activity
20122026
most citedReconstruction of shapes and refractive indices from backscattering experimental data using the adaptivity

38 citations · 157 across the 29 of their papers we have counts for

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Showing 2015 · math.NAShow all

5 papers · 2 filters

math.NA2015★ 17 cited

Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations

Larisa Beilina, Michel Cristofol, Kati Niinimäki

We consider the inverse problem of the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions of the Maxwell's system in 3D with limited bou…

math.NA2015★ 1 cited

An adaptive finite element method in reconstruction of coefficients in Maxwell's equations from limited observations

Larisa Beilina, Samar Hosseinzadegan

We propose an adaptive finite element method for the solution of a coefficient inverse problem of simultaneous reconstruction of the dielectric permittivity and magnetic permeabili…

math.NA2015

Numerical studies of the Lagrangian approach for reconstruction of the conductivity in a waveguide

Larisa Beilina, Kati Niinimäki

We consider an inverse problem of reconstructing the conductivity function in a hyperbolic equation using single space-time domain noisy observations of the solution on the backsca…

math.NA2015★ 23 cited

Domain decomposition finite element/finite difference method for the conductivity reconstruction in a hyperbolic equation

L. Beilina

We present domain decomposition finite element/finite difference method for the solution of hyperbolic equation. The domain decomposition is performed such that finite elements and…

math.NA2015

Numerical studies of an adaptive finite element method applied to the reconstruction of shapes of buried objects from experimental data

Larisa Beilina, Nguyen Trung Thành, Michael V. Klibanov +1

We perform extended studies of an adaptive finite element method applied to the reconstruction of shapes of buried objects from experimental backscattering data. We use experimenta…