Abstract:
The paper discusses a method for numerical solution of the regularized
Bingham problem. We consider the regularized model proposed by Papanastasiou.
For the linearized problem, a preconditioner is developed and several estimates
for the effective condition number are derived. Further, the convergence of
Krylov subspace iterative methods is analyzed. The estimates are based on
the Necas inequality in weighted norms. The work was supported by the
Russian Foundation for Basic Research (projects 09-01-00115 and 08-01-00159).