Level set and optimal control for the inverse inclusion reconstruction in electrical impedance tomography modeling

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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)

Cites Work

A shape optimization approach for a class of free boundary problems of Bernoulli type.
Review on mathematical modelling of electroencephalography (EEG)
Optimal control of the free boundary in a two-phase Stefan problem
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
Lectures on Cauchy's problem in linear partial differential equations.
On inverse problems for characteristic sources in Helmholtz equations
Shape optimization problems
Optimal Bayesian experimental design for electrical impedance tomography in medical imaging
Augmented Lagrangian approach for a bilateral free boundary problem
Reconstruction algorithms of an inverse source problem for the Helmholtz equation
Using process tomography as a sensor for optimal control
Numerical Approximation of Partial Differential Equations
Inverse Obstacle Problem for the Non-Stationary Wave Equation with an Unknown Background
Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
Shape Reconstruction of Conductivity Interface Problems
Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes
A New Method for the Data Completion Problem and Application to Obstacle Detection
The Reconstruction of Obstacles in a Waveguide Using Finite Elements
Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition
New development in freefem++
An iterative method for optimal control of bilateral free boundaries problem
Recent trends and advances in solving the inverse problem for EEG source localization
A shape optimization approach for electrical impedance tomography with point measurements
Shape optimization methods for the inverse obstacle problem with generalized impedance boundary conditions
An efficient and robust algorithm for source reconstruction in the Helmholtz equation

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