Runge–Kutta discontinuous Galerkin methods for convection-dominated problems
In this paper, we review the development of the Runge–Kutta discontinuous Galerkin
(RKDG) methods for non-linear convection-dominated problems. These robust and accurate …
(RKDG) methods for non-linear convection-dominated problems. These robust and accurate …
An introduction to the discontinuous Galerkin method for convection-dominated problems
In these notes, we study the Runge Kutta Discontinuous Galerkin method for numericaly
solving nonlinear hyperbolic systems and its extension for convection-dominated problems …
solving nonlinear hyperbolic systems and its extension for convection-dominated problems …
The development of discontinuous Galerkin methods
In this paper, we present an overview of the evolution of the discontinuous Galerldn methods
since their introduction in 1973 by Reed and Hill, in the framework of neutron transport, until …
since their introduction in 1973 by Reed and Hill, in the framework of neutron transport, until …
[BOOK][B] Scientific Computation
P Joly, A Quarteroni, J Rappaz - 2005 - Springer
Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …
was still fairly novel. Motivated by the many favorable comments we have received and the …
Discontinuous hp-Finite Element Methods for Advection-Diffusion-Reaction Problems
We consider the hp-version of the discontinuous Galerkin finite element method (DGFEM)
for second-order partial differential equations with nonnegative characteristic form. This …
for second-order partial differential equations with nonnegative characteristic form. This …
hp-version discontinuous Galerkin methods on polygonal and polyhedral meshes
An hp-version interior penalty discontinuous Galerkin method (DGFEM) for the numerical
solution of second-order elliptic partial differential equations on general computational …
solution of second-order elliptic partial differential equations on general computational …
Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and …
A new finite element method for fourth-order elliptic partial differential equations is presented
and applied to thin bending theory problems in structural mechanics and to a strain gradient …
and applied to thin bending theory problems in structural mechanics and to a strain gradient …
A class of discontinuous Petrov–Galerkin methods. II. Optimal test functions
We lay out a program for constructing discontinuous Petrov–Galerkin (DPG) schemes
having test function spaces that are automatically computable to guarantee stability. Given a …
having test function spaces that are automatically computable to guarantee stability. Given a …
Discontinuous galerkin methods
B Cockburn - ZAMM‐Journal of Applied Mathematics and …, 2003 - Wiley Online Library
This paper is a short essay on discontinuous Galerkin methods intended for a very wide
audience. We present the discontinuous Galerkin methods and describe and discuss their …
audience. We present the discontinuous Galerkin methods and describe and discuss their …
A class of discontinuous Petrov–Galerkin methods. Part I: The transport equation
Considering a simple model transport problem, we present a new finite element method.
While the new method fits in the class of discontinuous Galerkin (DG) methods, it differs from …
While the new method fits in the class of discontinuous Galerkin (DG) methods, it differs from …