A New Non-linear Semidefinite Programming Algorithm with an Application to Multidisciplinary Free Material Optimization

Beitrag in einem Sammelwerk


Details zur Publikation

Autorinnen und Autoren: Stingl M, Kocvara M, Leugering G
Titel Sammelwerk: Optimal control of coupled systems of partial differential equations
Jahr der Veröffentlichung: 2009
Titel der Reihe: Internat. Ser. Numer. Math.
Band: 158
Seitenbereich: 275--295


Abstract


A new method and algorithm for the efficient solution of a class of nonlinear semidefinite programming problems is introduced. The new method extends a concept proposed recently for the solution of convex semidefinite programs based on the sequential convex programming (SCP) idea. In the core of the method, a generally non-convex semidefinite program is replaced by a sequence of subproblems, in which nonlinear constraint and objective functions defined in matrix variables are approximated by block separable convex models. Global convergence is proved under reasonable assumptions. The article is concluded by numerical experiments with challenging Free Material Optimization problems subject to displacement constraints.



FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Leugering, Günter Prof. Dr.
Lehrstuhl für Angewandte Mathematik
Stingl, Michael Prof. Dr.
Professur für Angewandte Mathematik (Kontinuierliche Optimierung)


Zusätzliche Organisationseinheit(en)
Exzellenz-Cluster Engineering of Advanced Materials


Einrichtungen weiterer Autorinnen und Autoren

University of Birmingham


Forschungsbereiche

A3 Multiscale Modeling and Simulation
Exzellenz-Cluster Engineering of Advanced Materials


Zitierweisen

APA:
Stingl, M., Kocvara, M., & Leugering, G. (2009). A New Non-linear Semidefinite Programming Algorithm with an Application to Multidisciplinary Free Material Optimization. In Optimal control of coupled systems of partial differential equations. (pp. 275--295).

MLA:
Stingl, Michael, Michal Kocvara, and Günter Leugering. "A New Non-linear Semidefinite Programming Algorithm with an Application to Multidisciplinary Free Material Optimization." Optimal control of coupled systems of partial differential equations. 2009. 275--295.

BibTeX: 

Zuletzt aktualisiert 2019-20-07 um 07:12