Larisa Beilina

Energy norm error estimates and convergence analysis for a stabilized Maxwell's equations in conductive media

2024

Time-Adaptive Determination of Drug Efficacy in Mathematical Model of HIV Infection

2023

A stabilized P1 domain decomposition finite element method for time harmonic Maxwell’s equations

A Posteriori Error Estimates and Adaptive Error Control for Permittivity Reconstruction in Conductive Media

Methods of Quantitative Reconstruction for Acoustic Coefficient Inverse Problem

Numerical Validation of Optimization Approach for Solution of Coefficient Inverse Problem in Pseudo-Frequency Domain

Truncated SVD for Applications in Microwave Thermometry

Gas Dynamics with Applications in Industry and Life Sciences

2023

Change Point Detection for Process Data Analytics Applied to a Multiphase Flow Facility

A Discontinuous Galerkin Approach for Stabilized Maxwell’s Equations in Pseudo-Frequency Domain

On the Maxwell-wave equation coupling problem and its explicit finite-element solution

2022

Stability and Convergence Analysis of a Domain Decomposition FE/FD Method for Maxwell’s Equations in the Time Domain

2022

An adaptive finite element method for solving 3D electromagnetic volume integral equation with applications in microwave thermometry

2022

An Adaptive Finite Element/Finite Difference Domain Decomposition Method for Applications in Microwave Imaging

Convergence of stabilized p1 finite element scheme for time harmonic maxwell’s equations

In celebration of the 75th birthday of Professor Anatoly Yagola

2020

Microwave thermometry with potential application in non-invasive monitoring of hyperthermia

2020

Numerical analysis of least squares and perceptron learning for classification problems

Convergence of explicit p1 Finite-Element Solutions to Maxwell’s Equations

Preface to Springer Proceedings in Mathematics and Statistics

The finite element method and balancing principle for magnetic resonance imaging

2018

A Priori Error Estimates and Computational Studies for a Fermi Pencil-Beam Equation

On finite element method for magnetic resonance imaging

Determining the conductivity for a nonautonomous hyperbolic operator in a cylindrical domain

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

Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations

Uniqueness, stability and numerical reconstruction of a time and space-dependent conductivity for an inverse hyperbolic problem

Computational design of acoustic materials using an adaptive optimization algorithm

An adaptive finite element method in quantitative reconstruction of small inclusions from limited observations

2017

Reconstruction of annular bi-layered media in cylindrical waveguide section

2017

Adaptive finite element method in nanophotonic simulations

2017

Finite element schemes for Fermi equation

Preface for the session "recent Progress in Electromagnetic Field Theory and New Trends in Inverse Problems"

Numerical linear algebra: Theory and applications

2017

Quantitative imaging technique using the layer-stripping algorithm

2017

Iterative regularization and adaptivity for an electromagnetic coefficient inverse problem

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

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

Computational design of nanophotonic structures using an adaptive finite element method

Adaptive finite element method for the solution of electromagnetic inverse problem using limited observations

Adaptive optimization algorithm for the computational design of nanophotonic structures

Uniqueness and stability of time and space-dependent conductivity in a hyperbolic cylindrical domain

System and Method for Multiphase Flow Measurements

Reconstruction of Dielectric Constants of Multi-Layered Optical Fibers Using Propagation Constants Measurements

Application of the finite element method in a quantitative imaging technique

Reconstruction of dielectric constants in a cylindrical waveguide

Simultaneous reconstruction of Maxwell’s coefficients from backscattering data

2015

Imaging of buried objects from experimental backscattering time dependent measurements using a globally convergent inverse algorithm

Globally strongly convex cost functional for a coefficient inverse problem

The layer-stripping algorithm for reconstruction of dielectrics in an optical fiber

Inverse problems and applications

Time-adaptive FEM for distributed parameter identification in mathematical model of HIV infection with drug therapy

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

Determination of permittivity from propagation constant measurements in optical fibers

Globally convergent and adaptive finite element methods in imaging of buried objects from experimental backscattering radar measurements

Methods of quantitative reconstruction of shapes and refractive indices from experimental data

Relaxation property for the adaptivity for ill-posed problems

2014

Reconstruction of the Refractive Index from Experimental Backscattering Data Using a Globally Convergent Inverse Method

Inverse eigenvalue problems in the theory of weakly guiding step-index optical fibres

An approximate globally convergent algorithm in a frequency domain for reconstruction of dielectrics in Maxwell equations

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

Statistical analysis of extreme changes in the muscular strength in the extremities

Reconstruction of shapes and refractive indices from backscattering experimental data using the adaptivity

2014

Reconstruction of Dielectric Constants of Core and Cladding of Optical Fibers Using Propagation Constants Measurements

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

Reconstruction from blind experimental data for an inverse problem for a hyperbolic equation

Solving the unsolvable

Approximate globally convergent algorithm with applications in electrical prospecting

Quantitative image recovery from measured blind backscattered data using a globally convergent inverse method

Adaptive approximate globally convergent algorithm with backscattered data.

