Scientific publications
J.K. Djoko
UpSpace Institutional Repository (University of Pretoria)
This paper is devoted to the study of finite element approximations of variational \ninequalities with a special nonlinearity coming from boundary conditions. After re-writing the \nproblems in the form of variational inequalities, a fixed point strategy is used to show existence of \nsolutions. Next we prove that the finite element approximations for the Stokes and Navier Stokes \nequations converge respectively to the solutions of each continuous problems. Finally, Uzawa’s \nalgorithm is formulated and convergence of the procedure is shown, and numerical validation test \nis achieved.
