Stochastic subspace correction methods and fault tolerance
Stochastic subspace correction methods and fault tolerance
Dokument öffnen (822KB)Datum der Veröffentlichung
07.2018Verlag / herausgebende Einrichtung
Institut für Numerische Simulation (INS)Verlagsort
BonnMetadaten
Zur Langanzeige
Zitierbarer Link (Handle URI) 
https://hdl.handle.net/20.500.11811/11811
Inhalt
We present convergence results in expectation for stochastic subspace correction schemes and their accelerated versions to solve symmetric positive-definite variational problems, and discuss their potential for achieving fault tolerance in an unreliable compute network. We employ the standard overlapping domain decomposition algorithm for PDE discretizations to discuss the latter aspect.
Schlagwörter
subspace correction, Schwarz iterative methods, randomization, convergence rates, fault tolerance
Klassifikation (DDC)
510 Mathematik 518 Numerische AnalysisErstpublikation
https://ins.uni-bonn.de/publication/preprintsZugehörige Publikation(en)
https://doi.org/10.1090/mcom/3459Reihe, Nummer
INS Preprints ; 1809Griebel, Michael; Oswald, Peter: Stochastic subspace correction methods and fault tolerance. In: INS Preprints, 1809.
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11811
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11811
@unpublished{handle:20.500.11811/11811,
author = {{Michael Griebel} and {Peter Oswald}},
title = {Stochastic subspace correction methods and fault tolerance},
publisher = {Institut für Numerische Simulation (INS)},
year = 2018,
month = jul,
INS Preprints},
volume = 1809,
note = {We present convergence results in expectation for stochastic subspace correction schemes and their accelerated versions to solve symmetric positive-definite variational problems, and discuss their potential for achieving fault tolerance in an unreliable compute network. We employ the standard overlapping domain decomposition algorithm for PDE discretizations to discuss the latter aspect.},
url = {https://hdl.handle.net/20.500.11811/11811}
}
author = {{Michael Griebel} and {Peter Oswald}},
title = {Stochastic subspace correction methods and fault tolerance},
publisher = {Institut für Numerische Simulation (INS)},
year = 2018,
month = jul,
INS Preprints},
volume = 1809,
note = {We present convergence results in expectation for stochastic subspace correction schemes and their accelerated versions to solve symmetric positive-definite variational problems, and discuss their potential for achieving fault tolerance in an unreliable compute network. We employ the standard overlapping domain decomposition algorithm for PDE discretizations to discuss the latter aspect.},
url = {https://hdl.handle.net/20.500.11811/11811}
}
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