1 citations · 2 across the 30 of their papers we have counts for
32 papers
An approximate proximal numerical procedure concerning the generalized method of lines
Fabio Silva Botelho
This article develops an approximate proximal approach for the generalized method of lines. The present results are extensions and applications of previous ones which have been pub…
An approximate numerical method for ordinary differential equation systems with applications to a flight mechanics model
Fabio Silva Botelho
This short communication develops a new numerical procedure suitable for a large class of ordinary differential equation systems found in models in physics and engineering. The mai…
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…
A note on the Korn inequality in a n-dimensional context
Fabio Silva Botelho
In this short communication, we present a new proof for the Korn inequality in a n-dimensional context. The results are based on standard tools of real and functional analysis. For…
On duality principles for non-convex optimization with applications to superconductivity and some existence results for a model in non-linear elasticity
Fabio Silva Botelho
This article develops duality principles applicable to the Ginzburg-Landau system in superconductivity. The main results are obtained through standard tools of convex analysis, fun…
On Lagrange multiplier theorems for non-smooth optimization for a large class of variational models in Banach spaces
Fabio Silva Botelho
This article develops optimality conditions for a large class of non-smooth variational models. The main results are based on standard tools of functional analysis and calculus of…
A generalization of the Ekeland variational principle
Fabio Silva Botelho
In this short communication, we present a generalization of the Ekeland variational principle. The main result is established through standard tools of functional analysis and calc…
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…
A general variational formulation for relativistic mechanics based on fundamentals of differential geometry
Fabio Botelho
The first part of this article develops a variational formulation for relativistic mechanics. The results are established through standard tools of variational analysis and differe…
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…
On the generalized method lines applied to the time-independent incompressible Navier-Stokes system
Fabio Botelho
In the first part of this article, we obtain a linear system whose the solution solves the time-independent incompressible Navier-Stokes system for the special case in which the ex…
A variational formulation for relativistic mechanics, a new interpretation for the Bohr atomic model and some concerning applications
Fabio Botelho
This article develops a variational formulation for the relativistic Klein-Gordon equation. The main results are obtained through an extension of the classical mechanics approach t…
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…
On the generalized method of lines and its proximal explicit and hyper-finite difference approaches
Fabio Botelho
This article firstly develops a proximal explicit approach for the generalized method of lines. In such a method, the domain of the PDE in question is discretized in lines and the…
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…