In the context of a steady state, sourceless inverse heat conduction problem in an open bounded domain Ω containing a crack σ, the point-source reciprocity gap function gσ[⋅] is defined. The identification of σ is transformed into parameter fitting. In the Conclusions it is conjectured that "several cracklets may lead to the detection of several cracks'', not just approximate location and direction. This reviewer believes that the cracklet notion may induce interesting developments in multiscale geometric analysis [e.g., E. J. Candès, Notices Amer. Math. Soc. 50 (2003), no. 11, 1402--1403; MR2011606].

Crosta, G. (2005). Mathematical Review: MR2078817 (2005h:74024) Alves, Carlos J. S.; Abdallah, Jalel Ben; Jaoua, Mohamed Recovery of cracks using a point-source reciprocity gap function. MATHEMATICAL REVIEWS.

Mathematical Review: MR2078817 (2005h:74024) Alves, Carlos J. S.; Abdallah, Jalel Ben; Jaoua, Mohamed Recovery of cracks using a point-source reciprocity gap function

CROSTA, GIOVANNI FRANCO FILIPPO
2005

Abstract

In the context of a steady state, sourceless inverse heat conduction problem in an open bounded domain Ω containing a crack σ, the point-source reciprocity gap function gσ[⋅] is defined. The identification of σ is transformed into parameter fitting. In the Conclusions it is conjectured that "several cracklets may lead to the detection of several cracks'', not just approximate location and direction. This reviewer believes that the cracklet notion may induce interesting developments in multiscale geometric analysis [e.g., E. J. Candès, Notices Amer. Math. Soc. 50 (2003), no. 11, 1402--1403; MR2011606].
Recensione in rivista
inverse heat conduction; reciprocity gap functional; crack identification; cracklet
English
2005
none
Crosta, G. (2005). Mathematical Review: MR2078817 (2005h:74024) Alves, Carlos J. S.; Abdallah, Jalel Ben; Jaoua, Mohamed Recovery of cracks using a point-source reciprocity gap function. MATHEMATICAL REVIEWS.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/29898
Citazioni
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
Social impact