1 citations · 2 across the 30 of their papers we have counts for
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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…