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Author : Bernardo Cockburn
Release : 2000
Genre :
Kind : eBook
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Book Synopsis Runge-Kutta Discontinuous Galerkin Methods for Convection-dominated Problems by : Bernardo Cockburn
Download or read book Runge-Kutta Discontinuous Galerkin Methods for Convection-dominated Problems written by Bernardo Cockburn. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernardo Cockburn
Release : 2000
Genre : Algorithms
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis The Runge-Kutta Discontinuous Galerkin Method for Convection-dominated Problems by : Bernardo Cockburn
Download or read book The Runge-Kutta Discontinuous Galerkin Method for Convection-dominated Problems written by Bernardo Cockburn. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernardo Cockburn
Release : 1997
Genre :
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Book Synopsis The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems by : Bernardo Cockburn
Download or read book The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems written by Bernardo Cockburn. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we study the Local Discontinuous Galerkin methods for non-linear, time-dependent convection-diffusion systems. These methods are an extension of the Runge-Kutta Discontinuous Galerkin methods for purely hyperbolic systems to convection-diffusion systems and share with those methods their high parallelizability, their high-order formal accuracy, and their easy handling of complicated geometries, for convection dominated problems. It is proven that for scalar equations, the Local Discontinuous Galerkin methods are L2-stable in the nonlinear case. Moreover, in the linear case, it is shown that if polynomials of degree k are used, the methods are k-th order accurate for general triangulations; although this order of convergence is suboptimal, it is sharp for the LDG methods. Preliminary numerical examples displaying the performance of the method are shown.
Author : Bernardo Cockburn
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 211/5 ( reviews)
Book Synopsis Discontinuous Galerkin Methods by : Bernardo Cockburn
Download or read book Discontinuous Galerkin Methods written by Bernardo Cockburn. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: A class of finite element methods, the Discontinuous Galerkin Methods (DGM), has been under rapid development recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simula tion, turbomachinery, turbulent flows, materials processing, MHD and plasma simulations, and image processing. While there has been a lot of interest from mathematicians, physicists and engineers in DGM, only scattered information is available and there has been no prior effort in organizing and publishing the existing volume of knowledge on this subject. In May 24-26, 1999 we organized in Newport (Rhode Island, USA), the first international symposium on DGM with equal emphasis on the theory, numerical implementation, and applications. Eighteen invited speakers, lead ers in the field, and thirty-two contributors presented various aspects and addressed open issues on DGM. In this volume we include forty-nine papers presented in the Symposium as well as a survey paper written by the organiz ers. All papers were peer-reviewed. A summary of these papers is included in the survey paper, which also provides a historical perspective of the evolution of DGM and its relation to other numerical methods. We hope this volume will become a major reference in this topic. It is intended for students and researchers who work in theory and application of numerical solution of convection dominated partial differential equations. The papers were written with the assumption that the reader has some knowledge of classical finite elements and finite volume methods.
Author : National Aeronautics and Space Administration (NASA)
Release : 2018-07-13
Genre :
Kind : eBook
Book Rating : 031/5 ( reviews)
Book Synopsis The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems by : National Aeronautics and Space Administration (NASA)
Download or read book The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems written by National Aeronautics and Space Administration (NASA). This book was released on 2018-07-13. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we study the Local Discontinuous Galerkin methods for nonlinear, time-dependent convection-diffusion systems. These methods are an extension of the Runge-Kutta Discontinuous Galerkin methods for purely hyperbolic systems to convection-diffusion systems and share with those methods their high parallelizability, their high-order formal accuracy, and their easy handling of complicated geometries, for convection dominated problems. It is proven that for scalar equations, the Local Discontinuous Galerkin methods are L(sup 2)-stable in the nonlinear case. Moreover, in the linear case, it is shown that if polynomials of degree k are used, the methods are k-th order accurate for general triangulations; although this order of convergence is suboptimal, it is sharp for the LDG methods. Preliminary numerical examples displaying the performance of the method are shown. Cockburn, Bernardo and Shu, Chi-Wang Langley Research Center NAS1-19480; DAAH04-94-G-0205; NSF DMS-94-00814; NSF DMS-94-07952; NAG1-1145; AF-AFOSR-95-1-0074; RTOP 505-90-52-01...
