Duality between range and no-response tests and its application for inverse problems
From MaRDI portal
Publication:2037217
DOI10.3934/ipi.2020072zbMath1472.31010arXiv2004.09308OpenAlexW3106587348MaRDI QIDQ2037217
Yi-Hsuan Lin, Gen Nakamura, Haibing Wang, Roland W. E. Potthast
Publication date: 30 June 2021
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.09308
Second-order elliptic equations (35J15) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)
Related Items (5)
Corrigendum to: ``Duality between range and no-response tests and its application for inverse problems ⋮ Numerical studies of domain sampling methods for inverse boundary value problems by one measurement ⋮ Factorization method with one plane wave: from model-driven and data-driven perspectives ⋮ Factorization method for inverse time-harmonic elastic scattering with a single plane wave ⋮ Piecewise-analytic interfaces with weakly singular points of arbitrary order always scatter
Cites Work
- Unnamed Item
- Unnamed Item
- The range test and the no response test for Oseen problems: theoretical foundation
- A quasi-reversibility approach to solve the inverse obstacle problem
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- The no response test for the reconstruction of polyhedral objects in electromagnetics
- A conditional stability estimate for determining a cavity in an elastic material
- Analytic extension and reconstruction of obstacles from few measurements for elliptic second order operators
- The no-response approach and its relation to non-iterative methods for the inverse scattering
- A level set method for inverse problems
- Inverse Modeling
- A direct sampling method for electrical impedance tomography
- Inverse acoustic scattering by small-obstacle expansion of a misfit function
- A numerical method for finding the convex hull of polygonal cavities using the enclosure method
- A range test for determining scatterers with unknown physical properties
- The No Response Test---A Sampling Method for Inverse Scattering Problems
- Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data
- Stable determination of cavities in elastic bodies
- Unique continuation and identification of boundary of an elastic body
- On the Convergence of the No Response Test
- Nonlinear integral equations and the iterative solution for an inverse boundary value problem
- Inverse acoustic and electromagnetic scattering theory
- Inverse problems for partial differential equations
This page was built for publication: Duality between range and no-response tests and its application for inverse problems