2022•Preprints.orgOpen access

A Duality Principle and a Concerning Convex Dual Formulation Suitable for Non-convex Variational Optimization

Fabio Botelho

Abstract

This article develops a duality principle and a related convex dual formulation suitable for a large class of models in physics and engineering. The results are based on standard tools of functional analysis, calculus of variations and duality theory. In particular, we develop applications to a model in non-linear elasticity.

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Key concepts: Duality (order theory), Convex analysis, Dual (grammatical number), Perturbation function, Mathematics, Convex optimization, Regular polygon, Strong duality