elib
DLR-Header
DLR-Logo -> http://www.dlr.de
DLR Portal Home | Imprint | Privacy Policy | Contact | Deutsch
Fontsize: [-] Text [+]

Efficient Preconditioning for the Discontinuous Galerkin Finite Element Method by Low-Order Elements

Hartmann, Ralf and Lukacova-Medvidova, M. and Prill, F. (2010) Efficient Preconditioning for the Discontinuous Galerkin Finite Element Method by Low-Order Elements. Applied Numerical Mathematics, 59 (8), pp. 1737-1753. Elsevier. ISSN 0168-9274

Full text not available from this repository.

Abstract

We derive and analyze a block diagonal preconditioner for the linear problems arising from a discontinuous Galerkin finite element discretization. The method can be applied to second-order self-adjoint elliptic boundary value problems and exploits the natural decomposition of the discrete function space into a global low-order subsystem and components of higher polynomial degree. Similar to results for the p-version of the conforming FEM, we prove for the interior penalty discontinuous Galerkin discretization that the condition number of the preconditioned system grows as p<sup>2</sup> (log p + 1)<sup>2</sup>, where p is the polynomial degree of the discrete function space. Numerical experiments demonstrate the performance of the method.

Item URL in elib:https://elib.dlr.de/63155/
Document Type:Article
Title:Efficient Preconditioning for the Discontinuous Galerkin Finite Element Method by Low-Order Elements
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Hartmann, RalfRalf.Hartmann (at) dlr.dehttps://orcid.org/0000-0002-0403-1221
Lukacova-Medvidova, M.UNSPECIFIEDUNSPECIFIED
Prill, F.UNSPECIFIEDUNSPECIFIED
Date:12 February 2010
Journal or Publication Title:Applied Numerical Mathematics
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:59
Page Range:pp. 1737-1753
Publisher:Elsevier
ISSN:0168-9274
Status:Published
Keywords:Discontinuous Galerkin method, block diagonal preconditioning, static condensation, advection-diffusion equation
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Concepts & Integration (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > CASE
Deposited By: Hartmann, Dr.rer.nat. Ralf
Deposited On:12 Feb 2010 12:54
Last Modified:01 Dec 2018 19:47

Repository Staff Only: item control page

Browse
Search
Help & Contact
Information
electronic library is running on EPrints 3.3.12
Copyright © 2008-2017 German Aerospace Center (DLR). All rights reserved.