Reorthogonalization-based stiffness preconditioning in FETI algorithms with applications to variational inequalities
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F15%3A86096218" target="_blank" >RIV/61989100:27240/15:86096218 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/15:86096218
Result on the web
<a href="http://onlinelibrary.wiley.com/doi/10.1002/nla.1994/abstract" target="_blank" >http://onlinelibrary.wiley.com/doi/10.1002/nla.1994/abstract</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/nla.1994" target="_blank" >10.1002/nla.1994</a>
Alternative languages
Result language
angličtina
Original language name
Reorthogonalization-based stiffness preconditioning in FETI algorithms with applications to variational inequalities
Original language description
A cheap symmetric stiffness-based preconditioning of the Hessian of the dual problem arising from the application of the finite element tearing and interconnecting domain decomposition to the solution of variational inequalities with varying coefficientsis proposed. The preconditioning preserves the structure of the inequality constraints and affects both the linear and nonlinear steps, so that it can improve the rate of convergence of the algorithms that exploit the conjugate gradient steps or the gradient projection steps. The bounds on the regular condition number of the Hessian of the preconditioned problem, which are independent of the coefficients, are given. The related stiffness scaling is also considered and analysed. The improvement is demonstrated by numerical experiments including the solution of a contact problem with variationally consistent discretization of the non-penetration conditions. The results are relevant also for linear problems.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Numerical Linear Algebra with Applications
ISSN
1070-5325
e-ISSN
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Volume of the periodical
22
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
987-998
UT code for WoS article
000368371500006
EID of the result in the Scopus database
2-s2.0-84955188201