Results 261 to 270 of about 121,260 (302)

Well-Balanced Nodal Discontinuous Galerkin Method for Euler Equations with Gravity

Journal of Scientific Computing, 2015
We present a well-balanced nodal discontinuous Galerkin (DG) scheme for compressible Euler equations with gravity. The DG scheme makes use of discontinuous Lagrange basis functions supported at Gauss–Lobatto–Legendre (GLL) nodes together with GLL ...
P. Chandrashekar, Markus Zenk
semanticscholar   +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.
Guglielmo Scovazzi, Thomas J. R. Hughes, Pavel B. Bochev   +2 more
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Introduction to Discontinuous Galerkin Methods

2017
The purpose of this chapter is to present an overview of the construction of discontinuous Galerkin finite element methods for a general class of second-order partial differential equations with nonnegative characteristic form. This class of equations includes second-order elliptic and parabolic partial differential equations, ultra-parabolic equations,
Emmanuil H. Georgoulis, Emmanuil H. Georgoulis, Andrea Cangiani, Zhaonan Dong, Paul Houston   +4 more
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The Hybridizable Discontinuous Galerkin Methods

Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), 2011
We introduce the hybridizable discontinuous Galerkin (HDG) methods in the framework of steady-state diffusion problems and show why they can be implemented more efficiently than any other DG method and why they are also more accurate. We then give an overview of the application of these methods to several problems including wave propagation, linear and
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Mathematical Analysis and the Local Discontinuous Galerkin Method for Caputo–Hadamard Fractional Partial Differential Equation

Journal of Scientific Computing, 2020
Changpin Li, Zhiqiang Li, Zhen Wang
semanticscholar   +1 more source

The Hybridizable Discontinuous Galerkin Method

2019
In this section, we show how the spaces of RT and BDM can be balanced to have an equal polynomial degree. Stability will be restored using a discrete stabilization (not penalization) function. This is how local quantities of RT, BDM, and HDG methods compare.
Shukai Du, Francisco-Javier Sayas
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Mixed Discontinuous Galerkin Methods for Darcy Flow

Journal of Scientific Computing, 2005
The authors consider a family of mixed finite element discretizations of Darcy flow equations using totally discontinuous elements (both for the pressure and flux variable). Instead of using a jump stabilization as it is usually done in discontinuous Galerkin methods, they use the stabilization introduced in \textit{A. Masud} and \textit{T. J.
Brezzi F, Hughes TJR, Marini LD, Masud A
openaire   +2 more sources

The space-continuous–discontinuous Galerkin method

Computer Methods in Applied Mechanics and Engineering, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hybridizable Discontinuous Galerkin Methods

2010
We present an overview of recent developments of HDG methods for numerically solving partial differential equations in fluid mechanics.
Bernardo Cockburn, Ngoc Cuong Nguyen, Jaime Peraire   +2 more
openaire   +2 more sources

Virtual Element and Discontinuous Galerkin Methods

2013
Virtual element methods (VEM) are the latest evolution of the Mimetic Finite Difference Method and can be considered to be more close to the Finite Element approach. They combine the ductility of mimetic finite differences for dealing with rather weird element geometries with the simplicity of implementation of Finite Elements.
F Brezzi, LD Marini
openaire   +3 more sources