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Estimates for numerical approximations of rank one convex envelopes

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Summary. We present a convergence analysis of an algorithm for the numerical computation of the rank-one convex envelope of a function \(f:\mathrm{M}^{m\times n}\rightarrow \mathbb{R}\). A rate of convergence for the scheme is established, and numerical experiments are presented to illustrate the analytical results and applications of the algorithm.

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Author information

Authors and Affiliations

  1. Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22–26, 04103 Leipzig, Germany; e-mail: georg@mis.mpg.de , , , , , , DE

    G. Dolzmann

  2. Department of Mathematical Sciences, Carnegie Mellon University Pittsburgh, PA 15213, USA; e-mail: noelw@andrew.cmu.edu , , , , , , US

    N.J. Walkington

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  1. G. Dolzmann
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  2. N.J. Walkington
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Received February 1, 1999 / Published online April 20, 2000

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Dolzmann, G., Walkington, N. Estimates for numerical approximations of rank one convex envelopes. Numer. Math. 85, 647–663 (2000). https://doi.org/10.1007/PL00005395

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  • DOI: https://doi.org/10.1007/PL00005395

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