An optimal scaling law for finite element approximations of a variational problem with non-trivial microstructure
Lorent, Andrew
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 35 (2001), p. 921-934 / Harvested from Numdam
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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.

Publié le : 2001-01-01
Classification:  74B20,  74S05 
@article{M2AN_2001__35_5_921_0,
     author = {Lorent, Andrew},
     title = {An optimal scaling law for finite element approximations of a variational problem with non-trivial microstructure},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {35},
     year = {2001},
     pages = {921-934},
     mrnumber = {1866275},
     zbl = {1017.74067},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2001__35_5_921_0}
}

Lorent, Andrew. An optimal scaling law for finite element approximations of a variational problem with non-trivial microstructure. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 35 (2001) pp. 921-934. http://gdmltest.u-ga.fr/item/M2AN_2001__35_5_921_0/

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