An optimal control problem in photoacoustic tomography

DOI10.1142/S0218202514500286zbMath1298.49054OpenAlexW2147335602MaRDI QIDQ3191260

Bergounioux, Maïtine, Thomas Haberkorn, Xavier Bonnefond, Yannick Privat

Publication date: 1 October 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202514500286

zbMATH Keywords

optimal controlinverse problemphotoacoustic tomography

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Inverse problems in thermodynamics and heat transfer (80A23) Inverse problems in optimal control (49N45) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (11)

A Priori Error Estimates for Obstacle Optimal Control Problem, Where the Obstacle Is the Control Itself ⋮ A Fast and Stable Preconditioned Iterative Method for Optimal Control Problem of Wave Equations ⋮ A path-following inexact Newton method for PDE-constrained optimal control in BV ⋮ Quantitative thermoacoustic tomography with microwaves sources ⋮ Analysis of the Linearized Problem of Quantitative Photoacoustic Tomography ⋮ On the uniqueness and stability of an inverse problem in photo-acoustic tomography ⋮ A time reversal algorithm in acoustic media with Dirac measure approximations ⋮ Parameter-robust preconditioning for the optimal control of the wave equation ⋮ How to position sensors in thermo-acoustic tomography ⋮ Numerical solution of bilateral obstacle optimal control problem, where the controls and the obstacles coincide ⋮ Image Reconstruction in Quantitative Photoacoustic Tomography with the Simplified $P_2$ Approximation

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