6 citations · 6 across the 4 of their papers we have counts for
4 papers
Estimating parameters of the diffusion model via asymptotic expansions
Konstantinos Kalimeris, Leonidas Mindrinos
A broad class of inverse problems deals with determining certain parameters, from measurement data, in models which are associated to certain partial differential equations. In thi…
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…
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…
An analytical solution for vertical infiltration in bounded profiles
Ioannis Argyrokastritis, Konstantinos Kalimeris, Leonidas Mindrinos
In this study, we derive an analytical solution to address the problem of one-dimensional vertical infiltration within bounded profiles. We consider the Richards equation together…