Publication detail

Numerical modeling of the leak through semipermeable walls for 2D/3D Stokes flow: experimental scalability of dual algorithms

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

Original Title

Numerical modeling of the leak through semipermeable walls for 2D/3D Stokes flow: experimental scalability of dual algorithms

Type

journal article in Web of Science

Language

English

Original Abstract

The paper deals with the Stokes flow subject to the threshold leak boundary conditions in two and three space dimensions. The velocity-pressure formulation leads to the inequality type problem that is approximated by the P1-bubble/P1 mixed finite elements. The resulting algebraic system is nonsmooth. It is solved by the path-following variant of the interior point method, and by the active-set implementation of the semi-smooth Newton method. Inner linear systems are solved by the preconditioned conjugate gradient method. Numerical experiments illustrate scalability of the algorithms. The novelty of this work consists in applying dual strategies for solving the problem.

Keywords

Stokes problem, threshold leak boundary conditions, interior-point method, semi-smooth Newton method

Authors

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

Released

2. 11. 2021

ISBN

2227-7390

Periodical

Mathematics

Year of study

9

Number

22

State

Swiss Confederation

Pages from

1

Pages to

24

Pages count

24

URL

https://www.mdpi.com/2227-7390/9/22/2906

BibTex

@article{BUT176754,
  author="HASLINGER, J. and KUČERA, R. and MOTYČKOVÁ, K. and ŠÁTEK, V.",
  title="Numerical modeling of the leak through semipermeable walls for 2D/3D Stokes flow: experimental scalability of dual algorithms",
  journal="Mathematics",
  year="2021",
  volume="9",
  number="22",
  pages="1--24",
  doi="10.3390/math9222906",
  issn="2227-7390",
  url="https://www.mdpi.com/2227-7390/9/22/2906"
}