full
search.png

Search

close.png

Cancel

arrow
Volume 11, Issue 1
On the Time Approximation of the Stokes Equations with Nonlinear Slip Boundary Condition

J. K. Djoko

Int. J. Numer. Anal. Mod., 11 (2014), pp. 34-53.

Published online: 2014-11

Preview Full PDF 2051 19453

Cited by

google scholar semantic scholar
Export citation
  • Abstract

This work is concerned with the numerical approximation of the unsteady Stokes flow of a viscous incompressible fluid driven by a threshold slip boundary condition of friction type. The continuous problem is formulated as variational inequality, which is next discretized in time based on backward Euler's scheme. We prove existence and uniqueness of the solution of the time discrete problem by means of a regularization approach. Finally, we derive error estimates that justify the convergence property of the discretization proposed.

  • Keywords

Stokes equations, slip boundary condition, variational inequality, regularization, convexity, monotone.

  • AMS Subject Headings

65M12, 76D07, 35J85, 35Q30, 76D30, 76D07

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{IJNAM-11-34, author = {Djoko , J. K.}, title = {On the Time Approximation of the Stokes Equations with Nonlinear Slip Boundary Condition}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2014}, volume = {11}, number = {1}, pages = {34--53}, abstract = {

This work is concerned with the numerical approximation of the unsteady Stokes flow of a viscous incompressible fluid driven by a threshold slip boundary condition of friction type. The continuous problem is formulated as variational inequality, which is next discretized in time based on backward Euler's scheme. We prove existence and uniqueness of the solution of the time discrete problem by means of a regularization approach. Finally, we derive error estimates that justify the convergence property of the discretization proposed.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/513.html} }
TY - JOUR T1 - On the Time Approximation of the Stokes Equations with Nonlinear Slip Boundary Condition AU - Djoko , J. K. JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 34 EP - 53 PY - 2014 DA - 2014/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/513.html KW - Stokes equations, slip boundary condition, variational inequality, regularization, convexity, monotone. AB -

This work is concerned with the numerical approximation of the unsteady Stokes flow of a viscous incompressible fluid driven by a threshold slip boundary condition of friction type. The continuous problem is formulated as variational inequality, which is next discretized in time based on backward Euler's scheme. We prove existence and uniqueness of the solution of the time discrete problem by means of a regularization approach. Finally, we derive error estimates that justify the convergence property of the discretization proposed.

J. K. Djoko. (1970). On the Time Approximation of the Stokes Equations with Nonlinear Slip Boundary Condition. International Journal of Numerical Analysis and Modeling. 11 (1). 34-53. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard