Result Details

Stokes system with solution-dependent threshold slip boundary conditions: Analysis, approximation and implementation

HASLINGER, J.; KUČERA, R.; ŠÁTEK, V.; SASSI, T. Stokes system with solution-dependent threshold slip boundary conditions: Analysis, approximation and implementation. MATHEMATICS AND MECHANICS OF SOLIDS, 2018, vol. 2018, no. 23, p. 294-307. ISSN: 1081-2865.
Type
journal article
Language
English
Authors
Haslinger Jaroslav
Kučera Radek, prof. RNDr., Ph.D., FME (FME)
Šátek Václav, Ing., Ph.D., DITS (FIT)
Sassi Taoufik, FIT (FIT)
Abstract

The paper analyzes the Stokes system with threshold slip boundary conditions of Navier type. Based on the fixedpoint
formulation we prove the existence of a solution for a class of solution-dependent slip functions g satisfying an
appropriate growth condition and its uniqueness provided that g is one-sided Lipschitz continuous. Further we study
under which conditions the respective fixed-point mapping is contractive. To discretize the problem we use P1-bubble/P1
elements. Properties of discrete models in dependence on the discretization parameter are analysed and convergence
results are established. In the second part of the paper we briefly describe the duality approach used in computations
and present results of a model example.

Keywords

Stokes system, threshold slip boundary conditions, solution dependent slip function

URL
Published
2018
Pages
294–307
Journal
MATHEMATICS AND MECHANICS OF SOLIDS, vol. 2018, no. 23, ISSN 1081-2865
DOI
10.1177/1081286517716222
UT WoS
000429895300004
EID Scopus
2-s2.0-85044166501
BibTeX 
@article{BUT146571,
  author="Jaroslav {Haslinger} and Radek {Kučera} and Václav {Šátek} and Taoufik {Sassi}",
  title="Stokes system with solution-dependent threshold slip boundary conditions: Analysis, approximation and implementation",
  journal="MATHEMATICS AND MECHANICS OF SOLIDS",
  year="2018",
  volume="2018",
  number="23",
  pages="294--307",
  doi="10.1177/1081286517716222",
  issn="1081-2865",
  url="http://journals.sagepub.com/doi/full/10.1177/1081286517716222"
}
Projects
Bezpečné a spolehlivé počítačové systémy, BUT, Vnitřní projekty VUT, FIT-S-17-4014, start: 2017-03-01, end: 2020-02-29, completed
Exploring new Applications for Modern Taylor Series Methods to Solve Stiff and High-Order Systems, MŠMT, AKTION Česká republika - Rakousko, Aktion-76p11, start: 2016-07-01, end: 2017-10-31, completed
Research groups
High Performance Computing Research Group (RG HPC)
Departments
Department of Intelligent Systems (DITS)
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