17 citations · 112 across the 25 of their papers we have counts for
10 papers · 1 filter
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…
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…
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…
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…
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…
Mathematical Modelling of Optical Coherence Tomography
Peter Elbau, Leonidas Mindrinos, Otmar Scherzer
In this chapter a general mathematical model of Optical Coherence Tomography (OCT) is presented on the basis of the electromagnetic theory. OCT produces high resolution images of t…