Publication detail

The Semi-smooth Newton Method for Solving the Stokes Flow with Coulomb Slip Boundary Conditions

HASLINGER, J. KUČERA, R. ŠÁTEK, V.

Original Title

The Semi-smooth Newton Method for Solving the Stokes Flow with Coulomb Slip Boundary Conditions

Type

conference paper

Language

English

Original Abstract

This contribution deals with the numerical realization of the Stokes system involving the local Coulomb slip boundary conditions. The algebraic formulation arising from a finite element approximation leads to a non-smooth system of algebraic equations which is solved by the semi-smooth Newton method using the active/inactive set strategy. Results of a model example are presented.

Keywords

Stokes problem, Coulomb slip boundary condition, semi-smooth Newton method

Authors

HASLINGER, J.; KUČERA, R.; ŠÁTEK, V.

Released

24. 6. 2019

Publisher

American Institute of Physics

Location

Rhodes

ISBN

0094-243X

Periodical

AIP conference proceedings

Year of study

2116

Number

7

State

United States of America

Pages from

1

Pages to

4

Pages count

4

URL

https://doi.org/10.1063/1.5114325

BibTex

@inproceedings{BUT159960,
  author="Jaroslav {Haslinger} and Radek {Kučera} and Václav {Šátek}",
  title="The Semi-smooth Newton Method for Solving the Stokes Flow with Coulomb Slip Boundary Conditions",
  booktitle="16th International Conference of Numerical Analysis and Applied Mathematics",
  year="2019",
  journal="AIP conference proceedings",
  volume="2116",
  number="7",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.5114325",
  issn="0094-243X",
  url="https://doi.org/10.1063/1.5114325"
}