Development of discontinuous Galerkin methods for hyperbolic ...

More precisely, we define the discrete Hodge star operator, the exterior derivative, and their adjoints. The discrete adjoint divergence and ...

Development of discontinuous Galerkin methods for hyperbolic systems that preserve a curl or a divergence constraint. 2024. hal-04564886 ...

hp-Version discontinuous Galerkin methods for hyperbolic ...

The development of hp-version discontinuous Galerkin methods for hyperbolic conservation laws is presented in this work.

Discontinuous Galerkin methods for Hyperbolic PDEs. Lecture 1

Similarly, several non-linear schemes can be developed, ENO, WENO, etc., each of which providing a spatial reconstruction which depends on the ...

The development of discontinuous Galerkin methods

Falk [86] reviews several techniques of analysis for finite element methods for hyperbolic problems including the DG method and the continuous Galerkin method.

Discontinuous Galerkin Methods for Hyperbolic Partial Differential ...

In this paper a survey is given of the important steps in the development of discontinuous Galerkin finite element methods for hyperbolic partial ...

Discontinuous Galerkin Methods: General Approach and Stability

for the discontinuous Galerkin method solving hyperbolic conservation laws. ... The first local discontinuous Galerkin method was developed by Cockburn and Shu.

Discontinuous Galerkin Methods for Hyperbolic Systems of PDEs ...

In the first part, we develop local discontinuous Galerkin (LDG) methods for the Boussinesq coupled BBM system. The system contains nonlinear dispersive wave ...

Discontinuous Galerkin methods for first-order hyperbolic problems

A discontinuous Galerkin method with skeletal multipliers (DGSM) is developed for diffusion problem. Skeletal multiplier is introduced on the ...

Discontinuous Galerkin method for hyperbolic equations involving δ ...

Abstract. In this paper, we develop and analyze discontinuous Galerkin (DG) methods to solve hyperbolic equations involving δ-singularities. Negative-order ...

hp- Version Discontinuous Galerkin Methods for Hyperbolic ...

' The basic approach developed in this work employs a new family of adaptive, hp-version, finite element methods based on a spe- cial ...

Discontinuous Galerkin method - Wikipedia

In 1973 Reed and Hill introduced a DG method to solve the hyperbolic neutron transport equation. ... A more complete account of the historical development and an ...

A moving mesh discontinuous Galerkin method for hyperbolic ...

In this presentation, a moving mesh discontinuous Galerkin (DG) method is developed for the numerical solution of hyperbolic conservation laws.

DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER ...

The main aim of this paper is to highlight that, when dealing with DG methods for linear hyperbolic equations or advection-dominated equations, ...

The Development of a p-Adaptive Discontinuous Galerkin Method ...

The Development of a p-Adaptive Discontinuous Galerkin Method for Nonlinear Hyperbolic Conservation Laws · Zubin J. Lal, · Graham V. Candler and ...

Discontinuous Galerkin finite element methods for hyperbolic ...

Developing robust limiting strategies that prevent unphysical solutions; · Developing new extensions to handle non-standard hyperbolic PDEs; and · Developing ...

Discontinuous Galerkin Method for Hyperbolic Conservation Laws

The development of theoretical research in the field of hyperbolic conservations laws led early on to the introduction of methods that produce numerical ...

An Essentially Oscillation-Free Discontinuous Galerkin Method for ...

In this paper, we develop an essentially oscillation-free discontinuous Galerkin method for systems of hyperbolic conservation laws.

Discontinuous Galerkin Methods - University Digital Conservancy

-W.: The development of discontinuous Galerkin methods. In: COCKBURN ... -adaptive discontinuous Galerkin finite element methods for hyperbolic problems.

an oscillation-free discontinuous galerkin method for scalar ...

In this paper, we propose a novel discontinuous Galerkin (DG) method to con- trol the spurious oscillations when solving the scalar hyperbolic conservation laws ...