Submitted:
23 December 2022
Posted:
26 December 2022
Read the latest preprint version here
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.
Keywords:
Convex dual variational formulation
; duality principle for non-convex optimization
; model in non-linear elasticity
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
