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20172022
most citedDual variational formulations for a large class of non-convex models in the calculus of variations

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

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Showing 2019 · math.OCShow all

9 papers · 2 filters

math.OC2019

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…

math.OC2019

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…

math.OC2019

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…

math.OC2019

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…

math.OC2019

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…

math.OC2019

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…

math.OC2019

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…

math.OC2019

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…

math.OC2019

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…