Publication detail

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

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

Original Title

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

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

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

Released

1. 2. 2024

ISBN

0378-4754

Periodical

Mathematics and Computers in Simulation

Year of study

2024

Number

216

State

Kingdom of the Netherlands

Pages from

145

Pages to

167

Pages count

23

URL

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

BibTex

@article{BUT185170,
  author="Jaroslav {Haslinger} and Radek {Kučera} and Václav {Šátek} and Kristina {Motyčková}",
  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"
}