Publication Details

Preconditioning in the path-following algorithm for the Stokes flow with stick-slip conditions

JAROŠOVÁ, M.; KUČERA, R.; ŠÁTEK, V. Preconditioning in the path-following algorithm for the Stokes flow with stick-slip conditions. 16th Czech-Polish Conference Modern Mathematical Methods in Engineering (3mi). Rybnik: 2017. p. 274-285. ISBN: 978-83-65265-14-2. ISSN: 2391-9361.
Type
conference paper
Language
English
Authors
JAROŠOVÁ, M.
Kučera Radek, prof. RNDr., Ph.D.
Šátek Václav, Ing., Ph.D. (DITS)
Abstract

The Stokes problem with the stick-slip boundary condition is solved by the mixed finite element method combined with the TFETI method. An interior point method for the minimization subject to box and equality constraints is used. The preconditioned projected conjugate gradient method solves the inner linear systems. The preconditioners are tested experimentally. The aim of our research is to develop efficient solvers for modelling of a flow over hydrophobic walls that exhibits applications in engineering areas including biomedical modelling or transport of fluid.

Published
2017
Pages
274–285
Proceedings
16th Czech-Polish Conference Modern Mathematical Methods in Engineering (3mi)
Volume
6
Number
4
ISBN
978-83-65265-14-2
Place
Rybnik
BibTeX 
@inproceedings{BUT168455,
  author="JAROŠOVÁ, M. and KUČERA, R. and ŠÁTEK, V.",
  title="Preconditioning in the path-following algorithm for the Stokes flow with stick-slip conditions",
  booktitle="16th Czech-Polish Conference Modern Mathematical Methods in Engineering (3mi)",
  year="2017",
  volume="6",
  number="4",
  pages="274--285",
  address="Rybnik",
  isbn="978-83-65265-14-2",
  issn="2391-9361"
}
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