Publication detail

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

HASLINGER, J. KUČERA, R. ŠÁTEK, V.

Original Title

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

Type

journal article in Web of Science

Language

English

Original 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.

Keywords

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

Authors

HASLINGER, J.; KUČERA, R.; ŠÁTEK, V.

Released

15. 3. 2019

ISBN

0898-1221

Periodical

Computers and Mathematics with Applications

Year of study

77

Number

6

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1655

Pages to

1667

Pages count

13

URL

https://doi.org/10.1016/j.camwa.2018.04.032

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"
}

Documents

Stokes system.pdf