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  • The paper deals with a variant of the interior-point method for the minimization of strictly quadratic objective function subject to simple bounds and separable quadratic inequality constraints. Such minimizations arise from the finite element approximation of contact problems of linear elasticity with friction in three space dimensions. The main goal of the paper is the convergence analysis of the algorithm and its implementation. The optimal preconditioners for solving ill-conditioned inner linear systems are proposed. Numerical experiments illustrate the computational efficiency for large scale problems.
  • The paper deals with a variant of the interior-point method for the minimization of strictly quadratic objective function subject to simple bounds and separable quadratic inequality constraints. Such minimizations arise from the finite element approximation of contact problems of linear elasticity with friction in three space dimensions. The main goal of the paper is the convergence analysis of the algorithm and its implementation. The optimal preconditioners for solving ill-conditioned inner linear systems are proposed. Numerical experiments illustrate the computational efficiency for large scale problems. (en)
Title
  • An interior-point algorithm for the minimization arising from 3D contact problems with fiction
  • An interior-point algorithm for the minimization arising from 3D contact problems with fiction (en)
skos:prefLabel
  • An interior-point algorithm for the minimization arising from 3D contact problems with fiction
  • An interior-point algorithm for the minimization arising from 3D contact problems with fiction (en)
skos:notation
  • RIV/61989592:15310/13:33142075!RIV14-MSM-15310___
http://linked.open...avai/riv/aktivita
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  • S
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  • 6
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  • 60386
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  • RIV/61989592:15310/13:33142075
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  • friction; contact problems; preconditioners; convergence; interior-point algorithm (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [8577A1FF66D7]
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  • Optimization Methods and Software
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  • 28
http://linked.open...iv/tvurceVysledku
  • Kučera, Radek
  • Machalová, Jitka
  • Netuka, Horymír
  • Ženčák, Pavel
http://linked.open...ain/vavai/riv/wos
  • 000325514100003
issn
  • 1055-6788
number of pages
http://bibframe.org/vocab/doi
  • 10.1080/10556788.2012.684352
http://localhost/t...ganizacniJednotka
  • 15310
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