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Memorias de investigación
Artículos en revistas:
Domain reconstruction using photothermal techniques
Año:2008
Áreas de investigación
  • Matemáticas
Datos
Descripción
A numerical method to detect objects buried in a medium by surface thermal measurements is presented. We propose a new approach combining the use of topological derivatives and Laplace transforms. The original optimization problem with time-dependent constraints is replaced by an equivalent problem with stationary constraints by means of Laplace transforms. The first step in the reconstruction scheme consists in discretizing the inversion formula to produce an approximate optimization problem with a finite set of constraints. Then, an explicit expression for the topological derivative of the approximate shape functional is given. This formula is evaluated at low cost using explicit expressions of the forward and adjoint fields involved. We apply this technique to a simple shape reconstruction problem set in a half space. Good approximations of the number, location and size of the obstacles are obtained. The description of their shapes can be improved by more expensive hybrid methods combining time averaging with topological derivative based iterative schemes.
Internacional
Si
JCR del ISI
Si
Título de la revista
JOURNAL OF COMPUTATIONAL PHYSICS
ISSN
0021-9991
Factor de impacto JCR
2,372
Información de impacto
Volumen
17
DOI
Número de revista
0
Desde la página
8083
Hasta la página
8106
Mes
ENERO
Ranking
Esta actividad pertenece a memorias de investigación
Participantes
  • Autor: Ana Carpio (Universidad Complutense de Madrid)
  • Autor: Maria Luisa Rapun Banzo (UPM)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Dinámica y estabilidad no lineal en ingeniería aeroespacial
  • Departamento: Fundamentos Matemáticos de la Tecnología Aeronáutica
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