Detail publikačního výsledku

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

English Title

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

Type

Paper in proceedings (conference paper)

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.

English 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

Key words in English

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

Authors

HASLINGER, J.; KUČERA, R.; ŠÁTEK, V.

RIV year

2020

Released

24.06.2019

Publisher

American Institute of Physics

Location

Rhodes

Book

16th International Conference of Numerical Analysis and Applied Mathematics

ISBN

0094-243X

Periodical

AIP conference proceedings

Volume

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

Full text in the Digital Library

http://hdl.handle.net/

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"
}