Reconstructions for some coupled-physics inverse problems

DOI10.1016/J.AML.2012.03.005zbMath1252.65185arXiv1203.1210OpenAlexW2048626184MaRDI QIDQ441906

Guillaume Bal, Gunther Uhlmann

Publication date: 8 August 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1210

zbMATH Keywords

inverse problemselliptic equationshybrid inverse problemsanisotropic reconstructionscoupled-physics inverse problems

Mathematics Subject Classification ID

Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (13)

Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems ⋮ A Note on Reconstructing the Conductivity in Impedance Tomography by Elastic Perturbation ⋮ Reconstruction of a Fully Anisotropic Elasticity Tensor from Knowledge of Displacement Fields ⋮ Compton camera imaging and the cone transform: a brief overview ⋮ Quantitative photoacoustic imaging in the acoustic regime using SPIM ⋮ A numerical comparison of some heuristic stopping rules for nonlinear Landweber iteration ⋮ Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging ⋮ Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography ⋮ Inverse problems: seeing the unseen ⋮ Lamé Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems ⋮ Reconstruction of Coefficients in Scalar Second-Order Elliptic Equations from Knowledge of Their Solutions ⋮ Inverse Anisotropic Conductivity from Power Densities in Dimensionn ≥ 3 ⋮ 30 years of Calderón's problem

Cites Work

• An introduction to mathematics of emerging biomedical imaging
• Quantitative thermo-acoustic imaging: an exact reconstruction formula
• Reconstruction of Coefficients in Scalar Second-Order Elliptic Equations from Knowledge of Their Solutions
• Quantitative thermo-acoustics and related problems
• Multi-source quantitative photoacoustic tomography in a diffusive regime
• On multi-spectral quantitative photoacoustic tomography in diffusive regime
• Mathematics of thermoacoustic tomography
• Calculating tissue shear modulus and pressure by 2D log-elastographic methods
• Inverse diffusion theory of photoacoustics
• Handbook of Mathematical Methods in Imaging
• Thermoacoustic tomography with variable sound speed
• Hybrid inverse problems and internal functionals

This page was built for publication: Reconstructions for some coupled-physics inverse problems