An iterative method for solving the regularized Bingham problem

Authors

  • P.P. Grinevich
  • M.A. Olshanskii

Keywords:

iterative method
preconditioner
viscoplasticity
Bingham problem
regularization

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).

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Published

2010-03-02

Issue

Vol. 11 (2010): Issue 1.

Section

Section 1. Numerical methods and applications

Author Biographies

P.P. Grinevich

Lomonosov Moscow State University,
Faculty of Mechanics and Mathematics
• PhD Student

M.A. Olshanskii

Lomonosov Moscow State University,
Faculty of Mechanics and Mathematics
• Professor

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