This work applies concepts of artificial neural networks to identify the parameters of a
mathematical model based on phase fields for damage and fracture. Damage mechanics is …

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

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 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 …

This article is concerned with the determination of the diffusion matrix in the reactiondiffusion
mathematical model arising from the spread of an epidemic. The mathematical model that …

Complex systems in real world often experience abrupt changes or jumps that cannot be
accurately captured by traditional partial differential equation modeling methods. However …

The paper investigates inverse problems for a class of nonlinear elliptic variational-
hemivariational inequalities. We prove results on the well posedness of a variational …

This work applies concepts of artificial neural networks to identify the parameters of a
mathematical model based on phase fields for damage and fracture. Damage mechanics is …

The primary objective of this work is a detailed theoretical and computational study of the
elasticity imaging inverse problem for tumor identification within the human body. Apart from …

In the paper, we analyze problems of elasticity tensor identification for an elastic body with
incorporated thin elastic and rigid inclusions in a non-coercive case. The inclusions are …