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Finite volume based multigrid preconditioners for discontinuous Galerkin methods

Versbach, Lea Miko LU ; Birken, Philipp LU and Gassner, Gregor (2018) GAMM Annual Meeting, 2018 In Proceedings in Applied Mathematics and Mechanics (PAMM) 18(1).
Abstract
Our aim is to construct efficient preconditioners for high order discontinuous Galerkin (DG) methods. We consider the DG spectral element method with Gauss‐Lobatto‐Legendre nodes (DGSEM‐GL) for the 1D linear advection equation. It has been shown in [4] that DGSEM‐GL has the summation‐by‐parts (SBP) property and an equivalent finite volume (FV) discretization is presented in [3]. Thus we present a multigrid (MG) preconditioner based on a simplified FV discretization.
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
High order methods, Multigrid, Discontinuous Galerkin
host publication
Special Issue: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
series title
Proceedings in Applied Mathematics and Mechanics (PAMM)
volume
18
issue
1
article number
e201800203
pages
2 pages
publisher
Wiley-VCH Verlag
conference name
GAMM Annual Meeting, 2018
conference location
Munich, Germany
conference dates
2018-03-19 - 2018-03-23
ISSN
1617-7061
DOI
10.1002/pamm.201800203
project
Efficient Solvers for Space-Time Discontinuous Galerkin Spectral Element Methods
language
English
LU publication?
yes
id
0f0a040e-c1ef-47d9-9450-4855daf1c242
date added to LUP
2019-09-19 14:22:21
date last changed
2022-01-27 12:40:25
@inproceedings{0f0a040e-c1ef-47d9-9450-4855daf1c242,
  abstract     = {{Our aim is to construct efficient preconditioners for high order discontinuous Galerkin (DG) methods. We consider the DG spectral element method with Gauss‐Lobatto‐Legendre nodes (DGSEM‐GL) for the 1D linear advection equation. It has been shown in [4] that DGSEM‐GL has the summation‐by‐parts (SBP) property and an equivalent finite volume (FV) discretization is presented in [3]. Thus we present a multigrid (MG) preconditioner based on a simplified FV discretization.}},
  author       = {{Versbach, Lea Miko and Birken, Philipp and Gassner, Gregor}},
  booktitle    = {{Special Issue: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)}},
  issn         = {{1617-7061}},
  keywords     = {{High order methods; Multigrid; Discontinuous Galerkin}},
  language     = {{eng}},
  month        = {{12}},
  number       = {{1}},
  publisher    = {{Wiley-VCH Verlag}},
  series       = {{Proceedings in Applied Mathematics and Mechanics (PAMM)}},
  title        = {{Finite volume based multigrid preconditioners for discontinuous Galerkin methods}},
  url          = {{http://dx.doi.org/10.1002/pamm.201800203}},
  doi          = {{10.1002/pamm.201800203}},
  volume       = {{18}},
  year         = {{2018}},
}