discontinuous Galerkin finite element method
Numerical modelling of MPA CVD reactors with the discontinuous Galerkin finite element method
... Nathan Sime Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK Abstract In this article we develop a fully self consistent mathematical model describing the formation of a ...
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A high-order discontinuous Galerkin finite element method for a quadrature-based moment-closure model
... high-order discontinuous Galerkin finite element method to solve this system with a moment-realizability limiter that guarantees that the numerical solution remains in the convex ...
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A discontinuous Galerkin finite element method for the Zakharov Kuznetsov equation
... local discontinuous Galerkin (LDG) method for the ZK equation, which is different from the DG method in our ...LDG method for the fractional Zakharov-Kuznetsov equation and proved the ...
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Discontinuous Galerkin Finite Element Method for the Stokes Problem Using Rectangular Meshes
... DG Method the polynomial order and the angles of the triangles formed in the 2-D ...master element. There is a greater freedom of choice of element types that can be used to estimate our solution in ...
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ERROR ESTIMATE FOR SPACE-TIME DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD OF CONVECTION-DIFFUSION PROBLEM
... space-time discontinuous Galerkin finite element ( DGFE) method for linear convection – diffusion ...DGFE method is applied separately in space and time using, in general, ...
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Clearance gap flow: extended pneumatic measurements and simulations by discontinuous Galerkin finite element method
... The measurements were performed for the channels of the dimensions: length 100 mm, width 100 mm and for various heights in the range from 0.5 mm to 4 mm. The results in the form of distribution of the static pressure ...
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Discontinuous Galerkin Finite Element Method for the Nonlinear Hyperbolic Problems with Entropy-Based Artificial Viscosity Stabilization
... higher-order discontinuous Galerkin finite element methods with an effi- cient and robust high order shock-capturing and stabilization procedure based upon the entropy-based artificial ...
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A high-order, adaptive, discontinuous Galerkin finite element method for the Reynolds-Averaged Navier-Stokes equations
... 7.2.4 Unsteady Adaptation Refinements The unsteady adaptation algorithm presented here is but a beginning. Many issues remain to be resolved. First, the cases shown in Chapter 6 were started from a uniform flow initial ...
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Accurate Discontinuous Galerkin Finite Element Methods for Computing Light Propagation in Photonic Crystals
... a method for computing the light propagation in photonic crystals was ...the discontinuous Galerkin finite element method was motivated and applied to the ...
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Anisotropic hp adaptive discontinuous Galerkin finite element methods for compressible fluid flows
... penalty discontinuous Galerkin finite element ...the finite element residuals with local weighting terms involving the solution of a certain adjoint problem that must be ...
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A Mixed Discontinuous Galerkin Method for Incompressible Magnetohydrodynamics
... penalty discontinuous Galerkin finite element method for the discretization of an incompressible MHD model ...the method under ...
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Two-grid hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic PDEs
... hp–version discontinuous Galerkin finite element method is ...fine finite element spaces V (T H , P ) and V (T h , p), respectively, ...
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Discontinuous Galerkin Finite Element Methods for Photonic Crystals
... To compensate, some components of V k that correspond to uninteresting eigenvalues are dropped. For this the Krylov-Schur method developed by Stewart [29] is used. Stewart slightly generalises the form AV k = V k ...
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A Hybrid Reconstructed Discontinuous Galerkin and Continuous Galerkin Finite Element Method for Incompressible Flows on Unstructured Grids.
... However, the DGM have a number of weaknesses that have yet to be addressed, before they can be robustly used for flow problems of practical interest in a complex configuration environment. In particular, how to ...
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Automatic symbolic computation for discontinuous Galerkin finite element methods
... and outer–traces of the FEM solution, relative to a given orientation of the element face. In recent years, DGFEMs have become an increasingly popular class of FEMs, most notably due to their local conservation ...
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Discontinuous Galerkin finite element heterogeneous multiscale method for advection-diffusion problems with multiple scales
... multiscale method (HMM) proposed by E and Engquist in [28], a time-dependent advection-diffusion problem where the diffusion tensor is a multiple of the unit tensor and the velocity field exhibits scale separation ...
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Topics in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Analysis
... The discontinuous Petrov-Galerkin (DPG) method is a novel mini- mal residual method which has attracted much ...The method is easy to imple- ment, highly parallelizable, and allows for ...
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An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms
... a discontinuous approximation of the trial solution, which requires additional unknowns to repre- sent traces of the solution over the mesh ...the method from the DG formulation that provides the inner ...
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Discontinuous Galerkin Finite Element Methods for the time harmonic Maxwell equations in periodic media
... The method that is considered in this report is the discontinuous Galerkin finite ele- ment method, which is similar to the finite element ...one element, which may ...
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Continuous and discontinuous Galerkin finite element methods of variational Boussinesq water-wave models
... If the fully nonlinear waves eventually start to break, for waves propagating through the surf- zone, the propagating waves are shown to have a relatively good dispersion with respect to the exact dispersion relation. To ...
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