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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.
Key words and phrases.: Approximation; non-convex; calculus of variations; minimizers; finite elements
Received: 2000-02-23
Revised: 2001-04-03
Published Online: 2010-06-07
Published in Print: 2001-December
© Heldermann Verlag