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  • 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 based domain decomposition method adapted to the solution of 2D and 3D frictionless multibody contact problems of elasticity with our in a sense optimal algorithms for the solution of resulting quadratic programming problems. Rather surprisingly, the theoretical results are qualitatively the same as the classical results on scalability of FETI for linear elliptic problems. The efficiency of the method is demonstrated by results of numerical experiments with parallel solution of 2D and 3D frictionless contact problems of elasticity.
  • 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 based domain decomposition method adapted to the solution of 2D and 3D frictionless multibody contact problems of elasticity with our in a sense optimal algorithms for the solution of resulting quadratic programming problems. Rather surprisingly, the theoretical results are qualitatively the same as the classical results on scalability of FETI for linear elliptic problems. The efficiency of the method is demonstrated by results of numerical experiments with parallel solution of 2D and 3D frictionless contact problems of elasticity. (en)
Title
  • Scalable TFETI algorithm for frictionless contact problems: Theory and real world problems
  • Scalable TFETI algorithm for frictionless contact problems: Theory and real world problems (en)
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  • Scalable TFETI algorithm for frictionless contact problems: Theory and real world problems
  • Scalable TFETI algorithm for frictionless contact problems: Theory and real world problems (en)
skos:notation
  • RIV/61989100:27230/13:86088184!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...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 104038
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  • RIV/61989100:27230/13:86088184
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  • Theoretical result; Scalable algorithms; Real-world problem; Quadratic programming problems; Parallel solutions; Optimal algorithm; Numerical experiments; Multi-body contact problem; Frictionless contacts; Elliptic problem; Contact problem (en)
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  • [4449981E6B56]
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  • Chania
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  • Heidelberg
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  • Lecture Notes in Applied and Computational Mechanics. Volume 56
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  • Brzobohatý, Tomáš
  • Dostál, Zdeněk
  • Kozubek, Tomáš
  • Markopoulos, Alexandros
  • Vondrák, Vít
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  • 000315535300008
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issn
  • 1613-7736
number of pages
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  • 10.1007/978-3-642-33968-4_8
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  • Springer-Verlag
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  • 978-3-642-33967-7
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  • 27230
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