dc.contributor.author |
Djoko, J.K. (Jules Kamdem)
|
|
dc.contributor.author |
Lubuma, Jean M.-S.
|
|
dc.contributor.author |
Mbehou, M.
|
|
dc.date.accessioned |
2016-06-21T06:15:17Z |
|
dc.date.issued |
2016-12 |
|
dc.description.abstract |
In this work, we study the penalty finite element approximation of the stationary
power law Stokes problem. We prove uniform convergence of the finite element
solution with respect to the penalized parameter under classical assumptions on the
weak solution. We formulate and analyze the convergence of a nonlinear saddle point
problem by adopting a particular algorithm based on vanishing viscosity approach
and long time behavior of an initial value problem. Finally, the predictions observed
theoretically are validated by means of numerical experiments. |
en_ZA |
dc.description.department |
Mathematics and Applied Mathematics |
en_ZA |
dc.description.embargo |
2017-12-30 |
|
dc.description.librarian |
hb2016 |
en_ZA |
dc.description.sponsorship |
National Research Foundation of South Africa |
en_ZA |
dc.description.uri |
http://link.springer.com/journal/10915 |
en_ZA |
dc.identifier.citation |
Djoko, J.K., Lubuma, J.M. & Mbehou, M. On the numerical solution of the stationary power-law Stokes equations : a penalty nite element approach. Journal of Scientific Computing (2016) 69: 1058-1082. doi:10.1007/s10915-016-0227-4. |
en_ZA |
dc.identifier.issn |
0885-7474 (print) |
|
dc.identifier.issn |
1573-7691 (online) |
|
dc.identifier.other |
10.1007/s10915-016-0227-4 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/53271 |
|
dc.language.iso |
en |
en_ZA |
dc.publisher |
Springer |
en_ZA |
dc.rights |
© Springer Science + Business Media New York 2016. The original publication is available at : http://link.springer.com/journal/10915. |
en_ZA |
dc.subject |
Power-law Stokes equations |
en_ZA |
dc.subject |
Penalty finite element method |
en_ZA |
dc.subject |
Uniform convergence |
en_ZA |
dc.subject |
Algorithm |
en_ZA |
dc.subject |
Initial value problem |
en_ZA |
dc.subject |
Initial flow |
en_ZA |
dc.title |
On the numerical solution of the stationary power-law Stokes equations : a penalty nite element approach |
en_ZA |
dc.type |
Postprint Article |
en_ZA |