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Discontinuous Galerkin Methods
2008In this article, we describe some simple and commonly used discontinuous Galerkin methods for elliptic, Stokes and convection-diffusion problems. We illustrate these methods by numerical experiments.
Vivette Girault, Mary F. Wheeler
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On discontinuous Galerkin methods
International Journal for Numerical Methods in Engineering, 2003AbstractDiscontinuous Galerkin methods have received considerable attention in recent years for problems in which advection and diffusion terms are present. Several alternatives for treating the diffusion and advective fluxes have been introduced. This report summarizes some of the methods that have been proposed.Several numerical examples are included
Zienkiewicz, OC +3 more
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A discontinuous Galerkin method¶for the plate equation
Calcolo, 2002The authors consider the plate problem using a discontinuous Galerkin method. Their main aim is to derive optimal a priori error estimates in various norms and investigate locking phenomena when certain stabilization parameters tend to infinity. The relations of the method to the nonconforming Morley element and to \(C^1\) Argyris element are briefly ...
Hansbo, P., Larson, M. G.
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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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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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A Discontinuous Galerkin Method for Stochastic Conservation Laws
SIAM Journal on Scientific Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yunzhang Li, Chi-Wang Shu, Shanjian Tang
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The Discontinuous Galerkin Method: Derivation and Properties
2021This text introduces to the main ingredients of the discontinuous Galerkin method, combining the framework of high-order finite element methods with Riemann solvers for the information exchange between the elements. The concepts are explained by the example of linear transport and convergence is evaluated in one, two, and three space dimensions ...
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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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