Complex nonlinear parameter estimation (CNPE) and obstacle shape reconstruction
DOI10.1016/j.camwa.2014.02.011zbMath1350.65011OpenAlexW1999283463MaRDI QIDQ316694
Publication date: 27 September 2016
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2014.02.011
algorithmnonlinearHelmholtz equationill-posedinverse scatteringshape reconstructioncomplex nonlinear least squarescomplex nonlinear parameter estimation
Point estimation (62F10) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Numerical solution to inverse problems in abstract spaces (65J22)
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- Huygens' principle and iterative methods in inverse obstacle scattering
- Qualitative methods in inverse scattering theory. An introduction
- A trust-region algorithm for global optimization
- An introduction to mathematics of emerging biomedical imaging
- Estimation techniques for distributed parameter systems
- Comparison of parametric and nonparametric methods for the analysis and inversion of immittance data: critique of earlier work.
- Nonlinear integral equation methods for the reconstruction of an acoustically sound-soft obstacle
- Local minima in hierarchical structures of complex-valued neural networks
- The Linear Sampling Method in Inverse Electromagnetic Scattering
- Newton’s Method with a Model Trust Region Modification
- The domain derivative and two applications in inverse scattering theory
- Frechet differentiability of boundary integral operators in inverse acoustic scattering
- A survey of the physical optics inverse scattering identity
- Trust Region Methods
- A simple method for solving inverse scattering problems in the resonance region
- Level Set Methods for Structural Inversion and Image Reconstruction
- Sampling Methods
- Inverse Scattering
- A survey on sampling and probe methods for inverse problems
- A new algorithm for the shape reconstruction of perfectly conducting objects
- On uniqueness in the inverse obstacle problem via the positive supersolutions of the Helmholtz equation
- Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern
- Complex Linear Least Squares
- Nonlinear integral equations and the iterative solution for an inverse boundary value problem
- Inverse acoustic and electromagnetic scattering theory
