Reliable and Efficient Approximation of Polyconvex Envelopes

@article{Bartels2005ReliableAE,
  title={Reliable and Efficient Approximation of Polyconvex Envelopes},
  author={S{\"o}ren Bartels},
  journal={SIAM J. Numerical Analysis},
  year={2005},
  volume={43},
  pages={363-385}
}
An iterative algorithm that approximates the polyconvex envelope f pc of a given function f : R → R, i.e. the largest function below f which is convex in all minors, is established. A rigorous error analysis with a focus on reliability and optimal orders of convergence, an efficient strategy that reduces the large number of unknowns, as well as numerical experiments are presented. 

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