Publication Details

Preconditioning in the path-following algorithm for the Stokes flow with stick-slip conditions

JAROŠOVÁ Marta, KUČERA Radek and ŠÁTEK Václav. Preconditioning in the path-following algorithm for the Stokes flow with stick-slip conditions. In: 16th Czech-Polish Conference Modern Mathematical Methods in Engineering (3mi). Rybnik, 2017, pp. 274-285. ISBN 978-83-65265-14-2. ISSN 2391-9361.
Type
conference paper
Language
english
Authors
Jarošová Marta (VŠB-TUO)
Kučera Radek, prof. RNDr., Ph.D. (VŠB-TUO)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Abstract
The Stokes problem with the stick-slip boundary condition is solved by the mixed finite element method combined with the TFETI method.
An interior point method for the minimization subject to box and equality constraints is used. The preconditioned projected conjugate gradient
method solves the inner linear systems. The preconditioners are tested experimentally. The aim of our research is to develop efficient solvers
for modelling of a flow over hydrophobic walls that exhibits applications in engineering areas including biomedical modelling or transport of fluid.
Published
2017
Pages
274-285
Journal
Systemy Wspomagania w Inżynierii Produkcji, vol. 6, no. 4, ISSN 2391-9361
Proceedings
16th Czech-Polish Conference Modern Mathematical Methods in Engineering (3mi)
Conference
Modern Mathematical Methods in Engineeering, Rybnik, PL
ISBN
978-83-65265-14-2
Publisher
Publisher PA NOVA SA
Place
Rybnik, PL
BibTeX
@INPROCEEDINGS{FITPUB11403,
   author = "Marta Jaro\v{s}ov\'{a} and Radek Ku\v{c}era and V\'{a}clav \v{S}\'{a}tek",
   title = "Preconditioning in the path-following algorithm for the Stokes flow with stick-slip conditions",
   pages = "274--285",
   booktitle = "16th Czech-Polish Conference Modern Mathematical Methods in Engineering (3mi)",
   journal = "Systemy Wspomagania w In\'{z}ynierii Produkcji",
   volume = 6,
   number = 4,
   year = 2017,
   location = "Rybnik, PL",
   ISBN = "978-83-65265-14-2",
   ISSN = "2391-9361",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/11403"
}
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