Detail publikačního výsledku

The Stokes Flow with Friction

KUČERA, R.; ŠÁTEK, V.; JAROŠOVÁ, M.; KOZUBEK, T.

Originální název

The Stokes Flow with Friction

Anglický název

The Stokes Flow with Friction

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

Efficient methods for solving the Stokes problem with a friction effect simulated by the slip boundary condition
are developed. The dual formulation of the problem arising from the finite element approximation leads to the minimization
of the strictly quadratic function with few unknowns constrained by simple bounds. Two solution algorithms highly efficient
in contact solid mechanics are tested: the active set strategy and the path-following variant of the interior point method.
Numerical experiments conclude the paper.

Anglický abstrakt

Efficient methods for solving the Stokes problem with a friction effect simulated by the slip boundary condition
are developed. The dual formulation of the problem arising from the finite element approximation leads to the minimization
of the strictly quadratic function with few unknowns constrained by simple bounds. Two solution algorithms highly efficient
in contact solid mechanics are tested: the active set strategy and the path-following variant of the interior point method.
Numerical experiments conclude the paper.

Klíčová slova

Stokes Problem, Slip Boundary Condition, Active Set Algorithm, Interior Point Method

Klíčová slova v angličtině

Stokes Problem, Slip Boundary Condition, Active Set Algorithm, Interior Point Method

Autoři

KUČERA, R.; ŠÁTEK, V.; JAROŠOVÁ, M.; KOZUBEK, T.

Vydáno

30.09.2014

Nakladatel

American Institute of Physics

Místo

Rhodes

ISBN

978-0-7354-1287-3

Kniha

12th International Conference of Numerical Analysis and Applied Mathematics

ISSN

0094-243X

Periodikum

AIP conference proceedings

Svazek

2015

Číslo

1648

Stát

Spojené státy americké

Strany od

1

Strany do

4

Strany počet

4

URL

http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4913029

BibTex

@inproceedings{BUT192981,
  author="KUČERA, R. and ŠÁTEK, V. and JAROŠOVÁ, M. and KOZUBEK, T.",
  title="The Stokes Flow with Friction",
  booktitle="12th International Conference of Numerical Analysis and Applied Mathematics",
  year="2014",
  journal="AIP conference proceedings",
  volume="2015",
  number="1648",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.4913029",
  isbn="978-0-7354-1287-3",
  issn="0094-243X",
  url="http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4913029"
}