Article
Version 12
Preserved in Portico This version is not peer-reviewed
Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations
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How to cite: Botelho, F. Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations. Preprints 2023, 2023020051. https://doi.org/10.20944/preprints202302.0051.v12 Botelho, F. Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations. Preprints 2023, 2023020051. https://doi.org/10.20944/preprints202302.0051.v12
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 the last section we present a concerning numerical example and the respective software.
Keywords
Duality theory; non-convex analysis; numerical method for a non-smooth model
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (1)
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Commenter: Fabio Botelho
Commenter's Conflict of Interests: Author
This result is much better than the previous ones.
Once more the duality principle is partially of global nature.