About: Scalable total BETI based solver for 3D multibody frictionless contact problems in mechanical engineering     Goto   Sponge   NotDistinct   Permalink

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Description
  • A total BETI (TBETI) based domain decomposition algorithm with the preconditioning by a natural coarse grid of the rigid body motions is adapted for the solution of multibody frictionless contact problems of linear elastostatics and proved to be scalable, i.e., the cost of the solution is asymptotically proportional to the number of variables. The analysis admits floating bodies. The proofs combine the original results by Langer and Steinbach on the scalability of BETI for linear problems and our development of optimal quadratic programming algorithms for bound and equality constrained problems. The theoretical results are verified by numerical experiments. The power of the method is demonstrated on the analysis of ball bearings.
  • A total BETI (TBETI) based domain decomposition algorithm with the preconditioning by a natural coarse grid of the rigid body motions is adapted for the solution of multibody frictionless contact problems of linear elastostatics and proved to be scalable, i.e., the cost of the solution is asymptotically proportional to the number of variables. The analysis admits floating bodies. The proofs combine the original results by Langer and Steinbach on the scalability of BETI for linear problems and our development of optimal quadratic programming algorithms for bound and equality constrained problems. The theoretical results are verified by numerical experiments. The power of the method is demonstrated on the analysis of ball bearings. (en)
Title
  • Scalable total BETI based solver for 3D multibody frictionless contact problems in mechanical engineering
  • Scalable total BETI based solver for 3D multibody frictionless contact problems in mechanical engineering (en)
skos:prefLabel
  • Scalable total BETI based solver for 3D multibody frictionless contact problems in mechanical engineering
  • Scalable total BETI based solver for 3D multibody frictionless contact problems in mechanical engineering (en)
skos:notation
  • RIV/61989100:27240/11:86076099!RIV12-GA0-27240___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/07/0294), Z(MSM6198910027)
http://linked.open...iv/cisloPeriodika
  • 3
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
  • 228196
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27240/11:86076099
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Floating bodies; Scalability; BETI; Domain decomposition; Multibody contact problems; Boundary elements (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [A9C54B984CCA]
http://linked.open...i/riv/nazevZdroje
  • ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
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
  • 35
http://linked.open...iv/tvurceVysledku
  • Dostál, Zdeněk
  • Kozubek, Tomáš
  • Markopoulos, Alexandros
  • Bouchala, Jiří
  • Sadowská, Marie
http://linked.open...ain/vavai/riv/wos
  • 000286783700010
http://linked.open...n/vavai/riv/zamer
issn
  • 0955-7997
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.enganabound.2010.09.015
http://localhost/t...ganizacniJednotka
  • 27240
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