Detail publikace

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.

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

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

Vydáno

2. 11. 2021

ISSN

2227-7390

Periodikum

Mathematics

Ročník

9

Číslo

22

Stát

Švýcarská konfederace

Strany od

1

Strany do

24

Strany počet

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"
}