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20122026
most citedLipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations

23 citations · 44 across the 8 of their papers we have counts for

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9 papers · 1 filter

math.NA2026

Variational optimization approach for reconstruction of dielectric permittivity and conductivity functions using partial boundary measurements

Eric Lindström, Larisa Beilina

We present a variational optimization approach for the solution of a coefficient inverse problem of simultaneous reconstruction of the dielectric permittivity and conductivity func…

math.NA2025

A time-adaptive optimization approach for reconstructing immune response in a mathematical model of acute HIV infection using clinical data

L. Beilina, I. Gainova, G. Bocharov

The paper proposes a time-adaptive optimization approach for determining the time-dependent immune response function in a mathematical model of acute HIV infection, using clinical…

math.NA2025

Reconstruction of source function in a parabolic equation using partial boundary measurements

T. Sharma, L. Beilina, K. Sakthivel

In this paper, we present the analytical and numerical study of the optimization approach for determining the space-dependent source function in the parabolic inverse source proble…

math.NA202219 cited

An adaptive finite element/finite difference domain decomposition method for applications in microwave imaging

Larisa Beilina, Eric Lindström

A new domain decomposition method for Maxwell's equations in conductive media is presented. Using this method reconstruction algorithms are developed for determination of dielectri…

math.NA2021

Stability and convergence analysis of a domain decomposition FE/FD method for the Maxwell's equations in time domain

Mohammad Asadzadeh, Larisa Beilina

Stability and convergence analysis for the domain decomposition finite element/finite difference (FE/FD) method is presented. The analysis is designed for semi-discrete finite elem…

math.NA20212 cited

Interactive Change Point Detection using optimisation approach and Bayesian statistics applied to real world applications

Rebecca Gedda, Larisa Beilina, Ruomu Tan

Change point detection becomes more and more important as datasets increase in size, where unsupervised detection algorithms can help users process data. To detect change points, a…