Stokes problem with the Coulomb stick-slip boundary conditions in 3D: formulations, approximation, algorithms, and experiments
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F24%3APU149397" target="_blank" >RIV/00216305:26230/24:PU149397 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27230/24:10253031 RIV/61989100:27740/24:10253031
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0378475423003737" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0378475423003737</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matcom.2023.08.036" target="_blank" >10.1016/j.matcom.2023.08.036</a>
Alternative languages
Result language
angličtina
Original language name
Stokes problem with the Coulomb stick-slip boundary conditions in 3D: formulations, approximation, algorithms, and experiments
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics and Computers in Simulation
ISSN
0378-4754
e-ISSN
1872-7166
Volume of the periodical
2024
Issue of the periodical within the volume
216
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
23
Pages from-to
145-167
UT code for WoS article
001081471900001
EID of the result in the Scopus database
2-s2.0-85171420757