Detail výsledku

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 & MATHEMATICS WITH APPLICATIONS, 2019, vol. 77, no. 6, p. 1655-1667. ISSN: 0898-1221.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Haslinger Jaroslav
Kučera Radek, prof. RNDr., Ph.D., FSI (FSI)
Šátek Václav, Ing., Ph.D., UITS (FIT)
Abstrakt

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.

Klíčová slova

Stokes system, Threshold slip conditions, Coulombs slip, Semismooth Newton method, Interior point method

URL
Rok
2019
Strany
1655–1667
Časopis
COMPUTERS & MATHEMATICS WITH APPLICATIONS, roč. 77, č. 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 & 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"
}
Soubory
Projekty
Bezpečné a spolehlivé počítačové systémy, VUT, Vnitřní projekty VUT, FIT-S-17-4014, zahájení: 2017-03-01, ukončení: 2020-02-29, ukončen
Výzkumné skupiny
Výzkumná skupina vysoce náročné výpočty (VZ HPC)
Pracoviště
Ústav inteligentních systémů (UITS)
Nahoru