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 - <p style="text-align: justify;">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&#39;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.</p>