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VARIATIONAL APPROXIMATION OF INTERFACE ENERGIES AND APPLICATIONS

Abstract : Minimal partition problems consist in finding a partition of a domain into a given number of components in order to minimize a geometric criterion. In applicative fields such as image processing or continuum mechanics, it is standard to incorporate in this objective an interface energy that accounts for the lengths of the interfaces between components. The present work is focused on the theoretical and numerical treatment of minimal partition problems with such interface energies. The considered approach is based on a Γ-convergence approximation combined with convex analysis techniques.
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https://hal.archives-ouvertes.fr/hal-02390079
Contributor : Samuel Amstutz <>
Submitted on : Monday, December 2, 2019 - 6:23:30 PM
Last modification on : Wednesday, January 15, 2020 - 1:18:11 AM
Long-term archiving on: : Tuesday, March 3, 2020 - 9:53:58 PM

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Samuel Amstutz, Daniel Gourion, Mohammed Zabiba. VARIATIONAL APPROXIMATION OF INTERFACE ENERGIES AND APPLICATIONS. 2019. ⟨hal-02390079⟩

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