This article demonstrates duality principles and numerical techniques in non-convex models, suggesting new computational approaches.
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.
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Fabio Botelho (2025) studied this question.
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