Total FETI method and singular matrices in engineering problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F12%3A86084325" target="_blank" >RIV/61989100:27240/12:86084325 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/12:86084325
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Total FETI method and singular matrices in engineering problems
Original language description
Scalable implementation of FETI methods applied to engineering problems requires an efficient application of a direct method for solving a system of linear equations with a symmetric positive semidefinite matrix A. The direct solver is usually based on triangular decomposition of a nonsingular diagonal block AJJ of the stiffness matrix A of a subdomain and an effective evaluation of the action of a generalized inverse of the corresponding Schur complement. Here we review our results which address both problems. We present a procedure which first identifies a well-conditioned positive definite diagonal block AJJ of A, then decomposes AJJ by the Cholesky decomposition, and finally evaluates a generalized inverse of the Schur complement S of AJJ. The Schur complement S is typically very small, so the generalized inverse can be effectively evaluated by the SVD. If the rank of A or a lower bound on the nonzero eigenvalues of A are known, then the SVD can be implemented without any "epsilon"
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/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
ISBN
978-3-9503537-0-9
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
5411-5419
Publisher name
Vienna University of Technology
Place of publication
Vienna
Event location
Vídeň
Event date
Sep 10, 2012
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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