Discontinuous Galerkin method

Discontinuous Galerkin method - Wikipedia

Discontinuous Galerkin methods were first proposed and analyzed in the early 1970s as a technique to numerically solve partial differential equations. In 1973 ...

Discontinuous Galerkin Methods: General Approach and Stability

Issues related to the implementation of the DG method will also be addressed. 1 Introduction. Discontinuous Galerkin (DG) methods are a class of finite element ...

A SIMPLE TUTORIAL ON DISCONTINUOUS GALERKIN METHODS ...

Discontinuous Galerkin methods are those finite element methods which utilize element-wise discontinuous basis functions in the choice of approximation spaces.

Discontinuous Galerkin Methods for Computational Fluid Dynamics

The DG methods provide discontinuous approximations defined by using a Galerkin method element by element, the connection between the values of the ...

Discontinuous Galerkin - an overview | ScienceDirect Topics

The discontinuous Galerkin (DG) method is a robust and compact finite element projection method that provides a practical framework for the development of high ...

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 ...

The Discontinuous Galerkin Finite Element Method

Then the effectiveness of the DG method is demonstrated by application to several beam problems. Weighted Residual (WR) Methods. The weighted ...

Discontinuous Galerkin methods - HAL

Let us begin with the problem of the consistency of the DG method. As it is typical for most finite element methods, the method is said to be ...

The Discontinuous Galerkin method

=⇒ Linear hyperbolic system, having the same form as the classic advection equation. 7. Page 14. The Discontinuous Galerkin Method in a Nutshell. • The Ansatz ...

discontinuous galerkin method - an overview | ScienceDirect Topics

It is a method that discretizes space into cells and approximates the flow equations using finite-dimensional function spaces.

Discontinuous Galerkin Methods for Solving Elliptic and Parabolic ...

Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation is divided into three parts: Part I focuses on the ...

Discontinuous Galerkin Method for Time-Dependent Problems

In these lectures we give a general survey on discontinuous Galerkin methods for solving time-dependent partial differential equations.

Hybridizable Discontinuous Galerkin Methods

In recent years, discontinuous Galerkin (DG) finite element methods have emerged as a competitive alternative for solving nonlinear hyperbolic systems of ...

Discontinuous Galerkin Method - SpringerLink

About this book. The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the ...

A bound preserving cut discontinuous Galerkin method for one ...

In this paper we present a family of high order cut finite element methods with bound preserving properties for hyperbolic conservation laws in one space ...

The Discontinuous Galerkin Finite Element Method - UTK Math

Method (FEM) is a variant of the Standard. (Continuous) Galerkin (SG) FEM. • SG-FEM requires continuity of the solution along element interfaces (edges). • DG ...

Direct Discontinuous Galerkin Method and Its Variations for Second ...

Discontinuous Galerkin (DG) method is a class of finite element method that use completely discontinuous piecewise functions as the numerical approxima-.

Discontinuous Galerkin Method

In finite volume methods, there is one solution variable per cell, the cell average value, and the solution is assumed to be piecewise constant.

A Tutorial on Discontinuous Galerkin Methods

1986: Error estimates for the DG method of Reed and Hill. (Johnson and Pitkaranta). • 1989-1998: Runge-Kutta DG methods for nonlinear conservation laws ( ...

Discontinuous Galerkin methods - NGS-Py - Netgen/NGSolve

Discontinuous Galerkin methods¶. Discontinuous Galerkin (DG) methods have certain advantages: One can apply upwinding for convection dominated problems, and ...