Submitted:
01 February 2024
Posted:
02 February 2024
Read the latest preprint version here
Abstract
This article develops duality principles and numerical results for a large class of non-convex variational models. The main results are based on fundamental tools of convex analysis, duality theory and calculus of variations. More specifically the approach is established for a class of non-convex functionals similar as those found in some models in phase transition. Finally, in some sections we present concerning numerical examples and the respective softwares.
Keywords:
duality theory
; non-convex analysis
; numerical method for a non-smooth model
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