Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed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.v2 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.v2

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

Comments (1)

Comment 1
Received: 9 February 2023
Commenter: Fabio Botelho
Commenter's Conflict of Interests: Author
Comment: Dear Sir Editor

We have added a new final section with an approximate primal dual formulation for a related model.
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