Penalty Discontinuous Galerkin Methods
Multigrid algorithms for hp version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes
... AMG methods the agglomerates are formed, at a purely algebraic level, by using either the maximal independent set, the (approximate) maximum weighted matching or the greedy aggregation algorithms, and the re- ...
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A Parallel Implicit Reconstructed Discontinuous Galerkin Method for Compressible Turbulent Flows on 3D Hybrid Grids.
... volume methods, Batten ...the discontinuous Galerkin space and integrated implicitly in time with the analytically derived approximate ...interior penalty method for the numerical ...
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hp version discontinuous Galerkin methods for advection diffusion reaction problems on polytopic meshes
... interior penalty methods, have typically minimal communication, in the sense that only direct face-element neigh- bours are coupled through the exploitation of appropriate numerical fluxes; this has ...
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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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Velocity Projection with Upwind Scheme Based on the Discontinuous Galerkin Methods for the Two Phase Flow Problem
... use Penalty Discontinuous Ga- lerkin (PDG) methods to discretize the pressure equation, like in [1]-[3], both the pressure and saturation equa- tions will be discritized by the PDG methods, ...
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High order discontinuous Galerkin methods on surfaces
... tinuous Galerkin (DG) methods and its in-built stabilisation mechanisms for dealing with advection dominated problems and solution blow-ups, it is natural to extend the DG framework for PDEs posed on ...DG ...
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Compact and stable discontinuous Galerkin methods for convection diffusion problems
... the penalty coefficient, in case of simplified diffusion term, is transformed into a problem of finding an estimate for a series of inequalities between different ...
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hp Adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows
... interior penalty discontinuous Galerkin method, together with a Lax–Friedrichs numerical flux approximation of the nonlinear convective ...of discontinuous piecewise polynomials for the ...
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Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem
... interior penalty Galerkin method that allows us to impose the TVNF and NVTF boundary conditions in quite a natural ...decomposition methods with arbitrary shape of the interfaces and Schwarz type ...
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A stabilized mixed discontinuous Galerkin method for the incompressible miscible displacement problem
... Recently, discontinuous Galerkin for miscible displacement has been investi- gated by numerical experiments and was reported to exhibit good numerical performance ...the discontinuous Galerkin ...
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Analysis of discontinuous Galerkin methods on surfaces
... In the following numerical tests we will restrict our attention to the (symmetric) surface IP method (4.10) with the penalty parameter α chosen to be equal to 10. This surface DG method has been implemented using ...
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Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains
... element methods by Sauter and co-workers in the series of articles [24, 23, 26]; the generalization to hp– version discontinuous Galerkin composite finite element methods (DGCFEMs) has been ...
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hp Version composite discontinuous Galerkin methods for elliptic problems on complicated domains
... hp–version discontinuous Galerkin composite finite element methods (DGCFEMs) are ...CFE methods is to construct the underlying finite element spaces based on first generating a hierarchy of ...
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hp adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains
... We first begin by considering the performance of the proposed a posteriori error estimators with h–refinement, i.e., the polynomial degrees are kept fixed; here, we set p = 2, i.e., piecewise discontinuous ...
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Optimized Schwarz methods for heterogeneous Helmholtz and Maxwell's equations
... Schwarz methods for second order Maxwell equations in 3d with coefficient ...composition Methods in Science and Engineering XXII, Lecture Notes in Computational Science and ...Schwarz methods for ...
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The hp version of Eulerian Lagrangian mixed discontinuous finite element methods for advection diffusion problems
... A slightly different discontinuous Galerkin method has recently been intro- duced in [32]. Their method is different from the global element method in that the sign in front of the so-called symmetric term ...
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Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations
... In the case of the homogeneous nearly incompressible elasticity the two-level methods coupled with SORAS preconditioner defined in [HJN15] and SMRAS preconditioner defined by (4.23) allowed us to achieve good ...
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Discontinuous Galerkin methods for compressible and incompressible flows on space-time adaptive meshes
... These methods are certainly efficient, but they have a maximum reachable order of accuracy in time, which is ...space-time discontinuous Galerkin (LSTDG) predictor and it has been successfully ...
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An Upwind-mixed Finite Element Method with Moving Grids for Quasi-nonlinear Sobolev Equations
... Sobolev equations have important applications in many mathematical and physical problems, such as the percolation theory of the fluid flowing through the cracks [5], the transfer problem of the moisture in the soil [6], ...
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Numerical modeling of seismic waves by discontinuous spectral element methods★
... piecewise discontinuous across macroelements and (weak) continuity is enforced based on employing, at a subdomain level, the symmetric interior penalty DG (SIPG) method ...interior penalty method ...
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