Abstract
The goal of this note is to expose in a simple situation the key arguments which allow one to prove sharp energy estimates in the numerical analysis of problems with multiple-well energy in the calculus of variations. Let us recall that such problems arise naturally for instance in materials science. We refer the reader for this matter to [1], [5], [6], [7], [10]. Note also that our technique borrows widely from [8], [9] and can be extended to more general situations — see [3].
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