Publication Details

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

HASLINGER, J.; KUČERA, R.; ŠÁTEK, V. Stokes system with local Coulomb's slip boundary conditions: Analysis of discretized models and implementation. Computers and Mathematics with Applications, 2019, vol. 77, no. 6, p. 1655-1667. ISSN: 0898-1221.
Czech title
Stokesův systém s lokální Coulombovou skluzovou hraniční podmínkou: analýza diskrétních modelů a implementace
Type
journal article
Language
English
Authors
Haslinger Jaroslav
Kučera Radek, prof. RNDr., Ph.D.
Šátek Václav, Ing., Ph.D. (DITS)
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 Coulomb's 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 kappa. 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. 77, no. 6, ISSN 0898-1221
DOI
10.1016/j.camwa.2018.04.032
UT WoS
000462110600017
EID Scopus
2-s2.0-85047472666
BibTeX 
@article{BUT156018,
  author="Jaroslav {Haslinger} and Radek {Kučera} and Václav {Šátek}",
  title="Stokes system with local Coulomb's slip boundary conditions: Analysis of discretized models and implementation",
  journal="Computers and Mathematics with Applications",
  year="2019",
  volume="77",
  number="6",
  pages="1655--1667",
  doi="10.1016/j.camwa.2018.04.032",
  issn="0898-1221",
  url="https://doi.org/10.1016/j.camwa.2018.04.032"
}
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