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  • Finite Element Tearing and Interconecting (FETI) methods are powerful tool for solving various problems from practice, e.g. solid mechanics, shape optimization, contact problems, fluid dynamics etc. For parallel implementation of FETI methods, we need some general tool to decompose the given problem into prescribed number of sub-domains. For successful solving of the resulting problem it is essential that all sub-domains are simply connected and the decomposition is of high-quality. In case of floating structure, domain decomposition is also used for detection of 'fixing nodes' that stabilize the evaluating of the action of a generalized inverse. Thus, traditional solvers based on Cholesky decomposition can be adapted to solve the symmetric positive semi-definite system of linear equations by recognition of zero rows or columns and also by setting up a well conditioned regular sub-matrix of the problem. The best position of 'fixing nodes' is such that the structure is as stiff as possible. Finding the set of 'fixing nodes' can be solved by graph approach. Civil-Comp Press, 2009.
  • Finite Element Tearing and Interconecting (FETI) methods are powerful tool for solving various problems from practice, e.g. solid mechanics, shape optimization, contact problems, fluid dynamics etc. For parallel implementation of FETI methods, we need some general tool to decompose the given problem into prescribed number of sub-domains. For successful solving of the resulting problem it is essential that all sub-domains are simply connected and the decomposition is of high-quality. In case of floating structure, domain decomposition is also used for detection of 'fixing nodes' that stabilize the evaluating of the action of a generalized inverse. Thus, traditional solvers based on Cholesky decomposition can be adapted to solve the symmetric positive semi-definite system of linear equations by recognition of zero rows or columns and also by setting up a well conditioned regular sub-matrix of the problem. The best position of 'fixing nodes' is such that the structure is as stiff as possible. Finding the set of 'fixing nodes' can be solved by graph approach. Civil-Comp Press, 2009. (en)
Title
  • Effective algorithms for implementation of FETI-based domain decomposition methods
  • Effective algorithms for implementation of FETI-based domain decomposition methods (en)
skos:prefLabel
  • Effective algorithms for implementation of FETI-based domain decomposition methods
  • Effective algorithms for implementation of FETI-based domain decomposition methods (en)
skos:notation
  • RIV/61989100:27240/09:86084932!RIV13-GA0-27240___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA101/08/0574), Z(MSM6198910027)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 312335
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  • RIV/61989100:27240/09:86084932
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Total FETI; Semidefinite matrices; Perron vector; Generalized inverse; Fixing nodes; Cholesky decomposition (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [5E99B46F13E2]
http://linked.open...v/mistoKonaniAkce
  • Funchal
http://linked.open...i/riv/mistoVydani
  • Kippen, Stirlingshire
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the 12th International Conference on Civil, Structural and Environmental Engineering Computing
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http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Brzobohatý, Tomáš
  • Kozubek, Tomáš
  • Markopoulos, Alexandros
  • Kabelíková, Pavla
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Civil-Comp Press
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  • 978-1-905088-30-0
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  • 27240
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