17 citations · 29 across the 6 of their papers we have counts for
6 papers
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…
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…
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 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…