38 citations · 157 across the 29 of their papers we have counts for
6 papers · 1 filter
Uniqueness and stability of time and space-dependent conductivity in a hyperbolic cylindrical domain
L. Beilina, M. Cristofol, S. Li
This paper is devoted to the reconstruction of the time and space-dependent coefficient in an infinite cylindrical hyperbolic domain. Using a local Carleman estimate we prove the u…
A priori error estimates and computational studies for a Fermi pencil-beam equation
M. Asadzadeh, L. Beilina, M. Naseer +1
We derive a priori error estimates for the standard Galerkin and streamline diffusion finite element methods for the Fermi pencil-beam equation obtained from a fully three dimensio…
Computational design of nanophotonic structures using an adaptive finite element method
L. Beilina, L. Mpinganzima, P. Tassin
We consider the problem of the construction of the nanophotonic structures of arbitrary geometry with prescribed desired properties. We reformulate this problem as an optimization…
Application of the Finite Element Method in a Quantitative Imaging technique
L. Beilina
We present the Finite Element Method (FEM) for the numerical solution of the multidimensional coefficient inverse problem (MCIP) in two dimensions. This method is used for explicit…
Reconstruction of annular bi-layered media in cylindrical waveguide section
Anders Eriksson, Truls Martin Larsen, Larisa Beilina
A radial transverse resonance model for two cylindrical concentric layers with different complex dielectric constants is presented. An inverse problem with four unknowns - 3 physic…
An Adaptive Finite Element Method in Quantitative Reconstruction of Small Inclusions from Limited Observations
John Bondestam Malmberg, Larisa Beilina
We consider a coefficient inverse problem for the dielectric permittivity in Maxwell's equations, with data consisting of boundary measurements of one or two backscattered or trans…