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Zbl 1161.65046
Carlier, Guillaume; Comte, Myriam; Peyré, Gabriel
Approximation of maximal Cheeger sets by projection. (English)
[J] ESAIM, Math. Model. Numer. Anal. 43, No. 1, 139-150 (2009). ISSN 0764-583X; ISSN 1290-3841/e

This article deals with the numerical computation of the Cheeger constant and the approximation of the maximal Cheeger set of a given subset of $\Bbb R^d$. This problem is motivated by landslide modeling as well as by the continuous maximal flow problem. Using the fact that the maximal Cheeger set can be approximated by solving a rather simple projection problem, the authors propose a numerical strategy to compute maximal Cheeger sets and Cheeger constants.
[Fuhua Ling (Milpitas)]

MSC 2000:: *65K10 Optimization techniques (numerical methods)
49Q10 Optimization of the shape other than minimal surfaces
49M25 Finite difference methods

Keywords: Cheeger set; Cheeger constants; total variation minimization; projections; landslide modeling; continuous maximal flow problem

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