An output least-squares type functional is employed to identify the Lamé parameters in
linear elasticity. To be able to identify even the discontinuous Lamé parameters the …

In recent years, different fields of engineering have been increasingly incorporating
functionally graded materials with variable physical properties that significantly improve a …

An ill-posed quasi-variational inequality with contaminated data can be stabilized by
employing the elliptic regularization. Under suitable conditions, a sequence of bounded …

This work presents a thorough theoretical and numerical analysis of the elasticity imaging
inverse problem of tumor identification in the soft tissue of the human body. Beyond the …

The present paper proposes a novel Bayesian, a computational strategy in the context of
model‐based inverse problems in elastostatics. On one hand, we attempt to provide …

The traction exerted by a cell on the extra-cellular matrix (ECM) is critical to understanding
and manipulating important biological processes such as stem cell differentiation, cancer …

The primary objective of this work is to study the elasticity imaging inverse problem of
identifying cancerous tumors in the human body. This nonlinear inverse problem not only …

We analyze a multiple level-set method for solving inverse problems with piecewise
constant solutions. This method corresponds to an iterated Tikhonov method for a particular …

This paper presents a new material parameters identification method based on the Virtual
Fields Method (VFM) where a regularization term coming from a micromechanical model …

This work aims to compare the performance of a variety of gradient-based and extragradient
methods for the solution of the elastography inverse problem arising in the identification of …