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Discontinuous Galerkin methods: theory, computation and



Galerkin Method and the Discontinuous Galerkin Method

The Institute for Computational Engineering and Sciences ... Galerkin method of Demkowicz and Gopalakrishnan [13,15] and the popular discontinuous Galerkin method. Starting from a discontinuous Petrov–Galerkin (DPG) method ...... Galerkin Methods: Theory, Computation and Applications, Lecture Notes in Computa- ...


Introduction of Discontinuous Galerkin Methods

Collected works on the DG methods: ○ Discontinuous Galerkin Methods: Theory, Computation and. Applications, B. Cockburn, G. Karniadakis and C.-W. Shu, editors,. Lecture Notes in Computational Science and Engineering, volume. 11, Springer, 2000. (Proceedings of the first DG Conference). ○ Journal of Scientific  ...

Prof. Jianxian Qiu_tutorial.pdf

A space–time discontinuous Galerkin method for the solution of the

We present a space– time discontinuous Galerkin method with Lagrange multipliers, where the shape approximation in ... ∗Correspondence to: Department of Mechanical Engineering and Institute for Computational and Mathematical ...... The partition of unity finite element method: Basic theory and applications. Computer ...


Discontinuous Galerkin Finite Element Method: Survey and Recent

DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD: SURVEY AND RECENT DEVELOPMENT. Collected works on the DG methods: • Discontinuous Galerkin Methods: Theory, Computation and. Applications, B. Cockburn, G. Karniadakis and C.-W. Shu, editors,. Lecture Notes in Computational Science and ...


Local Discontinuous Galerkin Methods for Partial Differential

computational cost, for linear as well as some nonlinear problems, with a local uniform mesh. KEY WORDS: ... application of the discontinuous Galerkin method directly to the heat equation containing ...... Discontinuous Galerkin Methods: Theory, Computation and Applications, Lecture Notes in. Computational Science and ...


Discontinuous Galerkin methods for turbulence simulation

A discontinuous Galerkin (DG) method is formulated, implemented, and tested for sim- ulation of compressible turbulent ... Discontinuous Galerkin can be thought of as a hybrid of finite-volume and finite-element methods that has a number ...... 2000 Discontinuous Galerkin. Methods: Theory, Computation, and Applications.


different formulations of the discontinuous galerkin method for the

Key words. discontinuous Galerkin method, viscous terms, convection diffusion problem. AMS subject classifications. ... The discontinuous Galerkin method for ( 1.1) has found rapid applications in such diverse areas as ...... methods, in Discontinuous Galerkin Methods: Theory, Computation and Applications, B. Cockburn, G.

Different Formulations of the Discontinuous Galerkin Method.pdf

Discontinuous Galerkin Methods

Moreover, the methods are locally conservative (a property highly valued by the computational fluid dynamics community) and, in spite of providing discontinuous approximations, stable, and high-order accurate. Even more, when applied to non-linear hyperbolic problems, the discontinuous Galerkin methods are able to  ...


Shock Detection and Limiting with Discontinuous Galerkin Methods

and discontinuous. With such knowledge, limiting would only be used near dis- continuities and high-order accuracy would be preserved in smooth regions. ...... Discontinuous. Galerkin Methods: Theory, Computation and Applications, volume 11 of. Lecture Notes in Computational Science and Engineering, Berlin, 2000.


A Discontinuous Galerkin Formulation for Solution of Parabolic

In sections (2) and (3) we describe our discontinuous Galerkin (DG) formulation and provide an a priori analysis. Section (4) ... differential equation by discretizing via a DG finite element method that is based on. Nitsche's method (Nitsche [1970 ]) to ..... Discontinuous Galerkin methods. Theory, Computation and applications,.


Investigation on Discontinuous Galerkin Solvers for Different

Parallel Computational Fluid Dynamics Conference (ParCFD2013). Investigation on ... Keywords: Compressible flow, Euler equation, Maxwell equation, Time domain, Discontinuous Galerkin method, Nodal basis ..... Theory, Computation and Applications, Lecture Notes in Computational Science and Engineering, Vol.


A Multiscale Discontinuous Galerkin Method

DG methods is illustrated for a scalar advection-diffusion problem. 1 Introduction. Discontinuous Galerkin (DG) methods offer several important computational ad- vantages over their continuous Galerkin counterparts. For instance, DG methods are particularly well-suited for application of h and p-adaptivity strategies. DG.


Discontinuous Galerkin Finite Flement Method, Theory and

Theory and Applications to Computational Fluid Dynamics. Series of lectures delivered at the Humboldt University in Berlin. 14.07 - 16.07.2009. Miloslav Feistauer. Faculty of Mathematics and Physics, Charles University in Prague e- mail: [email protected] The discontinuous Galerkin finite element method ( DGFEM) is ...


Runge–Kutta Discontinuous Galerkin Methods for Convection

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 methods have made their way into the main stream of computational fluid dynamics and are quickly finding use in a wide variety of applications.


Applications of Discontinuous Galerkin Methods to Computational

We discuss a discontinuous Galerkin (dG) method and its application to common partial differential equations which arise ... velopment and numerical analysis of computational methods. I had some experience with this area ... 2.4 Gravitational Perturbation Theory for Non–Spinning Black Holes . . 17. 2.4.1 Problem Setup .


A Hermite WENO-based Limiter for Discontinuous Galerkin Method

∗Senior Research Scientist, Center for Applied Computational Sciences, Senior Member AIAA. †Director ... used as a non-linear limiter for a discontinuous Galerkin method to solve the compressible Euler equations ...... in Discontinuous Galerkin Methods, Theory, Computation, and Applications, edited by B. Cockburn , G.E..


Application of the discontinuous spectral Galerkin method to

a Department of Geological Sciences and School of Computational Science and Information Technology, Dirac Science Library, ... Abstract. The discontinuous spectral Galerkin method uses a finite-element discretization of the groundwater flow domain with basis ...... methods: theory, computation and applications. Lecture ...

2004 df ADWR.pdf

Discontinuous Galerkin and the Crouzeix–Raviart element

63–72. DOI: 10.1051/m2an:2003020. DISCONTINUOUS GALERKIN AND THE CROUZEIX–RAVIART ELEMENT: APPLICATION TO ELASTICITY. Peter Hansbo. 1 and Mats G. Larson. 2. Abstract. We propose a discontinuous Galerkin method for linear elasticity, based on discontinuous piecewise linear approximation of the  ...


A new C0 discontinuous Galerkin method for Kirchhoff plates 1

Keywords: Kirchhoff plate; C0 discontinuous Galerkin method; numerical trace; LCDG method; error analysis. 1 Introduction. In the past two decades, discontinuous Galerkin (DG) methods have been widely used for solving many ...... Galerkin meth- ods. Theory, computation and applications, Lecture Notes in Computational.