1 citations · 2 across the 30 of their papers we have counts for
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A convex dual formulation for a large class of non-convex models in variational optimization
Fabio Silva Botelho
This short communication develops a convex dual variational formulation for a large class of models in variational optimization. The results are established through basic tools of…
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…
Dual variational formulations for a large class of non-convex models in the calculus of variations
Fabio Silva Botelho
This article develops dual variational formulations for a large class of models in variational optimization. The results are established through basic tools of functional analysis,…
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…
A duality principle and related computational method for a class of structural optimization problems in elasticity
Fabio Botelho, Alexandre Molter
In this article we develop a duality principle and concerning computational method for a structural optimization problem in elasticity. We consider the problem of finding the optim…
Duality suitable for a class of non-convex optimization problems
Fabio Botelho
In this article we develop a duality principle suitable for a large class of problems in optimization. The main result is obtained through basic tools of convex analysis and dualit…
A primal dual variational formulation and a multi-duality principle for a non-linear model of plates
Fabio Botelho
This article develops a new primal dual formulation for the Kirchhoff-Love non-linear plate model. At first we establish a duality principle which includes sufficient conditions of…
A duality principle for non-convex optimization in
Fabio Botelho
This article develops a duality principle for a class of optimization problems in . The results are obtained based on standard tools of convex analysis and on a well…
A note on optimization in
Fabio Botelho
In this article, we develop an algorithm suitable for constrained optimization in . The results are developed through standard tools of n-dimensional real analysis an…
Existence of solution for an optimal control problem associated to the Ginzburg-Landau system in superconductivity
Fabio Botelho, Eduardo Pandini Barros
This article develops a global existence result for the solution of an optimal control problem associated to the Ginzburg-Landau system. This main result is based on standard tools…
On central fields in the calculus of variations
Fabio Botelho
This article develops sufficient conditions of local optimality for the scalar and vectorial cases of the calculus of variations. The results are established through the constructi…
On General Duality Principles for Non-Convex Variational Optimization with Applications to the Ginzburg-Landau System in Superconductivity
Fabio Botelho
This article develops duality principles applicable to non-convex models in the calculus of variations. The results here developed are applied to Ginzburg-Landau type equations. Fo…
On duality principles for non-convex variational models applied to a Ginzburg-Landau type equation
Fabio Botelho
This article develops a duality principle applicable to a large class of variational problems. Firstly, we apply the results to a Ginzburg-Landau type model. In a second step, we d…
A duality principle for a semi-linear model in micro-magnetism
Fabio Botelho
This article develops a duality principle for a semi-linear model in micro-magnetism. The results are obtained through standard tools of convex analysis and the Legendre transform…
A duality principle for non-linear elasticity
Fabio Botelho
This article develops a duality principle for non-linear elasticity. The results are obtained through standard tools of convex analysis and the Legendre transform concept. We empha…