Publication detail

The Semi-smooth Newton Method for Solving the Stokes Flow Under the Leak Boundary Condition

KUČERA, R. MOTYČKOVÁ, K. ŠÁTEK, V. HASLINGER, J. SASSI, T.

Original Title

The Semi-smooth Newton Method for Solving the Stokes Flow Under the Leak Boundary Condition

Type

conference paper

Language

English

Original Abstract

The article deals with the Stokes flow under the leak boundary conditions. The problem is discretized using the mixed finite element approximation and solved as algebraic optimization problem. The respective optimality conditions are the starting point for the algorithm based on an active set implementation of the semi-smooth Newton method. Numerical experiments compare performance of the algorithm with the path-following interior point method.

Keywords

Stokes problem, leak boundary condition, optimization problem

Authors

KUČERA, R.; MOTYČKOVÁ, K.; ŠÁTEK, V.; HASLINGER, J.; SASSI, T.

Released

24. 6. 2019

Location

Rhodes

ISBN

0094-243X

Periodical

AIP conference proceedings

State

United States of America

Pages from

1

Pages to

4

Pages count

4

URL

https://doi.org/10.1063/1.5114330

BibTex

@inproceedings{BUT168438,
  author="KUČERA, R. and MOTYČKOVÁ, K. and ŠÁTEK, V. and HASLINGER, J. and SASSI, T.",
  title="The Semi-smooth Newton Method for Solving the Stokes Flow Under the Leak Boundary Condition",
  booktitle="16th International Conference of Numerical Analysis and Applied Mathematics",
  year="2019",
  journal="AIP conference proceedings",
  pages="1--4",
  address="Rhodes",
  doi="10.1063/1.5114330",
  issn="0094-243X",
  url="https://doi.org/10.1063/1.5114330"
}