On the computation of the rank-one convex hull of a function

Authors
Aranda, E Pedregal, P
Citation
E. Aranda et P. Pedregal, On the computation of the rank-one convex hull of a function, SIAM J SC C, 22(5), 2001, pp. 1772-1790
Citations number
55
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN journal
10648275 → ACNP
Volume
22
Issue
5
Year of publication
2001
Pages
1772 - 1790
Database
ISI
SICI code
1064-8275(20010208)22:5<1772:OTCOTR>2.0.ZU;2-V
Abstract
We report on several numerical experiments where the rank-one convexificati on of an energy density is computed. The explicit examples cover a whole sp ectrum of typical situations one may encounter. One of those is especially relevant for the computation of microstructures in crystalline solids.