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Smoothed Aggregation Multigrid for the Discontinuous Galerkin Method

Prill, F and Lukacova-Medvidova, M and Hartmann, R (2009) Smoothed Aggregation Multigrid for the Discontinuous Galerkin Method. SIAM Journal on Scientific Computing, 31, pp. 3503-3528. SIAM - Society for Industrial and Applied Mathematics. ISSN 0196-5204

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Abstract

The aim of this paper is to investigate theoretically as well as experimentally an algebraic multilevel algorithm for the solution of the linear systems that arise from the discontinuous Galerkin method. The smoothed aggregation multigrid, introduced by Van\v{e}k for the conforming finite element method, is applied to low-order discretizations of convection-diffusion equations. For the elliptic model problem the algorithm is shown to be quasi-optimal. Adjustments for the case of non-vanishing advection, such as directionally implicit smoothing and a suitable splitting of the operator are discussed. Several numerical experiments are presented for two-dimensional problems, including a Newton type linearization of the compressible Navier-Stokes equations.

Item URL in elib:https://elib.dlr.de/60630/
Document Type:Article
Title:Smoothed Aggregation Multigrid for the Discontinuous Galerkin Method
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Prill, Fflorian.prill (at) dlr.deUNSPECIFIED
Lukacova-Medvidova, MUNSPECIFIEDUNSPECIFIED
Hartmann, RUNSPECIFIEDUNSPECIFIED
Date:June 2009
Journal or Publication Title:SIAM Journal on Scientific Computing
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:31
Page Range:pp. 3503-3528
Publisher:SIAM - Society for Industrial and Applied Mathematics
ISSN:0196-5204
Status:Published
Keywords:Discontinuous Galerkin Method, Multigrid Method, Advection-Diffusion Equation, Navier-Stokes Equations.
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: Prill, Florian
Deposited On:12 Nov 2009 10:55
Last Modified:06 Sep 2019 15:29

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