Conference paper

JARO©OVÁ Marta, KUČERA Radek and ©ÁTEK Václav. Preconditioning in the path-following algorithm for the Stokes flow with stick-slip conditions. In: 16th Czech-Polish Conference Modern Mathematical Methods in Engineering (3mi). Rybnik, 2017, pp. 274-285. ISBN 978-83-65265-14-2. ISSN 2391-9361.
Publication language:english
Original title:Preconditioning in the path-following algorithm for the Stokes flow with stick-slip conditions
Pages:274-285
Proceedings:16th Czech-Polish Conference Modern Mathematical Methods in Engineering (3mi)
Conference:Modern Mathematical Methods in Engineeering
Place:Rybnik, PL
Year:2017
ISBN:978-83-65265-14-2
Journal:Systemy Wspomagania w Inżynierii Produkcji, Vol. 6, No. 4, Gliwice, PL
ISSN:2391-9361
Annotation
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.
BibTeX:
@INPROCEEDINGS{
   author = {Marta Jaro{\v{s}}ov{\'{a}} and Radek Ku{\v{c}}era
	and V{\'{a}}clav {\v{S}}{\'{a}}tek},
   title = {Preconditioning in the path-following algorithm
	for the Stokes flow with stick-slip conditions},
   pages = {274--285},
   booktitle = {16th Czech-Polish Conference Modern Mathematical Methods in
	Engineering (3mi)},
   journal = {Systemy Wspomagania w In{\'{z}}ynierii Produkcji},
   volume = {6},
   number = {4},
   year = {2017},
   location = {Rybnik, PL},
   ISBN = {978-83-65265-14-2},
   ISSN = {2391-9361},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php?id=11403}
}

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