Theoretically supported scalable BETI method for variational inequalities

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F08%3A00019178" target="_blank" >RIV/61989100:27240/08:00019178 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Theoretically supported scalable BETI method for variational inequalities

Original language description

The Boundary Element Tearing and Interconnecting (BETI) methods were recently introduced as boundary element counterparts of the well established Finite Element Tearing and Interconnecting (FETI) methods. Here we combine the BETI method preconditioned bythe projector to the 'natural coarse grid' with recently proposed optimal algorithms for the solution of bound and equality constrained quadratic programming problems in order to develop a theoretically supported scalable solver for elliptic multidomainboundary variational inequalities such as those describing the equilibrium of a system of bodies in mutual contact. The key observation is that the 'natural coarse grid' defines a subspace that contains the solution, so that the preconditioning affectsalso the nonlinear steps. The results are validated by numerical experiments.

Czech name

Theoretically supported scalable BETI method for variational inequalities

Czech description

The Boundary Element Tearing and Interconnecting (BETI) methods were recently introduced as boundary element counterparts of the well established Finite Element Tearing and Interconnecting (FETI) methods. Here we combine the BETI method preconditioned bythe projector to the 'natural coarse grid' with recently proposed optimal algorithms for the solution of bound and equality constrained quadratic programming problems in order to develop a theoretically supported scalable solver for elliptic multidomainboundary variational inequalities such as those describing the equilibrium of a system of bodies in mutual contact. The key observation is that the 'natural coarse grid' defines a subspace that contains the solution, so that the preconditioning affectsalso the nonlinear steps. The results are validated by numerical experiments.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2008

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Computing

ISSN

0010-485X

e-ISSN

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Volume of the periodical

82

Issue of the periodical within the volume

82

Country of publishing house

DE - GERMANY

Number of pages

23

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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