Result Details

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

HASLINGER, J.; KUČERA, R.; MOTYČKOVÁ, K.; ŠÁTEK, V. Stokes problem with the Coulomb stick-slip boundary conditions in 3D: formulations, approximation, algorithms, and experiments. MATHEMATICS AND COMPUTERS IN SIMULATION, 2024, vol. 216, no. February, p. 145-167. ISSN: 0378-4754.
Type
journal article
Language
English
Authors
Haslinger Jaroslav
Kučera Radek, prof. RNDr., Ph.D., FME (FME)
Šátek Václav, Ing., Ph.D., DITS (FIT)
Motyčková Kristina, Ing., Ph.D.
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

URL
Published
2024
Pages
145–167
Journal
MATHEMATICS AND COMPUTERS IN SIMULATION, vol. 216, no. February, ISSN 0378-4754
Publisher
Elsevier
DOI
UT WoS
001081471900001
EID Scopus
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="216",
  number="February",
  pages="145--167",
  doi="10.1016/j.matcom.2023.08.036",
  issn="0378-4754",
  url="https://www.sciencedirect.com/science/article/pii/S0378475423003737"
}
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Reliable, Secure, and Intelligent Computer Systems, BUT, Vnitřní projekty VUT, FIT-S-23-8151, start: 2023-03-01, end: 2026-02-28, running
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