Error analysis of a continuous-discontinuous Galerkin finite element method for generalized 2D vorticity dynamics [PDF]
, 2005 A detailed a priori error estimate is provided for a continuous-discontinuous Galerkin finite element method suitable for two-dimensional geophysical flows.
Bokhove, O. +2 more
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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
doaj +1 more source
Hybrid multigrid methods for high-order discontinuous Galerkin discretizations [PDF]
, 2020 Niklas Fehn +3 more
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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.
europepmc +1 more source
Multiphysics Simulation of Plasmonic Photoconductive Devices Using Discontinuous Galerkin Methods [PDF]
, 2020 Liang Chen, Hakan Bagci
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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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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.
europepmc +1 more source
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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Discontinuous Galerkin methods for hypersonic flows
Progress in Aerospace SciencesComment: 34 pages, 25 figures, and 1 ...
Dominique S. Hoskin +5 more
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