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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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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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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On discontinuous Galerkin method and semiregular family of triangulations [PDF]
, 2006 summary:Discretization of second order elliptic partial differential equations by discontinuous Galerkin method often results in numerical schemes with penalties. In this paper we analyze these penalized schemes in the context of quite general triangular
Hájek, Jaroslav +12 more
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A discontinuous Galerkin method with fractal elements
CoRRWe formulate, analyse, and implement a discontinuous Galerkin finite element method (DG-FEM) for the approximation of the solution of an elliptic boundary value problem in a domain with fractal boundary. We consider the case of the Poisson equation in the Koch snowflake domain with zero Dirichlet boundary conditions, but our methodology can be ...
Sergio Gómez 0001 +2 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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On the Application of the Discontinuous Galerkin Method to Turbomachinery Flows
, 2012 This article describes the development of a Discontinuous Galerkin (DG) solver for 2D Euler flows with special emphasis on the implementation of robust and accurate boundary conditions for turbomachinary applications.
Ashcroft, Graham +2 more
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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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