Journal article

HASLINGER Jaroslav, KUČERA Radek and ŠÁTEK Václav. Stokes system with local Coulomb's slip boundary conditions: Analysis of discretized models and implementation. Computers and Mathematics with Applications. 2019, vol. 2019, no. 77, pp. 1655-1667. ISSN 0898-1221. Available from: https://doi.org/10.1016/j.camwa.2018.04.032
Publication language:english
Original title:Stokes system with local Coulomb's slip boundary conditions: Analysis of discretized models and implementation
Title (cs):Stokesova úloha s Coulombovským prokluzem: Analýza diskretizačního modelu a implementace
Pages:1655-1667
Place:GB
Year:2019
URL:https://doi.org/10.1016/j.camwa.2018.04.032
Journal:Computers and Mathematics with Applications, Vol. 2019, No. 77, GB
ISSN:0898-1221
DOI:10.1016/j.camwa.2018.04.032
Keywords
Stokes system, Threshold slip conditions, Coulombs slip, Semismooth Newton method, Interior point method
Annotation
The theoretical part of the paper analyzes discretized Stokes systems with local Coulombs slip boundary conditions. Solutions to discrete models are defined by means of fixed-points of an appropriate mapping. We prove the existence of a fixed-point, establish conditions guaranteeing its uniqueness and examine how they depend on the discretization parameter
h and the slip coefficient . The second part of the paper is devoted to computational aspects. Numerical experiments are presented.
BibTeX:
@ARTICLE{
   author = {Jaroslav Haslinger and Radek Ku{\v{c}}era and
	V{\'{a}}clav {\v{S}}{\'{a}}tek},
   title = {Stokes system with local Coulomb's slip boundary
	conditions: Analysis of discretized models and
	implementation},
   pages = {1655--1667},
   journal = {Computers and Mathematics with Applications},
   volume = 2019,
 number = 77,
   year = 2019,
   ISSN = {0898-1221},
   doi = {10.1016/j.camwa.2018.04.032},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php.en.iso-8859-2?id=11744}
}

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