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The development of discontinuous Galerkin methods


The Development of Discontinuous Galerkin Methods - SpringerLink

In this paper, we present an overview of the evolution of the discontinuous Galerkin methods since their introduction in 1973 by Reed and Hill, in the ...

The development of discontinuous Galerkin methods

The development of discontinuous Galerkin methods. Bernardo Cockburn1, George E. Karniadakis2, and Chi-Wang Shu2. 1 School of Mathematics, University of ...

Discontinuous Galerkin method - Wikipedia

In applied mathematics, discontinuous Galerkin methods (DG methods) form a class of numerical methods for solving differential equations.

Development and application of discontinuous Galerkin method for ...

This work develops the discontinuous Galerkin method (DGM) to solve the enthalpy equation (EE) and radiative transfer equation (RTE) that govern the phase ...

The Development of Discontinuous Galerkin Methods

An overview of the evolution of the discontinuous Galerkin methods since their introduction in 1973 by Reed and Hill, in the framework of neutron transport, ...

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 Maxwell's ...

Abstract. The discontinuous Galerkin method has proved to be an accurate and efficient way to numerically solve many differential equations. In this paper, we ...

A SIMPLE TUTORIAL ON DISCONTINUOUS GALERKIN METHODS ...

Discontinuous Galerkin methods are those finite element methods which ... The Development of discontinuous Galerkin methods”, In Discontinuous Galerkin.

Discontinuous Galerkin Methods for Elliptic problems

On the other hand, DG methods for the numerical treatment of nonlinear hyperbolic systems experienced a vigorous development during the last ten years due to a ...

Discontinuous Galerkin Methods: General Approach and Stability

A major development of the DG method is carried out by Cockburn et al. in a series of papers [14, 13, 12, 10, 15], in which they have established a framework to ...

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

In this paper, we perform numerical simulations of supersonic flow over a 15◦-45◦ double- wedge geometry using a time-implicit spectral discontinuous finite ...

Discontinuous Galerkin Methods: Theory, Computation and ...

Front Matter. Pages 1-1. Download chapter PDF · The Development of Discontinuous Galerkin Methods. Bernardo Cockburn, George E. Karniadakis, Chi-Wang Shu. Pages ...

Discontinuous Galerkin methods - HAL

An introduction to DG methods can be found in the short monograph [26]. A history of their development and the state of the art up to 1999 can ...

Development of Discontinuous Galerkin Methods and a Parallel ...

Abstract. The classical discontinuous Galerkin (DG) methods are designed for elliptic (parabolic) problems and hyperbolic problems. For ...

Development of a Discontinuous Galerkin Ionosphere ...

The high-order discontinuous Galerkin method is used to solve the multifluid plasma dynamical equations along the magnetic field line.

47 - Discontinuous Galerkin methods - Introduction - YouTube

This is a lecture in the video series on "Stabilized finite element methods for fluid mechanics", a course that I taught at the Leibniz ...

Discontinuous Galerkin methods – new trends and applications

Discontinuous Galerkin (DG) methods are a class of finite element methods that use discontinuous basis functions. This particular feature enables the use of ...

Development of Discontinuous Galerkin Methods and a Parallel ...

Abstract. The classical discontinuous Galerkin (DG) methods are designed for elliptic (parabolic) problems and hyperbolic problems. For reservoir simulations, ...

Fundamental Principles of the Discontinuous Galerkin Method and ...

This talk focuses on Discontinuous Galerkin (DG) methods, a special subclass of high-order methods that have been applied very successfully to compressible ...

A Novel Robust Strategy for Discontinuous Galerkin Methods in ...

The DG method amalgamates ideas from several existing methods such as the Finite Element Galerkin method (FEM) and the Finite Volume method (FVM) and is ...