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20132023
most citedOptimal Reconstruction of Material Properties in Complex Multiphysics Phenomena

27 citations · 56 across the 7 of their papers we have counts for

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5 papers · 1 filter

math.OC2023★ 4 cited

Efficient Gradient-based Optimization for Reconstructing Binary Images in Applications to Electrical Impedance Tomography

Paul R. Arbic, Vladislav Bukshtynov

A novel and highly efficient computational framework for reconstructing binary-type images suitable for models of various complexity seen in diverse biomedical applications is deve…

math.OC2022★ 6 cited

Multiscale Optimization via Enhanced Multilevel PCA-based Control Space Reduction for Electrical Impedance Tomography Imaging

Maria M. F. M. Chun, Briana L. Edwards, Vladislav Bukshtynov

An efficient computational approach for imaging binary-type physical properties suitable for various models in biomedical applications is developed and validated. The proposed meth…

math.OC2020★ 3 cited

On Reconstruction of Binary Images by Efficient Sample-based Parameterization in Applications for Electrical Impedance Tomography

Paul R. Arbic, Vladislav Bukshtynov

An efficient computational approach for optimal reconstruction of binary-type images suitable for models in various applications including biomedical imaging is developed and valid…

math.OC2018★ 2 cited

Breast Cancer Detection through Electrical Impedance Tomography and Optimal Control Theory: Theoretical and Computational Analysis

Ugur G. Abdulla, Vladislav Bukshtynov, Saleheh Seif

The Inverse Electrical Impedance Tomography (EIT) problem on recovering electrical conductivity tensor and potential in the body based on the measurement of the boundary voltages o…

math.OC2018★ 11 cited

Gradient Method in Hilbert-Besov Spaces for the Optimal Control of Parabolic Free Boundary Problems

Ugur G. Abdulla, Vladislav Bukshtynov, Ali Hagverdiyev

This paper presents computational analysis of the inverse Stefan type free boundary problem, where information on the boundary heat flux is missing and must be found along with the…