Detail výsledku
Stokes problem with the Coulomb stick-slip boundary conditions in 3D: formulations, approximation, algorithms, and experiments
Kučera Radek, prof. RNDr., Ph.D., FSI (FSI)
Šátek Václav, Ing., Ph.D., UITS (FIT)
Motyčková Kristina, Ing., Ph.D.
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.
Stokes problem, Coulomb stick-slip boundary conditions, successive approximations, semi-smooth Newton method
@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"
}Výzkumná skupina vysoce náročné výpočty (VZ HPC)