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  • Being concerned with a semicoercive 2D contact model problem, we firstly decompose the domain into disjunct subdomains and then we use the symmetric representation of the local Steklov - Poincaré operator to get the weak formulation of our problem in the form of variational inequality. After a suitable approximation of the Steklov - Poincaré operator, we use the Ritz method to obtain the quadratic programming problem with both equality and inequality constraints. We further switch to the dual problem and in order to improve the conditioning, we apply the so-called natural coarse grid. The resulting quadratic programming problem with bound and equality constraints is numerically solved by an algorithm based on semimonotonic augmented Lagrangians. Finally, we present experiments indicating the numerical scalability of the algorithm.
  • Being concerned with a semicoercive 2D contact model problem, we firstly decompose the domain into disjunct subdomains and then we use the symmetric representation of the local Steklov - Poincaré operator to get the weak formulation of our problem in the form of variational inequality. After a suitable approximation of the Steklov - Poincaré operator, we use the Ritz method to obtain the quadratic programming problem with both equality and inequality constraints. We further switch to the dual problem and in order to improve the conditioning, we apply the so-called natural coarse grid. The resulting quadratic programming problem with bound and equality constraints is numerically solved by an algorithm based on semimonotonic augmented Lagrangians. Finally, we present experiments indicating the numerical scalability of the algorithm. (en)
Title
  • Solving 2D Contact Problem by Boundary Element Tearing and Interconnecting Method
  • Solving 2D Contact Problem by Boundary Element Tearing and Interconnecting Method (en)
skos:prefLabel
  • Solving 2D Contact Problem by Boundary Element Tearing and Interconnecting Method
  • Solving 2D Contact Problem by Boundary Element Tearing and Interconnecting Method (en)
skos:notation
  • RIV/61989100:27240/07:00015142!RIV11-MSM-27240___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6198910027)
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
  • 450988
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27240/07:00015142
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • domain decomposition, boundary elements, variational inequality, scalability, BETI (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [11F6AB4CDCC3]
http://linked.open...v/mistoKonaniAkce
  • Durham
http://linked.open...i/riv/mistoVydani
  • Durham
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the 6th UK Conference on Boundary Integral Method
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Dostál, Zdeněk
  • Bouchala, Jiří
  • Sadowská, Marie
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Durham University
https://schema.org/isbn
  • 978-0-9535558-3-3
http://localhost/t...ganizacniJednotka
  • 27240
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