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Description
| - A Total FETI (TFETI) based domain decomposition algorithm with preconditioning by a natural coarse grid of the rigid body motions is adapted to the solution of contact problems of elasticity in 2D and 3D and proved to be scalable for coercive problems. Thus for the problems with prescribed displacements that are sufficient to prevent the bodies from ``floating'', our algorithm finds an approximate solution at the cost asymptotically proportional to the number of variables provided the ratio of the decomposition parameter and the discretization parameter is bounded. The analysis is based on the classical results by Farhat, Mandel, and Roux on scalability of FETI with a natural coarse grid for linear problems and on our development of optimal quadratic programming algorithms for bound and equality constrained problems. The algorithm preserves parallel scalability of the classical FETI method. Both theoretical results and numerical experiments indicate a high efficiency of our algorithm.
- A Total FETI (TFETI) based domain decomposition algorithm with preconditioning by a natural coarse grid of the rigid body motions is adapted to the solution of contact problems of elasticity in 2D and 3D and proved to be scalable for coercive problems. Thus for the problems with prescribed displacements that are sufficient to prevent the bodies from ``floating'', our algorithm finds an approximate solution at the cost asymptotically proportional to the number of variables provided the ratio of the decomposition parameter and the discretization parameter is bounded. The analysis is based on the classical results by Farhat, Mandel, and Roux on scalability of FETI with a natural coarse grid for linear problems and on our development of optimal quadratic programming algorithms for bound and equality constrained problems. The algorithm preserves parallel scalability of the classical FETI method. Both theoretical results and numerical experiments indicate a high efficiency of our algorithm. (en)
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Title
| - Scalable TFETI algorithm for the solution of multibody contact problems of elasticity
- Scalable TFETI algorithm for the solution of multibody contact problems of elasticity (en)
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skos:prefLabel
| - Scalable TFETI algorithm for the solution of multibody contact problems of elasticity
- Scalable TFETI algorithm for the solution of multibody contact problems of elasticity (en)
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skos:notation
| - RIV/61989100:27230/10:86075323!RIV11-GA0-27230___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GA201/07/0294), Z(MSM6198910027)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/61989100:27230/10:86075323
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - scalability; coercive contact problem; natural coarse grid; Domain decomposition (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - GB - Spojené království Velké Británie a Severního Irska
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Brzobohatý, Tomáš
- Dostál, Zdeněk
- Kozubek, Tomáš
- Markopoulos, Alexandros
- Vondrák, Vít
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http://linked.open...ain/vavai/riv/wos
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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is http://linked.open...avai/riv/vysledek
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