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An optimal scaling law for finite element approximationsof a variationalproblem with non-trivial microstructure

Published online by Cambridge University Press:  15 April 2002

Andrew Lorent
Andrew Lorent*
Affiliation:
Max-Planck-Institute, Inselstr. 22-26, 04103 Leipzig, Germany. ([email protected])
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Abstract

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 satisfyan affine boundary condition in the second lamination convex hull of the wells of the functional.

Keywords

Finite-well non-convex functionalsfinite element approximations.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 5 , September 2001 , pp. 921 - 934
Copyright
© EDP Sciences, SMAI, 2001

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References

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