Publication Details

The Semi-smooth Newton Method for Solving the Stokes Flow with Coulomb Slip Boundary Conditions

HASLINGER Jaroslav, KUČERA Radek and ŠÁTEK Václav. The Semi-smooth Newton Method for Solving the Stokes Flow with Coulomb Slip Boundary Conditions. In: 16th International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2019, pp. 1-4. ISSN 0094-243X. Available from: https://doi.org/10.1063/1.5114325
Czech title
Řešení Stokesovy úlohy s Coulombovským prokluzem semihladkou Newtonovou metodou
Type
conference paper
Language
english
Authors
Haslinger Jaroslav (CUNI)
Kučera Radek, prof. RNDr., Ph.D. (VŠB-TUO)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
URL
Keywords

Stokes problem, Coulomb slip boundary condition, semi-smooth Newton method

Abstract

This contribution deals with the numerical realization of the Stokes system involving the local Coulomb slip boundary conditions. The algebraic formulation arising from a finite element approximation leads to a non-smooth system of algebraic equations which is solved by the semi-smooth Newton method using the active/inactive set strategy. Results of a model example are presented.

Published
2019
Pages
1-4
Journal
AIP Conference Proceedings - American Institute of Physics, vol. 2116, no. 7, 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
10.1063/1.5114325
UT WoS
000521108600316
EID Scopus
2-s2.0-85069959387
BibTeX 
@INPROCEEDINGS{FITPUB11797,
   author = "Jaroslav Haslinger and Radek Ku\v{c}era and V\'{a}clav \v{S}\'{a}tek",
   title = "The Semi-smooth Newton Method for Solving the Stokes Flow with Coulomb Slip Boundary Conditions",
   pages = "1--4",
   booktitle = "16th International Conference of Numerical Analysis and Applied Mathematics",
   journal = "AIP Conference Proceedings - American Institute of Physics",
   volume = 2116,
   number = 7,
   year = 2019,
   location = "Rhodes, GR",
   publisher = "American Institute of Physics",
   ISSN = "0094-243X",
   doi = "10.1063/1.5114325",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/11797"
}
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