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Memorias de investigación
Courses, Seminars and tutorials:
Inverse acoustic multiple scattering using topological derivatives
Year:2009
Research Areas
  • Mathematics
Information
Abstract
An inverse problem is considered where the structure of multiple sound-soft planar obstacles is to be determined given the direction of the incoming acoustic field and knowledge of the corresponding total field on a curve located outside the obstacles. A local uniqueness result is given for this inverse problem suggesting that the reconstruction can be achieved by a single incident wave. A numerical procedure based on the concept of the topological derivative of an associated cost functional is used to produce images of the obstacles. No a priori assumption about the number of obstacles present is needed. Numerical results are included showing that accurate reconstructions can be obtained and that the proposed method is capable of finding both the shapes and the number of obstacles with one or a few incident waves.
International
No
Congress
athematical Colloquia 2009
Entity
Linköpings Universitet
Entity Nationality
SUECIA
Place
Linköpings
Start Date
15/04/2009
End Date
15/04/2009
Participants
  • Autor: Tomas Johansson (Universidad de Birmingham)
  • Autor: Ana Carpio (Universidad Complutense de Madrid)
  • Autor: Maria Luisa Rapun Banzo (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Dinámica y estabilidad no lineal en ingeniería aeroespacial
  • Departamento: Fundamentos Matemáticos de la Tecnología Aeronáutica
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