Volume 14, Number 4, October-December 2008
|Page(s)||780 - 794|
|Published online||07 February 2008|
Local minimizers of functionals with multiple volume constraints
Université de Savoie, France; Edouard.Oudet@univ-savoie.fr
2 University of Zürich, ISB, Switzerland; email@example.com
Revised: 14 June 2007
We study variational problems with volume constraints, i.e., with level sets of prescribed measure. We introduce a numerical method to approximate local minimizers and illustrate it with some two-dimensional examples. We demonstrate numerically nonexistence results which had been obtained analytically in previous work. Moreover, we show the existence of discontinuous dependence of global minimizers from the data by using a Γ-limit argument and illustrate this with numerical computations. Finally we construct explicitly local and global minimizers for problems with two volume constraints.
Mathematics Subject Classification: 49J / 65K10
Key words: Volume constrained problems / numerical simulations / level set method / local minima
© EDP Sciences, SMAI, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.