Detail publikace

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. The Semi-smooth Newton Method for Solving the Stokes Flow Under the Leak Boundary Condition. In 16th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: 2019. p. 1-4. ISSN: 0094-243X.
Typ
článek ve sborníku konference
Jazyk
anglicky
Autoři
Kučera Radek, prof. RNDr., Ph.D.
MOTYČKOVÁ, K.
Šátek Václav, Ing., Ph.D. (UITS)
Haslinger Jaroslav
Sassi Taoufik (FIT)
URL
Klíčová slova

Stokes problem, leak boundary condition, optimization problem

Abstrakt

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.

Rok
2019
Strany
1–4
Časopis
AIP conference proceedings, ISSN 0094-243X
Sborník
16th International Conference of Numerical Analysis and Applied Mathematics
Místo
Rhodes
DOI
10.1063/1.5114330
UT WoS
000521108600321
EID Scopus
2-s2.0-85069964245
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"
}
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