Results 241 to 250 of about 121,260 (302)
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Journal of Scientific Computing, 2017
We introduce a hybridizable discontinuous Galerkin method for the incompressible Navier–Stokes equations for which the approximate velocity field is pointwise divergence-free.
S. Rhebergen, G. N. Wells
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We introduce a hybridizable discontinuous Galerkin method for the incompressible Navier–Stokes equations for which the approximate velocity field is pointwise divergence-free.
S. Rhebergen, G. N. Wells
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Robust Implicit Direct Discontinuous Galerkin Method for Simulating the Compressible Turbulent Flows
AIAA Journal, 2019This paper proposes a robust and accurate implicit direct discontinuous Galerkin (DDG) method for simulating laminar and turbulent flows.
Yang Xiao-quan +3 more
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The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V
, 1998This is the fifth paper in a series in which we construct and study the so-called Runge?Kutta discontinuous Galerkin method for numerically solving hyperbolic conservation laws. In this paper, we extend the method to multidimensional nonlinear systems of
Bernardo Cockburn, Chi-Wang Shu
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Numerical Methods for Partial Differential Equations, 2019
In this paper, we derive a theoretical analysis of nonsymmetric interior penalty discontinuous Galerkin methods for solving the Cahn–Hilliard equation.
Chen Liu, F. Frank, B. Rivière
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In this paper, we derive a theoretical analysis of nonsymmetric interior penalty discontinuous Galerkin methods for solving the Cahn–Hilliard equation.
Chen Liu, F. Frank, B. Rivière
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Discontinuous Galerkin Methods in Nanophotonics [PDF]
Advanced Photonics Congress, 2012 A 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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An Adaptive Generalized Multiscale Discontinuous Galerkin Method for High-Contrast Flow Problems
Multiscale Modeling & simulation, 2018In this paper, we develop an adaptive generalized multiscale discontinuous Galerkin method (GMsDGM) for a class of high-contrast flow problems and derive a priori and a posteriori error estimates f...
Eric T. Chung, Y. Efendiev, W. Leung
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Discontinuous Galerkin Methods
2016This chapter is devoted to the construction, based on discrete energy control, of discontinuous Galerkin methods (DGM) which are well-adapted to the solution of wave problems. In a first part, these methods are described by using an abstract framework for first-order linear hyperbolic problems which covers, in particular, all the transient wave ...
Gary Cohen, Sébastien Pernet
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Galerkin and discontinuous Galerkin spectral/hp methods
Computer Methods in Applied Mechanics and Engineering, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Y. Du +4 more
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A Staggered Discontinuous Galerkin Method of Minimal Dimension on Quadrilateral and Polygonal Meshes
SIAM Journal on Scientific Computing, 2018In this paper, we first propose and analyze a locally conservative, lowest order staggered discontinuous Galerkin method of minimal dimension on general quadrilateral/polygonal meshes for elliptic ...
Lina Zhao, Eun‐Jae Park
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The Discontinuous Galerkin Method [PDF]
, 2014 Accuracy 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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