discontinuous Galerkin finite elements
Discontinuous Galerkin Finite Element Methods for Photonic Crystals
... The finite element toolkit hpGEM [30] has been used to construct the matrices in the DG discretisation. It is a DGFEM package developed by the MACS chair at the University of Twente. It provides routines for mesh ...
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Numerical Solution of the Three Dimensional Time Harmonic Maxwell Equations by DG Method Coupled with an Integral Representation
... This concept was introduced by Lenoir and Jami in hydrodynamics in 1978 [26], then in 1996 by Lenoir and Hazard for the Maxwell’s equations by using nodal finite elements [19]. Liu and Jin presented very ...
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Numerical modelling of MPA CVD reactors with the discontinuous Galerkin finite element method
... lying finite element mesh such that there is a higher density of elements within the quartz window, near the gas inlet and outlet pipes, as well as in the vicinity of the substrate surface and microwave ...
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Discontinuous Galerkin Finite Element Methods for the time harmonic Maxwell equations in periodic media
... of finite elements discussed below are H(curl)-conforming, which means the global finite element space is a subspace of H(curl) if one would use a standard finite element setting (see [2] and ...
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hp version discontinuous Galerkin methods for advection diffusion reaction problems on polytopic meshes
... We present a series of computational examples to numerically investigate the asymptotic convergence be- haviour of the proposed IP DGFEM on general meshes consisting of polytopic elements. As in [21], the ...
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Comparison of high order algorithms in Aerosol and Aghora for compressible flows
... order finite element library based on both continuous and discontinuous elements on hybrid meshes involving triangles and quadrangles in two dimensions and tetrahedra, hexahedra and prisms in three ...
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A stabilized mixed discontinuous Galerkin method for the incompressible miscible displacement problem
... discrete finite element method with the stabilized mixed discontinuous Galerkin methods for the incompressible miscible displacement problem in porous ...stabilized, discontinuous ...
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Accurate Discontinuous Galerkin Finite Element Methods for Computing Light Propagation in Photonic Crystals
... ( π, 0 , 0) t , from ( π, 0 , 0) t to ( π, π, 0) t and from ( π, π, 0) t to ( π, π, π ) t . Due to the limited possibilities during this study, these expensive computations could be carried out for n being maximal two. n ...
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hp Adaptive discontinuous Galerkin methods for neutron transport criticality problems
... higher–order finite elements are employed in the angular domain, then groups of spatial elements become coupled, in which case a more sophisticated algorithm is needed to identify groups of ...
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Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains
... forming finite element methods, is to exploit general shaped element domains upon which elemental basis functions may only be locally piecewise ...neighbouring elements present within a standard ...
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Discontinuous Galerkin finite element approximation of nonlinear second order elliptic and hyperbolic systems
... quasi-linear elliptic and hyperbolic systems of partial differential equations, using piecewise polynomials of degree p > d/2 in the elliptic case and of degree p > d/2 + 1 in the (spatially semidiscrete) hyperbolic ...
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A discontinuous Galerkin finite element method for the Zakharov Kuznetsov equation
... Neumann analysis. Here we simply choose a CFL number by numerical experiments to make the scheme stable. All the computations were performed in double precision. We can see in Tables and that the method with Q k ...
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A Hybrid Reconstructed Discontinuous Galerkin and Continuous Galerkin Finite Element Method for Incompressible Flows on Unstructured Grids.
... with i, j, and, k as the three vertices of the triangular element. After the local elemental stiffness matrices have been computed, the assembly to the global stiffness matrix can be carried out. The global stiffness ...
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Automatic symbolic computation for discontinuous Galerkin finite element methods
... particular discontinuous Galerkin FEMs (DGFEMs) requires the im- plementation of inter-element flux terms, which involves combinations of both inner– and outer–traces of the FEM solution, relative to a ...
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Semi-implicit schemes for compressible fluids in elastic pipes and a-posteriori sub-cell finite volume limiting techniques for semi-implicit Discontinuous Galerkin schemes for hyperbolic conservation laws on staggered meshes
... RKDG scheme of arbitrary high-order of accuracy in space and third order of accuracy in time. The continuity equation is integrated over the elements that belong to the main grid, while the momentum equation is ...
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Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson
... Résumé. Au moyen d’une méthode de réduction décrite dans [10, 14, 22] nous construisons une approx- imation hyperbolique de l’équation de Vlasov dans laquelle la dépendance en vitesse est supprimée. La réduction repose ...
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Continuous and discontinuous Galerkin finite element methods of variational Boussinesq water-wave models
... This study is motivated by the fact, that opposite to the nonlinear shallow water equations, waves do not break (i.e. have discontinuous solutions developed from continuous initial so- lutions)) in traditional ...
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Numerical resolution of conservation laws with OpenCL
... a finite volume approach on a structured grid, a high order Discontinuous Galerkin (DG) method on an unstructured grid and a Particle-In-Cell (PIC) ...
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Numerical Methods for Compressible Multi-phase flows with Surface Tension
... order finite volume one is its ability to achieve sub-cell resolution even on coarse grids, the design of the dissipative mechanism is of great importance to maintain this ...
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Simulation of continuously deforming parabolic problems by Galerkin finite elements method
... results obtained by this scheme indicates that the method is stable and produces an accurate solutions for the heat conduction problems with phase change; even when large.. time steps us[r] ...
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