Detail publikačního výsledku

Dual strategies for solving the Stokes problem with stick-slip boundary conditions in 3D

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

Originální název

Dual strategies for solving the Stokes problem with stick-slip boundary conditions in 3D

Anglický název

Dual strategies for solving the Stokes problem with stick-slip boundary conditions in 3D

Druh

Článek WoS

Originální abstrakt

The paper deals with the numerical realization of the 3D Stokes flow subject to threshold slip boundary conditions. The
weak velocity-pressure formulation leads to an inequality type problem that is approximated by a mixed finite element method.
The resulting algebraic system is non-smooth. Besides the pressure, three additional Lagrange multipliers are introduced: the
discrete normal stress releasing the impermeability condition and two discrete shear stresses regularizing the non-smooth slip
term. Eliminating the discrete velocity component we obtain the minimization problem for the smooth functional, expressed
in terms of the pressure, the normal, and the shear stresses. This problem is solved either by a path following variant of the
interior point method or by the semi-smooth Newton method. Numerical scalability is illustrated by computational experiments.

Anglický abstrakt

The paper deals with the numerical realization of the 3D Stokes flow subject to threshold slip boundary conditions. The
weak velocity-pressure formulation leads to an inequality type problem that is approximated by a mixed finite element method.
The resulting algebraic system is non-smooth. Besides the pressure, three additional Lagrange multipliers are introduced: the
discrete normal stress releasing the impermeability condition and two discrete shear stresses regularizing the non-smooth slip
term. Eliminating the discrete velocity component we obtain the minimization problem for the smooth functional, expressed
in terms of the pressure, the normal, and the shear stresses. This problem is solved either by a path following variant of the
interior point method or by the semi-smooth Newton method. Numerical scalability is illustrated by computational experiments.

Klíčová slova

Stokes problem, Stick-slip boundary conditions, Interior-point method, Semi-smooth Newton method

Klíčová slova v angličtině

Stokes problem, Stick-slip boundary conditions, Interior-point method, Semi-smooth Newton method

Autoři

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

Rok RIV

2022

Vydáno

09.11.2021

ISSN

0378-4754

Periodikum

MATHEMATICS AND COMPUTERS IN SIMULATION

Svazek

2021

Číslo

189

Stát

Nizozemsko

Strany od

191

Strany do

206

Strany počet

16

URL

https://www.sciencedirect.com/science/article/pii/S0378475420304705

BibTex

@article{BUT168554,
  author="Jaroslav {Haslinger} and Radek {Kučera} and Taoufik {Sassi} and Václav {Šátek}",
  title="Dual strategies for solving the Stokes problem with stick-slip boundary conditions in 3D",
  journal="MATHEMATICS AND COMPUTERS IN SIMULATION",
  year="2021",
  volume="2021",
  number="189",
  pages="191--206",
  doi="10.1016/j.matcom.2020.12.015",
  issn="0378-4754",
  url="https://www.sciencedirect.com/science/article/pii/S0378475420304705"
}

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