16 papers · 1 filter
A convex dual variational formulation for non-convex optimization applied to a non-linear model of plates
Fabio Silva Botelho
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…
A primal dual formulation through a proximal approach for non-convex variational optimization
Fabio Silva Botelho
This article develops a primal dual formulation for a primal proximal approach suitable for a large class of non-convex models in the calculus of variations. The results are establ…
Optimal control for the nonlinear Fisher-Kolmogorov system with applications to aquatic plant management
Alexandre Molter, Fabio Silva Botelho
Spatiotemporal dynamics of populations may be described by the reaction-diffusion Fisher-Kolmogorov model. In this work we have proposed a new formulation for a control problem of…
On duality principles for one and three-dimensional non-linear models in elasticity
Fabio Botelho
In this article, we develop duality principles applicable to primal variational formulations found in the non-linear elasticity theory. As a first application, we establish the con…
A primal dual variational formulation suitable for a large class of non-convex problems in optimization
Fabio Botelho
In this article we develop a new primal dual variational formulation suitable for a large class of non-convex problems in the calculus of variations. The results are obtained throu…
A numerical method for an inverse optimization problem through the generalized method of lines
Fabio Silva Botelho
This article develops a solution for an inverse problem through the generalized method of lines. We consider a Laplace equation on a domain with internal and external boundaries wi…