Detail publikace

Stokes problem with the Coulomb stick-slip boundary conditions in 3D: formulations, approximation, algorithms, and experiments

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

Originální název

Stokes problem with the Coulomb stick-slip boundary conditions in 3D: formulations, approximation, algorithms, and experiments

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

The paper deals with the approximation and numerical realization of the Stokes system in 3D with Coulomb's slip boundary conditions. The weak velocity-pressure formulation leads to an implicit in- equality type problem which is discretized by the P1+bubble/P1 elements. To regularize the discrete non-smooth slip term and to release the discrete impermeability condition the duality approach is used. For numerical realization of the resulting saddle-point problem two strategies are proposed, namely i) its fixed-point formulation solved by the method of successive approximations ii) the direct numerical solu- tion of the saddle-point problem. The semi-smooth Newton method is used to solve non-smooth equations appearing in both these approaches.

Klíčová slova

Stokes problem, Coulomb stick-slip boundary conditions, successive approximations, semi-smooth Newton method

Autoři

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

Vydáno

1. 2. 2024

ISSN

0378-4754

Periodikum

Mathematics and Computers in Simulation

Ročník

2024

Číslo

216

Stát

Nizozemsko

Strany od

145

Strany do

167

Strany počet

23

URL

https://www.sciencedirect.com/science/article/pii/S0378475423003737

BibTex

@article{BUT185170,
  author="HASLINGER, J. and KUČERA, R. and MOTYČKOVÁ, K. and ŠÁTEK, V.",
  title="Stokes problem with the Coulomb stick-slip boundary conditions in 3D: formulations, approximation, algorithms, and experiments",
  journal="Mathematics and Computers in Simulation",
  year="2024",
  volume="2024",
  number="216",
  pages="145--167",
  doi="10.1016/j.matcom.2023.08.036",
  issn="0378-4754",
  url="https://www.sciencedirect.com/science/article/pii/S0378475423003737"
}