Results 121 to 130 of about 8,904 (236)
A Discontinuous Galerkin Method for Two-Dimensional Shock Wave Modeling
Modelling and Simulation in Engineering, 2011 A numerical scheme based on discontinuous Galerkin method is proposed for the two-dimensional shallow water flows. The scheme is applied to model flows with shock waves. The form of shallow water equations that can eliminate numerical imbalance between
W. Lai, A. A. Khan
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The Time Discontinuous H1-Galerkin Mixed Finite Element Method for Linear Sobolev Equations
Discrete Dynamics in Nature and Society, 2015 We combine the H1-Galerkin mixed finite element method with the time discontinuous Galerkin method to approximate linear Sobolev equations. The advantages of these two methods are fully utilized.
Hong Yu, Tongjun Sun, Na Li
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A class of Petrov-Galerkin finite element methods for the numerical solution of the stationary convection-diffusion equation. [PDF]
, 1996 A class of Petrov-Galerkin finite element methods is proposed for the numerical solution of the n dimensional stationary convection-diffusion equation.
Perella, A.J., Perella, Andrew James
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Stability of ALE space-time discontinuous Galerkin method [PDF]
, 2017 summary:We assume the heat equation in a time dependent domain, where the evolution of the domain is described by a given mapping. The problem is discretized by the discontinuous Galerkin (DG) method in space as well as in time with the aid of Arbitrary ...
Vlasák, Miloslav +2 more
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Computer Assisted Methods in Engineering and Science, 2017 This paper deals with hp-type adaptation in the discontinuous Galerkin (DG) method. The DG method is formulated in this paper with a non-zero mesh skeleton width, which leads to a version of the method called in this paper the interface discontinuous ...
Jan Jaśkowiec
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Discontinuous Galerkin methods for hypersonic flows
Progress in Aerospace Sciences34 pages, 25 figures, and 1 ...
Dominique S. Hoskin +5 more
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Viscosity in discontinuous Galerkin methods [PDF]
PAMM, 2007 AbstractThe Discontinuous Galerkin (DG) discretisation technique proposes a higher order alternative to current state of the art Finite Volume (FV) methods of second order accuracy in space. DG features higher order on unstructured grids without reconstruction, highly local data access patterns and excellent parallelisation properties.
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An Online Generalized Multiscale Discontinuous Galerkin Method (GMsDGM) for Flows in Heterogeneous Media [PDF]
, 2017 Offline computation is an essential component in most multiscale model reduction techniques. However, there are multiscale problems in which offline procedure is insufficient to give accurate representations of solutions, due to the fact that offline ...
Efendiev, Yalchin R. +2 more
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Discontinuous Galerkin Methods for the Vlasov–Stokes System
Computational Methods in Applied MathematicsAbstract This paper develops and analyses a semi-discrete numerical method for the two-dimensional Vlasov–Stokes system with periodic boundary condition. The method is based on the coupling of the semi-discrete discontinuous Galerkin method for the Vlasov equation with discontinuous Galerkin scheme for the stationary incompressible ...
Harsha Hutridurga +2 more
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Discontinuous Galerkin Methods for 3D–1D Systems
SIAM Journal on Numerical AnalysisWe propose and analyze discontinuous Galerkin (dG) approximations to 3D-1D coupled systems which model diffusion in a 3D domain containing a small inclusion reduced to its 1D centerline. Convergence to weak solutions of a steady state problem is established via deriving a posteriori error estimates and bounds on residuals defined with suitable lift ...
Rami Masri +2 more
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