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2022•Preprints.orgOpen access

On Duality Principles and Related Convex Dual Formulations Suitable for Local Non-Convex Variational Optimization

Fabio Botelho

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Abstract

This article develops duality principles and related convex dual formulations suitable for the local optimization of non-convex primal formulations 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 Ginzburg-Landau type equation.

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This article develops duality principles and related convex dual formulations suitable for the local optimization of non-convex primal formulations 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 Ginzburg-Landau type equation.

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Available abstract

This article develops duality principles and related convex dual formulations suitable for the local optimization of non-convex primal formulations 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 Ginzburg-Landau type equation.

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

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