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A Duality Principle and a Related Convex Dual Formulation Suitable for Global Non-Convex Variational Optimization

A peer-reviewed version of this preprint was published in:
Nonlinear Engineering 2023, 12(1). https://doi.org/10.1515/nleng-2022-0343

Submitted:

12 October 2022

Posted:

14 October 2022

Read the latest preprint version here

Abstract
This article develops a duality principle and a related convex dual formulation suitable for the global optimization of a non-convex primal formulation 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.
Keywords: 
Convex dual variational formulation
;  
duality principle for non-convex global optimization
;  
Ginzburg-Landau type equation
Subject: 
Computer Science and Mathematics  -   Applied Mathematics
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