Adaptive finite element method in reconstruction of dielectrics from backscattered data

Approximate global convergence in imaging of land mines from backscattered data

A posteriori error estimates for Fredholm integral equations of the first kind

2013

An adaptive finite element method for Fredholm integral equations of the first kind and its verification on experimental data

Inverse Problems and Large-Scale Computations

Adaptive FEM with relaxation for a hyperbolic coefficient inverse problem

2013

Energy estimates and numerical verification of the stabilized Domain Decomposition Finite Element/Finite Difference approach for time-dependent Maxwell's system

Reconstruction from blind experimental data for an inverse problem for a hyperbolic equation

Time-adaptive FEM for distributed parameter identification in biological models

Reconstruction of the refractive index from experimental backscattering data using a globally convergent inverse method

Applied Inverse Problems. Select Contributions from the First Annual Workshop on Inverse Problems

An adaptive finite element method for Fredholm integral equations of the first kind and its verification on experimental data

A posteriori error estimates for Fredholm integral equations of the first kind

A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data

Time-adaptive FEM for distributed parameter identification in biological models

Approximate global convergence and quasi-reversibility for a coefficient inverse problem with backscattering data

Relaxation property of the adaptivity technique for some ill-posed problems

Blind backscattering experimental data collected in the field and an approximately globally convergent inverse algorithm

Adaptive approximate globally convergent algorithm with backscattered data

Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems

Approximate global convergence in imaging of land mines from backscattered data

Adaptive FEM with relaxation for a hyperbolic coefficient inverse problem

The philosophy of the approximate global convergence for multidimensional coefficient inverse problems

Adaptive Finite Element Method for a coefficient inverse problem for the Maxwell's system

Reconstruction of dielectrics in a symmetric structure via adaptive algorithm with backscattering data

Why a minimizer of the Tikhonov functional is closer to the exact solution than the first guess

New a posteriori error estimates for adaptivity technique and global convergence for a hyperbolic coefficient inverse problem

Blind backscattering experimental data collected in the field and an approximately globally convergent inverse algorithm

Domain decomposition finite element/finite difference approach for the Maxwell's system in time domain

Approximate global convergence and quasi-reversibility for a coefficient inverse problem with backscattering data

Adaptive finite element method for the Fredholm integral equation of the first kind and its verification on the experimental data

Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem

Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D

Adaptivity with relaxation for ill-posed problems and global convergence for a coefficient inverse problem

2010

Adaptive Finite Element Method for an Electromagnetic Coefficient Inverse Problem

Globally convergent numerical methods for coefficient inverse problems for imaging inhomogeneities

Adaptive Hybrid Finite Element/Difference method for Maxwell's equations

Reconstruction of dielectrics from experimental data via a hybrid globally convergent/adaptive inverse algorithm

Recent Advances in Numerical Methods for Inverse Problems Resolution

2010

Global convergence for Inverse Problems

Adaptive Hybrid Finite Element/Difference method for Maxwell's equations: an a priory error estimate and efficiency

Reconstruction of dielectrics from experimental data via a hybrid globally convergent/adaptive inverse algorithm

Adaptive finite element method for a coefficient inverse problem for the Maxwell's system

A posteriori error estimates in a globally convergent FEM for a hyperbolic coefficient inverse problem

A posteriori error estimates for the adaptivity technique for the Tikhonov functional and global convergence for a coefficient inverse problem

A posteriori error estimates in a globally convergent FEM for a hyperbolic coefficient inverse problem

Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem

2010

Hybrid Discontinuous Finite Element/Finite Difference Method for Maxwell's Equations

Adaptivity with relaxation for ill-posed problems and global convergence for a coefficient inverse problem

A globally convergent numerical method and the adaptivity technique for a hyperbolic coefficient inverse problem. Part II: numerical studies

Adaptive algorithm for an inverse electromagnetic scattering problem

Globally convergent numerical methods for coefficient inverse problems for imaging inhomogeneities

A globally convergent numerical method and the adaptivity technique for a hyperbolic coefficient inverse problem. Part I: analytical study

A posteriori error estimates for the adaptivity technique for the Tikhonov functional and global convergence for a coefficient inverse problem

Synthesis of Global Convergence and Adaptivity for a Hyperbolic Coefficient Inverse Problems in 3D

A Globally Convergent Numerical Method and Adaptivity for a Hyperbolic Coefficient Inverse Problem

A globally convergent numerical method for a coefficient inverse problem

A posteriori error estimation in biomedical imaging

A posteriori error estimation for an inverse scattering problem

An adaptive hybrid FEM/FDM method for an inverse scattering problem in scanning acoustic microscopy

An inverse medium problem for scanning acoustic microscopy

Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners

A posteriori error estimation in computational inverse scattering

Adaptive finite element/difference methods for time-dependent inverse scattering problems

Efficiency of a hybrid method for elastic waves

Hybrid FEM/FDM method for an inverse scattering problem

Adaptive hybrid finite element/difference methods: applications to inverse elastic scattering

Adaptive finite elemen/difference method for inverse elastic scattering waves

2002

Adaptive hybrid FEM/FDM methods for inverse scattering problems

Adaptive Finite element/Difference methods for inverse elastic scattering waves

Adaptive hybrid FEM/FDM methods for inverse scattering problems

Osmotic mass transfer through a cylindric semipermeable membrane