An implicit-explicit Runge-Kutta discontinuous Galerkin method for advection-diffusion equations
四川大学学报. 自然科学版In this paper， an implicit-explicit Runge-Kutta discontinuous Galerkin method is proposed for the advection-diffusion equation.In the method， a two-stage Runge-Kutta scheme is employed for the temporal discretization， a discontinuous Galerkin method is ...
QING Shuwen, WANG Lu, FENG Minfu
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The Dual Characteristic-Galerkin Method
Comptes Rendus. MathématiqueThe Dual Characteristic-Galerkin method (DCGM) is conservative, precise and experimentally positive. We present the method and prove convergence and $L^2$-stability in the case of Neumann boundary conditions. In a 2D numerical finite element setting (FEM)
Hecht, Frédéric, Pironneau, Olivier
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Rellich-type Discrete Compactness for Some Discontinuous Galerkin FEM [PDF]
We deduce discrete compactness of Rellich type for some discontinuous Galerkin finite element methods (DGFEM) including hybrid ones, under fairly general settings on the triangulations and the finite element spaces.
KIKUCHI, Fumio
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A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]
Sci Rep, 2023 Jaśkowiec J, Pamin J.
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Kernel-based active subspaces with application to computational fluid dynamics parametric problems using the discontinuous Galerkin method. [PDF]
Int J Numer Methods Eng, 2022 Romor F, Tezzele M, Lario A, Rozza G.
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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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Derivation of an adjoint consistent discontinuous Galerkin discretization of the compressible Euler equations [PDF]
, 2006 Adjoint consistency - in addition to consistency - is the key requirement for discontinuous Galerkin (DG) discretizations to be of optimal order in L2 as well as measured in terms of target functionals.
Hartmann, Ralf
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The discontinuous Galerkin method for the numerical simulation of compressible viscous flow
EPJ Web of Conferences, 2014 In this paper we deal with numerical simulation of the compressible viscous flow. The mathematical model of flow is represented by the system of non-stationary compressible Navier-Stokes equations.
Česenek Jan
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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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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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