WIAS Preprint No. 2049, (2014)

Computations of quasiconvex hulls of isotropic sets



Authors

  • Heinz, Sebastian
  • Kružik, Martin

2010 Mathematics Subject Classification

  • 49A50 26B25 52A30

Keywords

  • Quasiconvexity, relaxation, L variational problems

Abstract

We design an algorithm for computations of quasiconvex hulls of isotropic compact sets in in the space of 2x2 real matrices. Our approach uses a recent result by the first author [Adv. Calc. Var. (2014), DOI: 10.1515acv-2012-0008] on quasiconvex hulls of isotropic compact sets in the space of 2x2 real matrices. We show that our algorithm has the time complexity of O(N log N ) where N is the number of orbits of the set. We show some applications of our results to relaxation of L variational problems.

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