Sharp Energy Estimates for Finite Element Approximations of Non-Convex Problems
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 , , , , . Note also that our technique borrows widely from ,  and can be extended to more general situations — see .
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