Reconstruction algorithms for an inverse medium problem.
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Publication:1642877
DOI10.21136/AM.2018.0114-17zbMath1488.65587OpenAlexW2792530305WikidataQ130049230 ScholiaQ130049230MaRDI QIDQ1642877
Publication date: 15 June 2018
Published in: Applications of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21136/am.2018.0114-17
ill-posed problemLevenberg-Marquardt algorithminverse medium problemtrust-region-reflective algorithm
Numerical mathematical programming methods (65K05) Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
Cites Work
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- On rational approximation methods for inverse source problems
- A global uniqueness theorem for an inverse boundary value problem
- Linear integral equations.
- On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds
- Direct Reconstruction Methods in Optical Tomography
- Reconstruction of Coefficients in Scalar Second-Order Elliptic Equations from Knowledge of Their Solutions
- Error Estimates for the Recurisvie Linearization of Inverse Medium Problems
- A reconstruction algorithm for ultrasound-modulated diffuse optical tomography
- Microwave Imaging by Elastic Deformation
- A direct sampling method to an inverse medium scattering problem
- Electrical Impedance Tomography by Elastic Deformation
- Mathematical models and reconstruction methods in magneto-acoustic imaging
- An Algorithm for Least-Squares Estimation of Nonlinear Parameters
- An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
- Acousto-electromagnetic Tomography
- Uniqueness and stability for the inverse medium problem with internal data
- Stability in the linearized problem of quantitative elastography
- New Stability Estimates for the Inverse Medium Problem with Internal Data
- Reconstruction of a Piecewise Smooth Absorption Coefficient by an Acousto-Optic Process
- A method for the solution of certain non-linear problems in least squares
- Inverse problems for partial differential equations
- Inverse acoustic and electromagnetic scattering theory
