An optimal design problem in wave propagation

J.C. Bellido, Alberto Donoso

    Research output: Contribution to journalJournal articleResearchpeer-review


    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
    Issue number2
    Pages (from-to)339-352
    Publication statusPublished - 2007


    • classical solutions
    • optimal design
    • wave propagation


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