601. A new SLP algorithm applied to Topology Optimization
Invited abstract in session TA-35: Nonlinear Optimization Algorithms and Applications: 4, stream Continuous and mixed-integer nonlinear programming: theory and algorithms.
Tuesday, 8:30-10:00Room: Michael Sadler LG15
Authors (first author is the speaker)
| 1. | Luis Felipe Bueno
|
| Federal University of Sao Paulo | |
| 2. | Ernesto G. Birgin
|
| Dept. of Computer Science, University of Sao Paulo | |
| 3. | Dimary Moreno
|
| Matemática, PUC-Rio | |
| 4. | Tiara Martini Santos
|
| Mathmatics, Instituto Tecnológico de Aeronáutica | |
| 5. | Thiago Santos
|
| Math, Instituto Federal de São Paulo | |
| 6. | Thadeu Senne
|
| UNIFESP |
Abstract
In this work we present a globally convergent version of a Sequential Linear Programming (SLP) algorithm and illustrate its numerical performance in Topology Optimization problems. The theoretical part of the work is based on recent advances in identifying key elements for the globalization of constrained nonlinear programming methods. The computational experiments focus on the application of Topology Optimization in which we are interested in building a structure in order to minimize a certain objective, respecting some necessary physical properties. Using a finite element scheme, the problem can be written as a nonlinear integer programming problem, for which we consider a continuous relaxation using the solid isotropic material with penalization strategy.
Keywords
- Programming, Nonlinear
- Algorithms
Status: accepted
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