17 citations · 112 across the 25 of their papers we have counts for
25 papers
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…
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…
On the numerical solution of a hyperbolic initial boundary value problem by hypersingular boundary integral equations
Roman Chapko, Leonidas Mindrinos
In this study, we consider the numerical solution of the Neumann initial boundary value problem for the wave equation in 2D domains. Employing the Laguerre transform with respect t…
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…
Quantitative Parameter Reconstruction from Optical Coherence Tomographic Data
Leopold Veselka, Peter Elbau, Leonidas Mindrinos +2
Quantitative tissue information, like the light scattering properties, is considered as a key player in the detection of cancerous cells in medical diagnosis. A promising method to…
Development of mathematical models for quantitative OCT: A review
Peter Elbau, Leonidas Mindrinos, Leopold Veselka
We review mathematical models describing how Optical Coherence Tomography works. Hereby, we focus on models based on Maxwell's equations and their simplifications. We highlight esp…
On the numerical solution of a hyperbolic inverse boundary value problem in bounded domains
Roman Chapko, Leonidas Mindrinos
We consider the inverse problem of reconstructing the boundary curve of a cavity embedded in a bounded domain. The problem is formulated in two dimensions for the wave equation. We…
A Quantitative Model for Optical Coherence Tomography
Leopold Veselka, Lisa Krainz, Leonidas Mindrinos +2
Optical coherence tomography (OCT) is a widely used imaging technique in the micrometer regime, which gained accelerating interest in medical imaging in the last twenty years. In u…
Computed Origami Tomography
Axel Kittenberger, Leonidas Mindrinos, Otmar Scherzer
In this paper, we provide assembly instructions for an easy to build experimental setup in order to gain practical experience with tomography. In view of this, this paper can be se…
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…
Reconstructing the Optical Parameters of a Layered Medium with Optical Coherence Elastography
Peter Elbau, Leonidas Mindrinos, Leopold Veselka
In this work we consider the inverse problem of reconstructing the optical properties of a layered medium from an elastography measurement where optical coherence tomography is use…
Quantitative OCT reconstructions for dispersive media
Peter Elbau, Leonidas Mindrinos, Leopold Veselka
We consider the problem of reconstructing the position and the time-dependent optical properties of a linear dispersive medium from OCT measurements. The medium is multi-layered de…
On the Non-Linear Integral Equation Approach for an Inverse Boundary Value Problem for the Heat Equation
Roman Chapko, Leonidas Mindrinos
We consider the inverse problem of reconstructing the interior boundary curve of a doubly connected domain from the knowledge of the temperature and the thermal flux on the exterio…
On a boundary integral solution of a lateral planar Cauchy problem in elastodynamics
Roman Chapko, B. Tomas Johansson, Leonidas Mindrinos
A boundary integral based method for the stable reconstruction of missing boundary data is presented for the governing hyperbolic equation of elastodynamics in annular planar domai…
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…
On the numerical solution of the elastodynamic problem by a boundary integral equation method
Roman Chapko, Leonidas Mindrinos
A numerical method for the Dirichlet initial boundary value problem for the elastic equation in the exterior and unbounded region of a smooth closed simply connected 2-dimensional…
The inverse electromagnetic scattering problem by a penetrable cylinder at oblique incidence
Drossos Gintides, Leonidas Mindrinos
In this work we consider the method of non-linear boundary integral equation for solving numerically the inverse scattering problem of obliquely incident electromagnetic waves by a…
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…