Scalabilities of FETI for Variational Inequalities and Contacet Shape Optimization
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F02%3A00006692" target="_blank" >RIV/61989100:27240/02:00006692 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Scalabilities of FETI for Variational Inequalities and Contacet Shape Optimization
Original language description
FETI based domain decomposition turned out to be an efficient tool for the solution of a number of engineering problems including those described by variational inequalities. Our basic algorithm [1,2] combines the active set strategy and augmented Lagrangians with application of the FETI algorithm proposed by Farhat and Roux to the solution of auxiliary linear problems. Starting from the discretized variational inequality, the problem is first reduced by duality to a strictly convex quadratic programming problem with simple bounds and possibly some general equality constraints. Then a variant of the augmented Lagrangian method is used for the solution of the resulting problem that is solved by the algorithm generating the approximations for Lagrange multipliers for the equality constraints in the outer loop while solving the auxiliary quadratic programming problems with simple bounds in the inner loop. The algorithm in the inner loop uses projections and adaptive precision control for
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA101%2F01%2F0538" target="_blank" >GA101/01/0538: Development and implementation of parallel algorithms for 3D contact problems with friction and contact shape optimization</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Domain Decomposition Methods in Science and Engineering
ISBN
84-95999-07-2
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
361-370
Publisher name
CIMNE
Place of publication
Barcelona
Event location
Lyon, France
Event date
Jan 1, 2000
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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