3 papers
physics.geo-ph2025
Estimating properties of a homogeneous bounded soil using machine learning models
Konstantinos Kalimeris, Leonidas Mindrinos, Nikolaos Pallikarakis
This work focuses on estimating soil properties from water moisture measurements. We consider simulated data generated by solving the initial-boundary value problem governing verti…
math.AP2025
On the inverse elastic problem for isotropic media using Eshelby and Lippmann-Schwinger integral formulations
Drossos Gintides, Leonidas Mindrinos
We present two applications of the integro-differential volume equation for the eigenstrain, building on Eshelby's inclusion method [15,16], in the contexts of both static and dyna…
math.AP2024
Rainfall infiltration: Direct and Inverse problems on a linear evolution equation
Konstantinos Kalimeris, Leonidas Mindrinos
Originating from the mathematical modelling of rainfall infiltration, we derive the solution of an initial-boundary value problem of a linear evolution partial differential equatio…