An optimal design problem in wave propagation

J.C. Bellido, Alberto Donoso

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

We consider an optimal design problem in wave propagation proposed in Sigmund and Jensen (Roy. Soc. Lond. Philos. Trans. Ser. A 361:1001-1019, 2003) in the one-dimensional situation: Given two materials at our disposal with different elastic Young modulus and different density, the problem consists of finding the best distributions of the two initial materials in a rod in order to minimize the vibration energy in the structure under periodic loading of driving frequency Omega. We comment on relaxation and optimality conditions, and perform numerical simulations of the optimal configurations. We prove also the existence of classical solutions in certain cases.
Original languageEnglish
JournalJournal of Optimization Theory and Applications
Volume134
Issue number2
Pages (from-to)339-352
ISSN0022-3239
DOIs
Publication statusPublished - 2007

Keywords

  • classical solutions
  • optimal design
  • wave propagation

Fingerprint Dive into the research topics of 'An optimal design problem in wave propagation'. Together they form a unique fingerprint.

Cite this