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  • We combine the adaptive and multilevel approaches to the BDDC and formulate a method which allows an adaptive selection of constraints on each decomposition level. We also present a strategy for the solution of local eigenvalue problems in the adaptive algorithm using the LOBPCG method with a preconditioner based on standard components of the BDDC. The effectiveness of the method is illustrated on several engineering problems. It appears that the Adaptive-Multilevel BDDC algorithm is able to effectively detect troublesome parts on each decomposition level and improve convergence of the method. The developed open-source parallel implementation shows a good scalability as well as applicability to very large problems and core counts.
  • We combine the adaptive and multilevel approaches to the BDDC and formulate a method which allows an adaptive selection of constraints on each decomposition level. We also present a strategy for the solution of local eigenvalue problems in the adaptive algorithm using the LOBPCG method with a preconditioner based on standard components of the BDDC. The effectiveness of the method is illustrated on several engineering problems. It appears that the Adaptive-Multilevel BDDC algorithm is able to effectively detect troublesome parts on each decomposition level and improve convergence of the method. The developed open-source parallel implementation shows a good scalability as well as applicability to very large problems and core counts. (en)
Title
  • Adaptive-Multilevel BDDC and its parallel implementation
  • Adaptive-Multilevel BDDC and its parallel implementation (en)
skos:prefLabel
  • Adaptive-Multilevel BDDC and its parallel implementation
  • Adaptive-Multilevel BDDC and its parallel implementation (en)
skos:notation
  • RIV/61388998:_____/13:00423788!RIV14-GA0-61388998
http://linked.open...avai/riv/aktivita
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  • I, P(GA106/08/0403)
http://linked.open...iv/cisloPeriodika
  • 12
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  • 59503
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  • RIV/61388998:_____/13:00423788
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  • BDDC; parallel algorithms; domain decomposition (en)
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  • AT - Rakouská republika
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  • [4A8C9F2B80AA]
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  • Computing
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  • 95
http://linked.open...iv/tvurceVysledku
  • Mandel, J.
  • Sousedík, Bedřich
  • Šístek, Jakub
http://linked.open...ain/vavai/riv/wos
  • 000326885100001
issn
  • 0010-485X
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s00607-013-0293-5
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