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Description
  • We review our results related to the development of theoretically supported scalable algorithms for the solution of large scale contact problems of elasticity. The algorithms combine the Total FETI/BETI based domain decomposition method adapted to the solution of 2D and 3D multibody contact problems of elasticity, both frictionless and with friction, with our in a sense optimal algorithms for the solution of resulting quadratic programming and QPQC problems. Rather surprisingly, the theoretical results are qualitatively the same as the classical results on scalability of FETI/BETI for linear elliptic problems. The efficiency of the method is demonstrated by results of parallel numerical experiments for contact problems of linear elasticity discretized by more than 11 million variables in 3D and 40 million variables in 2D
  • We review our results related to the development of theoretically supported scalable algorithms for the solution of large scale contact problems of elasticity. The algorithms combine the Total FETI/BETI based domain decomposition method adapted to the solution of 2D and 3D multibody contact problems of elasticity, both frictionless and with friction, with our in a sense optimal algorithms for the solution of resulting quadratic programming and QPQC problems. Rather surprisingly, the theoretical results are qualitatively the same as the classical results on scalability of FETI/BETI for linear elliptic problems. The efficiency of the method is demonstrated by results of parallel numerical experiments for contact problems of linear elasticity discretized by more than 11 million variables in 3D and 40 million variables in 2D (en)
Title
  • Scalable domain decomposition algorithms for contact problems: theory, numerical experiments, and real world problems
  • Scalable domain decomposition algorithms for contact problems: theory, numerical experiments, and real world problems (en)
skos:prefLabel
  • Scalable domain decomposition algorithms for contact problems: theory, numerical experiments, and real world problems
  • Scalable domain decomposition algorithms for contact problems: theory, numerical experiments, and real world problems (en)
skos:notation
  • RIV/61989100:27230/13:86088838!RIV14-GA0-27230___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/07/0294), S, Z(MSM6198910027)
http://linked.open...iv/cisloPeriodika
  • 2013
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 104035
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27230/13:86088838
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Scalable algorithms; Real-world problem; Optimal algorithm; Numerical experiments; Multi-body contact problem; Linear elasticity; Elliptic problem; Domain decomposition algorithms (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [D491D12C575E]
http://linked.open...i/riv/nazevZdroje
  • Lecture Notes in Computational Science and Engineering. Volume 91
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 91
http://linked.open...iv/tvurceVysledku
  • Brzobohatý, Tomáš
  • Dostál, Zdeněk
  • Kozubek, Tomáš
  • Markopoulos, Alexandros
  • Vondrák, Vít
  • Sadowská, Marie
http://linked.open...n/vavai/riv/zamer
issn
  • 1439-7358
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-642-35275-1_4
http://localhost/t...ganizacniJednotka
  • 27230
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