Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Rajamanickam, Sivasankaran and Rheinbach, Oliver (2018). FROSch: A Fast And Robust Overlapping Schwarz Domain Decomposition Preconditioner Based on Xpetra in Trilinos. Technical Report.

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Abstract

A parallel two-level overlapping Schwarz domain decomposition preconditioner has been integrated into the Trilinos ShyLU-package. The preconditioner uses an energy-minimizing coarse space and can be constructed from an assembled sparse matrix. The software implements variants of the two-level overlapping Schwarz method from [Dohrmann, Klawonn, Widlund, SINUM 2008], where it was denoted Generalized Dryja, Smith, Widlund (GDSW). The implementation is based on [Heinlein, Klawonn, Rheinbach, SISC 2016] but has been improved significantly with respect to efficiency, generality, e.g., for the use of Tpetra instead of Epetra matrices, and its interface.

Item Type: Monograph (Technical Report)
Creators:
Creators
Email
ORCID
ORCID Put Code
Heinlein, Alexander
alexander.heinlein@uni-koeln.de
UNSPECIFIED
UNSPECIFIED
Klawonn, Axel
axel.klawonn@uni-koeln.de
https://orcid.org/0000-0003-4765-7387
UNSPECIFIED
Rajamanickam, Sivasankaran
srajama@sandia.gov
UNSPECIFIED
UNSPECIFIED
Rheinbach, Oliver
oliver.rheinbach@math.tu-freiberg.de
UNSPECIFIED
UNSPECIFIED
URN: urn:nbn:de:hbz:38-90188
Series Name at the University of Cologne: Technical report series. Center for Data and Simulation Science
Volume: 2018,9
Date: 16 November 2018
Language: English
Faculty: Central Institutions / Interdisciplinary Research Centers
Divisions: Weitere Institute, Arbeits- und Forschungsgruppen > Center for Data and Simulation Science (CDS)
Subjects: Mathematics
Technology (Applied sciences)
Uncontrolled Keywords:
Keywords
Language
GDSW
English
reduced dimension coarse space
English
scientific software
English
parallel software
English
two-level Schwarz preconditioner
English
URI: http://kups.ub.uni-koeln.de/id/eprint/9018

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