An optimal scaling law for finite element approximations of a variational problem with non-trivial microstructure
ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 5, pp. 921-934.

In this note we give sharp lower bounds for a non-convex functional when minimised over the space of functions that are piecewise affine on a triangular grid and satisfy an affine boundary condition in the second lamination convex hull of the wells of the functional.

Classification : 74B20, 74S05
Mots-clés : finite-well non-convex functionals, finite element approximations 
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     title = {An optimal scaling law for finite element approximations of a variational problem with non-trivial microstructure},
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Lorent, Andrew. An optimal scaling law for finite element approximations of a variational problem with non-trivial microstructure. ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 5, pp. 921-934. http://www.numdam.org/item/M2AN_2001__35_5_921_0/

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