin method
Computer Methods in Applied Mechanics and Engineering, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Discontinuous Galerkin Method
2014Accuracy preserving and nonoscillatory shock capturing technique is one of the bottlenecks in the development of discontinuous Galerkin method. In this chapter, a new limiter based on the secondary reconstruction and WENO approach in characteristic space is developed for the discontinuous Galerkin method.
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