A convex dual variational formulation for non-convex optimization applied to a non-linear model of plates
Optimization and Control
2021-09-07 v1
Abstract
This article develops duality principles applicable to the non-linear Kirchhoff-Love model of plates. The results are obtained through standard tools of convex analysis, functional analysis, calculus of variations and duality theory. The main duality principle concerns a convex (in fact concave) dual variational formulation and related new optimality conditions for the model in question. Finally, in the last section we develop some global existence results for a similar model in elasticity.
Keywords
Cite
@article{arxiv.2109.01662,
title = {A convex dual variational formulation for non-convex optimization applied to a non-linear model of plates},
author = {Fabio Silva Botelho},
journal= {arXiv preprint arXiv:2109.01662},
year = {2021}
}
Comments
23 pages. arXiv admin note: text overlap with arXiv:1712.01595