Stokes problem with the Coulomb stick-slip boundary conditions in 3D: formulations, approximation, algorithms, and experiments
Loading...
Date
2024-02-01
Authors
Haslinger, Jaroslav
Kučera, Radek
Šátek, Václav
Motyčková, Kristina
ORCID
0000-0002-5382-0235Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Altmetrics
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.
Description
Citation
Mathematics and Computers in Simulation. 2024, vol. 216, issue February, p. 145-167.
https://www.sciencedirect.com/science/article/pii/S0378475423003737
https://www.sciencedirect.com/science/article/pii/S0378475423003737
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en