Detail publikace

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

HASLINGER, J. KUČERA, R. ŠÁTEK, V.

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální 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

Autoři

HASLINGER, J.; KUČERA, R.; ŠÁTEK, V.

Vydáno

15. 3. 2019

ISSN

0898-1221

Periodikum

Computers and Mathematics with Applications

Ročník

77

Číslo

6

Stát

Spojené království Velké Británie a Severního Irska

Strany od

1655

Strany do

1667

Strany počet

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"
}