Publication result detail

The Stokes Flow with Friction

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

Original Title

The Stokes Flow with Friction

English Title

The Stokes Flow with Friction

Type

Paper in proceedings (conference paper)

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

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

Released

30.09.2014

Publisher

American Institute of Physics

Location

Rhodes

ISBN

978-0-7354-1287-3

Book

12th International Conference of Numerical Analysis and Applied Mathematics

ISBN

0094-243X

Periodical

AIP conference proceedings

Volume

2015

Number

1648

State

United States of America

Pages from

1

Pages to

4

Pages count

4

URL

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"
}