We consider the problem of detecting elastic inclusions in elastic bodies by means of mechanical boundary data only, that is measurements of boundary displacement and traction. In previous work of some of the present authors, upper and lower bounds on the size (area or volume) of the inclusions were proven analytically. Following the guidelines drawn up in such previous theoretical study, an extended numerical investigation has been performed in order to prove the effectiveness of this approach. The sensitivity with respect to various relevant parameters is also analysed.

Alessandrini, G., Bilotta, A., Formica, G., Morassi, A., Rosset, E., Turco, E. (2005). Numerical size estimates of inclusions in elastic bodies. INVERSE PROBLEMS, 21(1), 133-151 [10.1088/0266-5611/21/1/009].

Numerical size estimates of inclusions in elastic bodies

FORMICA, GIOVANNI;
2005-01-01

Abstract

We consider the problem of detecting elastic inclusions in elastic bodies by means of mechanical boundary data only, that is measurements of boundary displacement and traction. In previous work of some of the present authors, upper and lower bounds on the size (area or volume) of the inclusions were proven analytically. Following the guidelines drawn up in such previous theoretical study, an extended numerical investigation has been performed in order to prove the effectiveness of this approach. The sensitivity with respect to various relevant parameters is also analysed.
2005
Alessandrini, G., Bilotta, A., Formica, G., Morassi, A., Rosset, E., Turco, E. (2005). Numerical size estimates of inclusions in elastic bodies. INVERSE PROBLEMS, 21(1), 133-151 [10.1088/0266-5611/21/1/009].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/135078
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