Finite volume based multigrid preconditioners for discontinuous Galerkin methods
(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:
https://lup.lub.lu.se/record/0f0a040e-c1ef-47d9-9450-4855daf1c242
- author
- Versbach, Lea Miko LU ; Birken, Philipp LU and Gassner, Gregor
- organization
- publishing date
- 2018-12-17
- 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}}, }