Discontinuous Galerkin
A High Order Nodal Discontinuous Galerkin Method for 1D Morphodynamic Modelling
... In this paper we present a numerical solution of the sediment transport equations in one horizontal dimension, based on a discontinuous Galerkin finite-element method. The continuous equations are ...
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Clearance gap flow: simulations by discontinuous Galerkin method and experiments
... Abstract. Compressible viscous fluid flow in a narrow gap formed by two parallel plates in distance of 2 mm is investigated numerically and experimentally. Pneumatic and optical methods were used to obtain distribution of ...
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A comparison of polygonal discontinuous Galerkin methods
... While this introduces some error due to the approximation, the analysis shows that the impact is acceptable. On all criteria we see that VEM is preferable to PFEM. Its main advantage is that we expect VEM to be ...
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An unfitted discontinuous Galerkin scheme for conservation laws on evolving surfaces
... 2. Computational approach. Our approach is based on reformulating prob- lem (1.3) as a sequence of bulk advection problems with singular source and sink terms and applying the unfitted discontinuous ...
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Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows
... for discontinuous Galerkin finite element approximations of compress- ible fluid ...composite discontinuous Galerkin methods; this class of methods can easily handle general polygonal element ...
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hp Version discontinuous Galerkin methods on polygonal and polyhedral meshes
... the Discontinuous Galerkin Finite Element Method (DGFEM, for short) can be traced back almost half a century ago to the work undertaken on the weak enforcement of Dirichlet boundary conditions for ...
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hp Adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows
... adaptive discontinuous Galerkin finite element methods for the discretization of the bifurcation problem associated with the steady incompressible Navier–Stokes ...
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Automatic symbolic computation for discontinuous Galerkin finite element methods
... 3.3.1. Boundary Conditions. Firstly, we outline a simple framework for man- aging the boundary conditions enforced within a given PDE problem. We define the DGBC (discontinuous Galerkin boundary condition) ...
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Analysis and application of the discontinuous Galerkin method to the RLW equation
... In this work, our main purpose is to develop of a sufficiently robust, accurate and efficient numerical scheme for the solution of the regularized long wave (RLW) equation, an important partial differential equation with ...
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Goal oriented adaptive composite discontinuous Galerkin methods for incompressible flows
... In this article we consider the application of goal–oriented mesh adaptation to problems posed on complicated domains which may contain a huge num- ber of local geometrical features, or micro-structures. Here, we exploit ...
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Multiwavelet discontinuous Galerkin h-adaptive shallow water model
... the Discontinuous Galerkin (DG) method has emerged as a more thorough alternative for locally solving conservation laws of the shallow water equations with higher accuracy ...
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A hybridizable direct discontinuous Galerkin method for elliptic problems
... In the above derivation, we have given the discretization of the local problem when the trace value u ˆ is known. However, in general, the value of u ˆ is unknown. Therefore, we need additional conditions to overcome ...
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Simulation of the Lock Exchange Hydraulics using the Discontinuous Galerkin Method
... a discontinuous Galerkin finite element ...considered discontinuous Galerkin method is a stable, highly accurate and locally conservative finite element method whose approximate solutions are ...
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Development of Discontinuous Galerkin Method for 1-D Inviscid Burgers Equation
... work discontinuous Galerkin finite element scheme is based on the discrete equations, which are constructed by expressing the integral conservation law on a discrete set of ...the discontinuous ...
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A high-order Discontinuous Galerkin method for the seismic wave propagation
... Abstract. We are interested in the simulation of P-SV seismic wave propagation by a high-order Discontinuous Galerkin method based on centered fluxes at the interfaces combined with a leap-frog ...
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Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem
... hybrid discontinuous Galerkin appears as an appropriate strategy: on the one hand they provide the best compromise in terms of the number of degrees of freedom in between standard continuous and ...
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A local time-stepping Discontinuous Galerkin algorithm for the MHD system
... The Discontinuous Galerkin (DG) approximation technique is a generalization of the finite volume approach in order to achieve higher order. It is well suited to hyperbolic systems of conservation laws. Its ...
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hp Adaptive discontinuous Galerkin methods for neutron transport criticality problems
... In this article we consider the application of high-order/hp-version adaptive discontinuous Galerkin finite element methods DGFEMs for the discretization of the keff -eigenvalue problem [r] ...
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Compact and stable discontinuous Galerkin methods for convection diffusion problems
... [23] M. Feistauer and V. Kuˇ cera , A new technique for the numerical solution of the compressible Euler equations with arbitrary Mach numbers, in Hyperbolic Problems: Theory, Numerics and Applications, Proceedings of ...
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A discontinuous Galerkin finite element method for the Zakharov Kuznetsov equation
... cases. Few numerical methods have been proposed for solving the ZK equation. Xu and Shu [] discussed a local discontinuous Galerkin (LDG) method for the ZK equation, which is different from the DG method in ...
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