Author(s):
Figueiredo, Isabel N. 
; Júdice, Joaquim J. ; Rosa, Silvério S.
Date: 2005
Persistent ID: http://hdl.handle.net/10316/7739
Origin: Estudo Geral - Universidade de Coimbra
Document details
A Class of Mathematical Programs with Equilibrium Constraints: A Smooth Algorit...
Description
We discuss a special mathematical programming problem with equilibrium constraints (MPEC), that arises in material and shape optimization problems involving the contact of a rod or a plate with a rigid obstacle. This MPEC can be reduced to a nonlinear programming problem with independent variables and some dependent variables implicity defined by the solution of a mixed linear complementarity problem (MLCP). A projected-gradient algorithm including a complementarity method is proposed to solve this optimization problem. Several numerical examples are reported to illustrate the efficiency of this methodology in practice. http://dx.doi.org/10.1007/s11081-005-6796-y
We discuss a special mathematical programming problem with equilibrium constraints (MPEC), that arises in material and shape optimization problems involving the contact of a rod or a plate with a rigid obstacle. This MPEC can be reduced to a nonlinear programming problem with independent variables and some dependent variables implicity defined by the solution of a mixed linear complementarity problem (MLCP). A projected-gradient algorithm including a complementarity method is proposed to solve this optimization problem. Several numerical examples are reported to illustrate the efficiency of this methodology in practice. http://dx.doi.org/10.1007/s11081-005-6796-y
Document Type
Article
Language English
Language English
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