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Memorias de investigación
Book chapters:
Topological derivatives for shape reconstruction
Year:2008
Research Areas
  • Mathematics
Information
Abstract
Topological derivative methods are used to solve constrained optimization reformulations of inverse scattering problems. The constraints take the form of Helmholtz or elasticity problems with different boundary conditions at the interface between the surrounding medium and the scatterers. Formulae for the topological derivatives are found by first computing shape derivatives and then performing suitable asymptotic expansions in domains with vanishing holes. We discuss integral methods for the numerical approximation of the scatterers using topological derivatives and implement a fast iterative procedure to improve the description of their number, size, location and shape.
International
Si
Book Edition
0
Book Publishing
Springer
ISBN
978-3-540-78545-3
Series
Lecture Notes in Mathematics
Book title
Inverse Problems and Imaging
From page
85
To page
134
Participants
  • 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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