Publication Details

The Semi-smooth Newton Method for Solving the Stokes Flow Under the Leak Boundary Condition

KUČERA Radek, MOTYČKOVÁ Kristina, ŠÁTEK Václav, HASLINGER Jaroslav and SASSI Taoufik. The Semi-smooth Newton Method for Solving the Stokes Flow Under the Leak Boundary Condition. In: 16th International Conference of Numerical Analysis and Applied Mathematics. Rhodes, 2019, pp. 1-4. ISSN 0094-243X. Available from: https://doi.org/10.1063/1.5114330
Type
conference paper
Language
english
Authors
Kučera Radek, prof. RNDr., Ph.D. (VŠB-TUO)
Motyčková Kristina, Mgr., Ph.D. (VŠB-TUO)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Haslinger Jaroslav (CUNI)
Sassi Taoufik, prof. (University of Caen Normandy)
URL
Keywords

Stokes problem, leak boundary condition, optimization problem

Abstract

The article deals with the Stokes flow under the leak boundary conditions. The problem is discretized using the mixed
finite element approximation and solved as algebraic optimization problem. The respective optimality conditions are the starting point for the algorithm based on an active set implementation of the semi-smooth Newton method. Numerical experiments compare performance of the algorithm with the path-following interior point method.

Published
2019
Pages
1-4
Journal
AIP Conference Proceedings - American Institute of Physics, ISSN 0094-243X
Proceedings
16th International Conference of Numerical Analysis and Applied Mathematics
Conference
16th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, GR
Publisher
American Institute of Physics
Place
Rhodes, GR
DOI
10.1063/1.5114330
UT WoS
000521108600321
EID Scopus
2-s2.0-85069964245
BibTeX 
@INPROCEEDINGS{FITPUB11798,
   author = "Radek Ku\v{c}era and Kristina Moty\v{c}kov\'{a} and V\'{a}clav \v{S}\'{a}tek and Jaroslav Haslinger and Taoufik Sassi",
   title = "The Semi-smooth Newton Method for Solving the Stokes Flow Under the Leak Boundary Condition",
   pages = "1--4",
   booktitle = "16th International Conference of Numerical Analysis and Applied Mathematics",
   journal = "AIP Conference Proceedings - American Institute of Physics",
   year = 2019,
   location = "Rhodes, GR",
   ISSN = "0094-243X",
   doi = "10.1063/1.5114330",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/11798"
}
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