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An iteration method for the mixed formulation of parameter dependent problems related to the Stokes equations

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Abstract

This paper presents an iteration scheme for parameter dependent problems such as those which arise in the analysis of nearly incompressible continua. The proposed method is a generalization of the one previously given by one of the present authors, and may be also regarded as a generalization of the popular augmented Lagrangian method. We present the scheme and convergence theorems with some observations for convergence, and give comments on the applications of our approach to the mixed finite element method.

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Authors and Affiliations

  1. Department of Mathematics, College of Arts and Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, 153, Tokyo, Japan

    F. Kikuchi

  2. Department of Mathematics, College of Science, The University of the Philippines, 3004, Diliman, Quezon City, Philippines

    M. P. Navarro

Authors
  1. F. Kikuchi
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  2. M. P. Navarro
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Communicated by G. Yagawa, December 20, 1985

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Kikuchi, F., Navarro, M.P. An iteration method for the mixed formulation of parameter dependent problems related to the Stokes equations. Computational Mechanics 1, 141–151 (1986). https://doi.org/10.1007/BF00277698

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