Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin, Rheinbach, Oliver and Weber, Janine (2019). PRECONDITIONING THE COARSE PROBLEM OF BDDC METHODS-THREE-LEVEL, ALGEBRAIC MULTIGRID, AND VERTEX-BASED PRECONDITIONERS. Electron. Trans. Numer. Anal., 51. S. 432 - 451. KENT: KENT STATE UNIVERSITY. ISSN 1068-9613

Full text not available from this repository.

Abstract

A comparison of three Balancing Domain Decomposition by Constraints (BDDC) methods with an approximate coarse space solver using the same software building blocks is attempted for the first time. The comparison is made for a BDDC method with an algebraic multigrid preconditioner for the coarse problem, a three-level BDDC method, and a BDDC method with a vertex-based coarse preconditioner. It is new that all methods are presented and discussed in a common framework. Condition number bounds are provided for all approaches. All methods are implemented in a common highly parallel scalable BDDC software package based on PETSc to allow for a simple and meaningful comparison. Numerical results showing the parallel scalability are presented for the equations of linear elasticity. For the first time, this includes parallel scalability tests for a vertex-based approximate BDDC method.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Klawonn, AxelUNSPECIFIEDorcid.org/0000-0003-4765-7387UNSPECIFIED
Lanser, MartinUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Rheinbach, OliverUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Weber, JanineUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-160111
DOI: 10.1553/etna_vol51s432
Journal or Publication Title: Electron. Trans. Numer. Anal.
Volume: 51
Page Range: S. 432 - 451
Date: 2019
Publisher: KENT STATE UNIVERSITY
Place of Publication: KENT
ISSN: 1068-9613
Language: English
Faculty: Central Institutions / Interdisciplinary Research Centers
Divisions: Weitere Institute, Arbeits- und Forschungsgruppen > Center for Data and Simulation Science (CDS)
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
DOMAIN DECOMPOSITION METHODS; FETI-DP; PARALLELMultiple languages
Mathematics, AppliedMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/16011

Downloads

Downloads per month over past year

Altmetric

Export

Actions (login required)

View Item View Item