Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/22575
Full metadata record
DC FieldValueLanguage
dc.contributor.authorJAUST, Alexander-
dc.contributor.authorSCHUETZ, Jochen-
dc.contributor.authorAizinger, Vadym-
dc.date.accessioned2016-11-10T08:40:57Z-
dc.date.available2016-11-10T08:40:57Z-
dc.date.issued2016-
dc.identifier.citationBach, V.; Fassbender, H. (Ed.). Proceedings in Applied Mathematics and Mechanics, WILEY-VCH Verlag,p. 845-846-
dc.identifier.issn1617-7061-
dc.identifier.urihttp://hdl.handle.net/1942/22575-
dc.description.abstractDiscretizing 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.-
dc.language.isoen-
dc.publisherWILEY-VCH Verlag-
dc.relation.ispartofseriesProceedings in Applied Mathematics and Mechanics-
dc.rightsCopyright © 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim-
dc.subject.otherhybridized discontinuous Galerkin method; hierarchical scale separation-
dc.titleAn efficient linear solver for the hybridized discontinuous Galerkin method-
dc.typeProceedings Paper-
local.bibliographicCitation.authorsBach, V.-
local.bibliographicCitation.authorsFassbender, H.-
local.bibliographicCitation.conferencedate7 - 11 March 2016-
local.bibliographicCitation.conferencenameJoint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV)-
local.bibliographicCitation.conferenceplaceBraunschweig, Germany-
dc.identifier.epage846-
dc.identifier.issue1-
dc.identifier.spage845-
dc.identifier.volume16-
local.bibliographicCitation.jcatC1-
dc.relation.references[1] V. Aizinger, D. Kuzmin, and L. Korous. Scale separation in fast hierarchical solvers for discontinuous Galerkin methods. Applied Mathematics and Computation, 266:838–849, 2015. [2] B. Cockburn and C. W. Shu. Runge-Kutta discontinuous Galerkin methods for convection-dominated problems. Journal of Scientific Computing, 16:173–261, 2001. [3] Bernardo Cockburn, Jayadeep Gopalakrishnan, and Raytcho Lazarov. Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. SIAM Journal on Numerical Analysis, 47:1319–1365, 2009. [4] H. Egger and J. Schöberl. A hybrid mixed discontinuous Galerkin Finite Element method for convection-diffusion problems. IMA Journal of Numerical Analysis, 30:1206–1234, 2010. [5] W.H. Reed and T.R. Hill. Triangular mesh methods for the neutron transport equation. Technical report, Los Alamos Scientific Laboratory, 1973. [6] J. Schütz and V. Aizinger. A hierarchical scale separation approach for the hybridized discontinuous Galerkin method. IGPM Preprint Nr. 439, 2015. [7] M. Woopen, A. Balan, G. May, and J. Schütz. A comparison of hybridized and standard DG methods for target-based hp-adaptive simulation of compressible flow. Computers and Fluids, 98:3–16, 2014.-
local.type.refereedRefereed-
local.type.specifiedProceedings Paper-
local.relation.ispartofseriesnr16-
dc.identifier.doi10.1002/pamm.201610411-
local.bibliographicCitation.btitleProceedings in Applied Mathematics and Mechanics-
item.fullcitationJAUST, Alexander; SCHUETZ, Jochen & Aizinger, Vadym (2016) An efficient linear solver for the hybridized discontinuous Galerkin method. In: Bach, V.; Fassbender, H. (Ed.). Proceedings in Applied Mathematics and Mechanics, WILEY-VCH Verlag,p. 845-846.-
item.contributorJAUST, Alexander-
item.contributorSCHUETZ, Jochen-
item.contributorAizinger, Vadym-
item.fulltextWith Fulltext-
item.accessRightsOpen Access-
Appears in Collections:Research publications
Files in This Item:
File Description SizeFormat 
Jaust_et_al-2016-PAMM.pdf
  Restricted Access		Published version495.37 kBAdobe PDFView/Open    Request a copy
accepted_paper_PAMM.pdfPeer-reviewed author version473.5 kBAdobe PDFView/Open
Show simple item record

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.