| Issue |
ESAIM: M2AN
Volume 35, Number 5, September-October 2001
|
|
|---|---|---|
| Page(s) | 921 - 934 | |
| DOI | https://doi.org/10.1051/m2an:2001143 | |
| Published online | 15 April 2002 | |
An optimal scaling law for finite element approximations of a variational problem with non-trivial microstructure
Max-Planck-Institute, Inselstr. 22-26,
04103 Leipzig, Germany. (lorent@mis.mpg.de)
Received:
26
February
2001
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.
Mathematics Subject Classification: 74B20 / 74S05
Key words: Finite-well non-convex functionals / finite element approximations.
© EDP Sciences, SMAI, 2001
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