17 citations · 112 across the 25 of their papers we have counts for
11 papers · 1 filter
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…
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…
Wave scattering in 1D: D'Alembert-type representations and a reconstruction method
Konstantinos Kalimeris, Leonidas Mindrinos
We derive the extension of the classical d'Alembert formula for the wave equation, which provides the analytical solution for the direct scattering problem for a medium with consta…
The direct electromagnetic scattering problem by a piecewise constant inhomogeneous cylinder at oblique incidence
Drossos Gintides, Sotiris Giogiakas, Leonidas Mindrinos
We consider the solvability of the direct scattering problem of an obliquely incident time-harmonic electromagnetic wave by a piecewise constant inhomogeneous, penetrable and infin…
The electromagnetic scattering problem by a cylindrical doubly-connected domain at oblique incidence: the direct problem
Leonidas Mindrinos
We consider the direct electromagnetic scattering problem of time-harmonic obliquely incident waves by a infinitely long, homogeneous and doubly-connected cylinder in three dimensi…
Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging
Peter Elbau, Leonidas Mindrinos, Otmar Scherzer
In this paper we perform quantitative reconstruction of the electric susceptibility and the Grüneisen parameter of a non-magnetic linear dielectric medium using measurement of a mu…
The inverse scattering problem for orthotropic media in Polarization-sensitive Optical Coherence Tomography
Peter Elbau, Leonidas Mindrinos, Otmar Scherzer
In this paper we provide a mathematical model for imaging an anisotropic, orthotropic medium with Polarization-Sensitive Optical Coherence Tomography (PS-OCT). The imaging problem…
The inverse scattering problem by an elastic inclusion
Roman Chapko, Drossos Gintides, Leonidas Mindrinos
In this work we consider the inverse elastic scattering problem by an inclusion in two dimensions. The elastic inclusion is placed in an isotropic homogeneous elastic medium. The i…
Inverse Problems of Combined Photoacoustic and Optical Coherence Tomography
Peter Elbau, Leonidas Mindrinos, Otmar Scherzer
Optical coherence tomography (OCT) and photoacoustic tomography (PAT) are emerging non-invasive biological and medical imaging techniques. It is a recent trend in experimental scie…
The direct scattering problem of obliquely incident electromagnetic waves by a penetrable homogeneous cylinder
Drossos Gintides, Leonidas Mindrinos
In this paper we consider the direct scattering problem of obliquely incident time-harmonic electromagnetic plane waves by an infinitely long dielectric cylinder. We assume that th…