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

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dc.contributor.authorHaslinger, Jaroslavcs
dc.contributor.authorKučera, Radekcs
dc.contributor.authorŠátek, Václavcs
dc.contributor.authorMotyčková, Kristinacs
dc.coverage.issueFebruarycs
dc.coverage.volume216cs
dc.date.accessioned2025-06-19T09:56:15Z
dc.date.available2025-06-19T09:56:15Z
dc.date.issued2024-02-01cs
dc.description.abstractThe 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.en
dc.formattextcs
dc.format.extent145-167cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationMathematics and Computers in Simulation. 2024, vol. 216, issue February, p. 145-167.en
dc.identifier.doi10.1016/j.matcom.2023.08.036cs
dc.identifier.issn0378-4754cs
dc.identifier.orcid0000-0002-5382-0235cs
dc.identifier.other185170cs
dc.identifier.scopus24722966000cs
dc.identifier.urihttps://hdl.handle.net/11012/254271
dc.language.isoencs
dc.publisherElseviercs
dc.relation.ispartofMathematics and Computers in Simulationcs
dc.relation.urihttps://www.sciencedirect.com/science/article/pii/S0378475423003737cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/0378-4754/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectStokes problemen
dc.subjectCoulomb stick-slip boundary conditionsen
dc.subjectsuccessive approximationsen
dc.subjectsemi-smooth Newton methoden
dc.titleStokes problem with the Coulomb stick-slip boundary conditions in 3D: formulations, approximation, algorithms, and experimentsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-185170en
sync.item.dbtypeVAVen
sync.item.insts2025.06.19 11:56:15en
sync.item.modts2025.06.19 11:33:09en
thesis.grantorVysoké učení technické v Brně. Fakulta informačních technologií. Ústav inteligentních systémůcs
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