dc.contributor.author |
Djoko, J.K. (Jules Kamdem)
|
|
dc.contributor.author |
Koko, Jonas
|
|
dc.date.accessioned |
2016-05-11T16:38:53Z |
|
dc.date.issued |
2016-06 |
|
dc.description.abstract |
In this article, we discuss the numerical solution of the Stokes and
Navier-Stokes equations completed by nonlinear slip boundary condi-
tions of friction type in two and three dimensions. To solve the Stokes
system, we rst reduce the related variational inequality into a saddle
point-point problem for a well chosen augmented Lagrangian. To solve
this saddle point problem we suggest an alternating direction method
of multiplier together with nite element approximations. The solution
of the Navier Stokes system combines nite element approximations,
time discretization by operator splitting and augmented Lagrangian
method. Numerical experiment results for two and three dimensional
ow con rm the interest of these approaches. |
en_ZA |
dc.description.department |
Mathematics and Applied Mathematics |
en_ZA |
dc.description.embargo |
2017-03-31 |
|
dc.description.librarian |
hb2016 |
en_ZA |
dc.description.sponsorship |
National Research Foundation of South Africa, project 85796,N00401. |
en_ZA |
dc.description.uri |
http://www.elsevier.com/locate/cma |
en_ZA |
dc.identifier.citation |
Djoko, J & Koko, J 2016, 'Numerical methods for the Stokes and Navier-Stokes equations driven by threshold slip boundary conditions', Computer Methods in Applied Mechanics and Engineering, vol. 305, pp. 936-958. |
en_ZA |
dc.identifier.issn |
0045-7825 (print) |
|
dc.identifier.issn |
1879-2138 (online) |
|
dc.identifier.other |
10.1016/j.cma.2016.03.026 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/52589 |
|
dc.language.iso |
en |
en_ZA |
dc.publisher |
Elsevier |
en_ZA |
dc.rights |
© 2016 Elsevier B.V. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Methods in Applied Mechanics and Engineering, vol. 305, pp. 936-958, 2016. doi : 10.1016/j.cma.2016.03.026. |
en_ZA |
dc.subject |
Nonlinear slip boundary condition |
en_ZA |
dc.subject |
Stokes equations |
en_ZA |
dc.subject |
Navier Stokes equations |
en_ZA |
dc.subject |
Variational inequality |
en_ZA |
dc.subject |
Augmented Lagrangian |
en_ZA |
dc.subject |
Alternating direction method of multipliers |
en_ZA |
dc.subject |
Marchuk-Yanenko's scheme |
en_ZA |
dc.subject |
3d-simulations |
en_ZA |
dc.title |
Numerical methods for the Stokes and Navier-Stokes equations driven by threshold slip boundary conditions |
en_ZA |
dc.type |
Postprint Article |
en_ZA |