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We test the performance of a three-dimensional finite element, named HC(3), which generalizes the high-continuity (HC) finite element proposed by Aristodemo in 1985 for two-dimensional elastic problems. The HC(3) finite element is based on a quadratic B-spline interpolation of the displacement field in three-dimensional linear elasticity. The main feature of this interpolation technique, which can be considered as a particular case of the Bezier interpolation, consists in its capability in reproducing displacement fields of C(1) smoothness with a computational cost equivalent to a linear interpolation, i.e. with a single knot for each element

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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.