Results 171 to 180 of about 11,076,576 (211)

Convergence of a Discontinuous Galerkin Multiscale Method [PDF]

open access: yesSIAM Journal on Numerical Analysis, 2013
A convergence result for a discontinuous Galerkin multiscale method for a second order elliptic problem is presented. We consider a heterogeneous and highly varying diffusion coefficient in $L^\infty(Ω,\mathbb{R}^{d\times d}_{sym})$ with uniform spectral bounds and without any assumption on scale separation or periodicity.
Daniel Peterseim   +2 more
exaly   +4 more sources

Discontinuous Galerkin and Related Methods for ODE

Journal of Scientific Computing, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Galerkin and discontinuous Galerkin spectral/hp methods

Computer Methods in Applied Mechanics and Engineering, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Warburton, T. C.   +4 more
openaire   +1 more source

A Multiscale Discontinuous Galerkin Method

2006
We propose a new class of Discontinuous Galerkin (DG) methods based on variational multiscale ideas. Our approach begins with an additive decomposition of the discontinuous finite element space into continuous (coarse) and discontinuous (fine) components.
Pavel B. Bochev   +2 more
openaire   +2 more sources

Discontinuous Galerkin Methods

2016
The discontinuous Galerkin (dG) method was introduced by Reed and Hill [73] in 1973 for steady-state neutron transport as an hyperbolic problem. This was followed by other studies; by Bassi and Rebay [12] for the compressible Navier-Stokes equations, Cockburn and Shu [31] developed the local discontinuous Galerkin (ldG) method for advection-diffusion ...
Gary Cohen, Sébastien Pernet
openaire   +2 more sources

Discontinuous Galerkin Methods

2012
In this final chapter we present the discontinuous Galerkin (dG) method. This method is based on finite element spaces that consist of discontinuous piecewise polynomials defined on a partition of the computational domain. Such methods are very flexible, for example, since they allow construction of more general methods and since they allow for simple ...
Mats G. Larson, Fredrik Bengzon
openaire   +1 more source

On discontinuous Galerkin methods

International Journal for Numerical Methods in Engineering, 2003
AbstractDiscontinuous Galerkin methods have received considerable attention in recent years for problems in which advection and diffusion terms are present. Several alternatives for treating the diffusion and advective fluxes have been introduced. This report summarizes some of the methods that have been proposed.Several numerical examples are included
Zienkiewicz, OC   +3 more
openaire   +4 more sources

Discontinuous Galerkin Methods

2018
Two GDMs are obtained from the Discontinuous Galerkin setting. The first one recovers the high order SIPG schemes in the case of linear problems, the second one, based on average jumps, leads to simpler computations.
Jérôme Droniou   +4 more
openaire   +1 more source

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