Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/22575
Title: | An efficient linear solver for the hybridized discontinuous Galerkin method | Authors: | JAUST, Alexander SCHUETZ, Jochen Aizinger, Vadym |
Issue Date: | 2016 | Publisher: | WILEY-VCH Verlag | Source: | Bach, V.; Fassbender, H. (Ed.). Proceedings in Applied Mathematics and Mechanics, WILEY-VCH Verlag,p. 845-846 | Series/Report: | Proceedings in Applied Mathematics and Mechanics | Series/Report no.: | 16 | Abstract: | Discretizing partial differential equations by an implicit solving technique ultimately leads to a linear system of equations that has to be solved. The number of globally coupled unknowns is especially large for discontinuous Galerkin (DG) methods. It can be reduced by using hybridized discontinuous Galerkin (HDG) methods, but still efficient linear solvers are needed. It has been shown that, if hierarchical basis functions are used, a hierarchical scale separation (HSS) ansatz can be an efficient solver. In this work, we couple the HDG method with an HSS solver to solve a scalar nonlinear problem. It is validated by comparing the results with results obtained by GMRES with ILU(3) preconditioning as linear solver. | Keywords: | hybridized discontinuous Galerkin method; hierarchical scale separation | Document URI: | http://hdl.handle.net/1942/22575 | DOI: | 10.1002/pamm.201610411 | Rights: | Copyright © 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim | Category: | C1 | Type: | Proceedings Paper |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Jaust_et_al-2016-PAMM.pdf Restricted Access | Published version | 495.37 kB | Adobe PDF | View/Open Request a copy |
accepted_paper_PAMM.pdf | Peer-reviewed author version | 473.5 kB | Adobe PDF | View/Open |
Page view(s)
44
checked on Sep 7, 2022
Download(s)
80
checked on Sep 7, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.