Pontryagin Approximations for Optimal Design of Elastic Structures
(English)Manuscript (Other academic)
This article presents a numerical method for approximation of some optimal control problems for partial differential equations. The method uses regularization derived from consistency with the corresponding Hamilton-Jacobi-Bellman equations in infinite dimension. In particular, optimal designs of elastic structures such as distributing a limited amount of material to minimize its compliance, or to detect interior material distributions from surface measurements, are computed. The derived Pontryagin based method presented here is simple to use with standard PDE-software using Newton iterations with a sparse Hessian.
IdentifiersURN: urn:nbn:se:kth:diva-9384OAI: oai:DiVA.org:kth-9384DiVA: diva2:113779
QC 201007122008-10-282008-10-282010-11-10Bibliographically approved