Results 81 to 90 of about 21,624 (188)

Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion

open access: yes, 2018
We present a class of spline finite element methods for time-domain wave propagation which are particularly amenable to explicit time-stepping. The proposed methods utilize a discontinuous Galerkin discretization to enforce continuity of the solution ...
Chan, Jesse, Evans, John A
core   +1 more source

Output‐based mesh optimization for hybridized and embedded discontinuous Galerkin methods

open access: yesInternational Journal for Numerical Methods in Engineering, 2019
This paper presents a method for optimizing computational meshes for the prediction of scalar outputs when using hybridized and embedded discontinuous Galerkin (HDG/EDG) discretizations.
K. Fidkowski, Guodong Chen
semanticscholar   +1 more source

A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

open access: yes, 2010
A discontinuous Galerkin method for the ideal 5 moment two-fluid plasma system is presented. The method uses a second or third order discontinuous Galerkin spatial discretization and a third order TVD Runge-Kutta time stepping scheme.
Ammar Hakim   +8 more
core   +1 more source

Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations on deforming meshes [PDF]

open access: yes, 2006
An overview is given of a space-time discontinuous Galerkin finite element method for the compressible Navier-Stokes equations. This method is well suited for problems with moving (free) boundaries which require the use of deforming elements. In addition,
Bos, F. van der   +3 more
core   +1 more source

A Cut Discontinuous Galerkin Method for Coupled Bulk-Surface Problems

open access: yes, 2017
We develop a cut Discontinuous Galerkin method (cutDGM) for a diffusion-reaction equation in a bulk domain which is coupled to a corresponding equation on the boundary of the bulk domain. The bulk domain is embedded into a structured, unfitted background
Massing, Andre
core   +1 more source

Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows

open access: yes, 2018
In this work, we consider the discretization of nonlinear hyperbolic systems in nonconservative form with the high-order discontinuous Galerkin spectral element method (DGSEM) based on collocation of quadrature and interpolation points (Kopriva and ...
Renac, Florent
core   +1 more source

hp-adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems

open access: yesComputers and Mathematics with Applications, 2019
This work is concerned with the derivation of a robust a posteriori error estimator for a discontinuous Galerkin method discretisation of a linear non-stationary convection-diffusion initial/boundary value problem and with the implementation of a ...
A. Cangiani   +3 more
semanticscholar   +1 more source

Time-space adaptive discontinuous Galerkin method for advection-diffusion equations with non-linear reaction mechanism

open access: yes, 2014
In this work, we apply a time-space adaptive discontinuous Galerkin method using the elliptic reconstruction technique with a robust (in P\'eclet number) elliptic error estimator in space, for the convection dominated parabolic problems with non-linear ...
Karasözen, Bülent, Uzunca, Murat
core   +1 more source

Two-grid hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic PDEs [PDF]

open access: yes
In this article we propose a class of so-called two-grid hp-version discontinuous Galerkin finite element methods for the numerical solution of a second-order quasilinear elliptic boundary value problem of monotone type.
Congreve, Scott   +2 more
core  

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