dc.contributor.author |
Djoko, J.K. (Jules Kamdem)
|
|
dc.date.accessioned |
2017-05-10T07:00:53Z |
|
dc.date.issued |
2017-04 |
|
dc.description.abstract |
This work is concerned with the nonconforming finite approximations for the Stokes and Navier-Stokes equations driven by slip boundary condition of “friction” type. It is well documented that if the velocity is approximated by the Crouzeix-Raviart element of order one, while the discrete pressure is constant element wise the inequality of Korn doe not hold. Hence we propose a new formulation taking into account the curvature and the contribution of tangential velocity at the boundary. Using the maximal regularity of the weak solution, we derive a priori error estimates for the velocity and pressure by taking advantage of the enrichment mapping and the application of Babuska-Brezzi’s theory for mixed problems. |
en_ZA |
dc.description.department |
Mathematics and Applied Mathematics |
en_ZA |
dc.description.embargo |
2018-04-10 |
|
dc.description.librarian |
hb2017 |
en_ZA |
dc.description.uri |
http://www.tandfonline.com/loi/lnfa20 |
en_ZA |
dc.identifier.citation |
J. K. Djoko (2017) Convergence Analysis of the Nonconforming
Finite Element Discretization of Stokes and Navier
–Stokes Equations with Nonlinear Slip
Boundary Conditions, Numerical Functional Analysis and Optimization, 38:8, 951-987, DOI:
10.1080/01630563.2017.1316992. |
en_ZA |
dc.identifier.issn |
0163-0563 (print) |
|
dc.identifier.issn |
1532-2467 (online) |
|
dc.identifier.other |
10.1080/01630563.2017.1316992 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/60307 |
|
dc.language.iso |
en |
en_ZA |
dc.publisher |
Taylor and Francis |
en_ZA |
dc.rights |
© Taylor and Francis Group, LLC. This is an electronic version of an article published in Numerical Functional Analysis and Optimization, 38:8, 951-987, 2017. DOI:
10.1080/01630563.2017.1316992. Numerical Functional Analysis and Optimization is available online at : http://www.tandfonline.comloi/lnfa20. |
en_ZA |
dc.subject |
Stokes equations |
en_ZA |
dc.subject |
Navier-Stokes equations |
en_ZA |
dc.subject |
Nonlinear slip boundary conditions |
en_ZA |
dc.subject |
Variational inequality |
en_ZA |
dc.subject |
Crouzeix-Raviart element |
en_ZA |
dc.subject |
A priori error estimate |
en_ZA |
dc.title |
Convergence analysis of the nonconforming finite element discretization of Stokes and Navier-Stokes equations with nonlinear slip boundary conditions |
en_ZA |
dc.type |
Postprint Article |
en_ZA |