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Stokes system with local Coulomb's slip boundary conditions: Analysis of discretized models and implementation

HASLINGER Jaroslav, KUČERA Radek and ŠÁTEK Václav. Stokes system with local Coulomb's slip boundary conditions: Analysis of discretized models and implementation. Computers and Mathematics with Applications, vol. 2019, no. 77, pp. 1655-1667. ISSN 0898-1221. Available from: https://doi.org/10.1016/j.camwa.2018.04.032
Czech title
Stokesova úloha s Coulombovským prokluzem: Analýza diskretizačního modelu a implementace
Type
journal article
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 system, Threshold slip conditions, Coulombs slip, Semismooth Newton method, Interior point method
Abstract
The theoretical part of the paper analyzes discretized Stokes systems with local Coulombs slip boundary conditions. Solutions to discrete models are defined by means of fixed-points of an appropriate mapping. We prove the existence of a fixed-point, establish conditions guaranteeing its uniqueness and examine how they depend on the discretization parameter
h and the slip coefficient . The second part of the paper is devoted to computational aspects. Numerical experiments are presented.
Published
2019
Pages
1655-1667
Journal
Computers and Mathematics with Applications, vol. 2019, no. 77, ISSN 0898-1221
DOI
BibTeX
@ARTICLE{FITPUB11744,
   author = "Jaroslav Haslinger and Radek Ku\v{c}era and V\'{a}clav \v{S}\'{a}tek",
   title = "Stokes system with local Coulomb's slip boundary conditions: Analysis of discretized models and implementation",
   pages = "1655--1667",
   journal = "Computers and Mathematics with Applications",
   volume = 2019,
   number = 77,
   year = 2019,
   ISSN = "0898-1221",
   doi = "10.1016/j.camwa.2018.04.032",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/11744"
}
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