A shape optimization approach for electrical impedance tomography with point measurements
DOI10.1088/1361-6420/ab9f87zbMath1453.78005arXiv1911.06074OpenAlexW3083483377WikidataQ122112886 ScholiaQ122112886MaRDI QIDQ5123701
Yuri Flores Albuquerque, Kevin Sturm, Antoine Laurain
Publication date: 29 September 2020
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.06074
shape optimizationelectrical impedance tomographyPDE-constrained optimizationdistributed shape derivativesharp-interface models
Numerical optimization and variational techniques (65K10) Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Optimization of shapes other than minimal surfaces (49Q10) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Optimization problems in optics and electromagnetic theory (78M50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
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