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Some Remarks on Nonuniqueness of Minimizers for Discrete Minimization Problems

  • M. Chipot and A. Elfanni

Abstract

We investigate the issue of uniqueness and nonuniqueness of minimizers for the approximation of variational problems. We show that when the continuous problem does not admit a minimizer its approximation by finite elements may lead to several discrete minimizers.

Received: 2000-02-23
Revised: 2001-04-03
Published Online: 2010-06-07
Published in Print: 2001-December

© Heldermann Verlag

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