Publication Details

The Stokes Flow with Friction

KUČERA Radek, ŠÁTEK Václav, JAROŠOVÁ Marta and KOZUBEK Tomáš. The Stokes Flow with Friction. In: 12th International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2014, pp. 1-4. ISBN 978-0-7354-1287-3. ISSN 0094-243X. Available from: http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4913029
Type
conference paper
Language
english
Authors
Kučera Radek, prof. RNDr., Ph.D. (VŠB-TUO)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Jarošová Marta (VŠB-TUO)
Kozubek Tomáš (VŠB-TUO)
URL
Keywords

Stokes Problem, Slip Boundary Condition, Active Set Algorithm, Interior Point Method

Abstract

Efficient methods for solving the Stokes problem with a friction effect simulated by the slip boundary condition
are developed. The dual formulation of the problem arising from the finite element approximation leads to the minimization
of the strictly quadratic function with few unknowns constrained by simple bounds. Two solution algorithms highly efficient
in contact solid mechanics are tested: the active set strategy and the path-following variant of the interior point method.
Numerical experiments conclude the paper.

Published
2014
Pages
1-4
Journal
AIP Conference Proceedings - American Institute of Physics, vol. 2015, no. 1648, ISSN 0094-243X
Proceedings
12th International Conference of Numerical Analysis and Applied Mathematics
Conference
12th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, GR
ISBN
978-0-7354-1287-3
Publisher
American Institute of Physics
Place
Rhodes, GR
DOI
10.1063/1.4913029
UT WoS
000355339705026
BibTeX 
@INPROCEEDINGS{FITPUB10796,
   author = "Radek Ku\v{c}era and V\'{a}clav \v{S}\'{a}tek and Marta Jaro\v{s}ov\'{a} and Tom\'{a}\v{s} Kozubek",
   title = "The Stokes Flow with Friction",
   pages = "1--4",
   booktitle = "12th International Conference of Numerical Analysis and Applied Mathematics",
   journal = "AIP Conference Proceedings - American Institute of Physics",
   volume = 2015,
   number = 1648,
   year = 2014,
   location = "Rhodes, GR",
   publisher = "American Institute of Physics",
   ISBN = "978-0-7354-1287-3",
   ISSN = "0094-243X",
   doi = "10.1063/1.4913029",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/10796"
}
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