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This article deals with the numerical computation of the Cheeger constant and the approximation of the maximal Cheeger set of a given subset of . This problem is motivated by landslide modelling 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, we propose a numerical strategy to compute maximal Cheeger sets and Cheeger constants.
@article{M2AN_2009__43_1_139_0,
author = {Carlier, Guillaume and Comte, Myriam and Peyr\'e, Gabriel},
title = {Approximation of maximal {Cheeger} sets by projection},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {139--150},
publisher = {EDP-Sciences},
volume = {43},
number = {1},
year = {2009},
doi = {10.1051/m2an/2008040},
mrnumber = {2494797},
zbl = {1161.65046},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2008040/}
}
TY - JOUR AU - Carlier, Guillaume AU - Comte, Myriam AU - Peyré, Gabriel TI - Approximation of maximal Cheeger sets by projection JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2009 SP - 139 EP - 150 VL - 43 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2008040/ DO - 10.1051/m2an/2008040 LA - en ID - M2AN_2009__43_1_139_0 ER -
%0 Journal Article %A Carlier, Guillaume %A Comte, Myriam %A Peyré, Gabriel %T Approximation of maximal Cheeger sets by projection %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2009 %P 139-150 %V 43 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2008040/ %R 10.1051/m2an/2008040 %G en %F M2AN_2009__43_1_139_0
Carlier, Guillaume; Comte, Myriam; Peyré, Gabriel. Approximation of maximal Cheeger sets by projection. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 1, pp. 139-150. doi: 10.1051/m2an/2008040
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