In this paper, we deal with the inverse problem of shape reconstruction inclusions in elastic bodies. The main idea is based on monotonicity property Neumann-to-Dirichlet operator presented a former article authors. Thus, introduce so-called standard as well linearized tests order to detect and reconstruct inclusions. addition, compare these methods each other present several numerical test exa...

In this paper, we extend the hybridization procedure proposed in [D. N. Arnold and F. Brezzi, Mixed nonconforming finite element methods: Implementation, postprocessing error estimates, ESAIM Math. Model. Numer. Anal. 19 (1985) 7–32] to Virtual Element Method for linear elasticity problems based on Hellinger–Reissner principle. To illustrate such a technique, focus specific 2D scheme, but other...