Monotonicity-based shape reconstruction for an inverse scattering problem in a waveguide
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Publication:6162743
DOI10.1088/1361-6420/acd4e0zbMath1517.35254OpenAlexW4376271752MaRDI QIDQ6162743
Tilo Arens, Roland Griesmaier, Ruming Zhang
Publication date: 16 June 2023
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6420/acd4e0
Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30)
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Cites Work
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- Convergence and regularization for monotonicity-based shape reconstruction in electrical impedance tomography
- The regularized monotonicity method: detecting irregular indefinite inclusions
- Localized potentials in electrical impedance tomography
- Reconstruction of a penetrable obstacle in periodic waveguides
- Sampling type methods for an inverse waveguide problem
- A sampling type method in an electromagnetic waveguide
- Inverse medium scattering for a nonlinear Helmholtz equation
- Monotonicity and local uniqueness for the Helmholtz equation
- An integral equation for Maxwell's equations in a layered medium with an application to the factorization method
- The factorization and monotonicity method for the defect in an open periodic waveguide
- Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation
- Monotonicity in inverse scattering for Maxwell's equations
- An inverse acoustic waveguide problem in the time domain
- Difference Factorizations and Monotonicity in Inverse Medium Scattering for Contrasts with Fixed Sign on the Boundary
- On the identification of defects in a periodic waveguide from far field data
- Direct and Inverse Medium Scattering in a Three-Dimensional Homogeneous Planar Waveguide
- On the use of sampling methods to identify cracks in acoustic waveguides
- Local uniqueness for an inverse boundary value problem with partial data
- Transmission problems for the Helmholtz equation
- Size estimation of inclusion
- Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
- The Inverse Conductivity Problem with One Measurement: Stability and Estimation of Size
- Comparison of linear and non-linear monotonicity-based shape reconstruction using exact matrix characterizations
- Monotonicity and Enclosure Methods for the $p$-Laplace Equation
- On Localizing and Concentrating Electromagnetic Fields
- Monotonicity in Inverse Medium Scattering on Unbounded Domains
- The Reconstruction of Obstacles in a Waveguide Using Finite Elements
- A new non-iterative inversion method for electrical resistance tomography
- Remarks on the factorization and monotonicity method for inverse acoustic scatterings
- Erratum: Monotonicity in Inverse Medium Scattering on Unbounded Domains
- The monotonicity principle for magnetic induction tomography
- Monotonicity in inverse obstacle scattering on unbounded domains
- Monotonicity-Based Reconstruction of Extreme Inclusions in Electrical Impedance Tomography
- Factorization method versus migration imaging in a waveguide
- Monotonicity-Based Inversion of the Fractional Schrödinger Equation II. General Potentials and Stability
- Dimension Bounds in Monotonicity Methods for the Helmholtz Equation
- Monotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive Potentials
- Inverse Acoustic and Electromagnetic Scattering Theory
- Inside–outside duality with artificial backgrounds
- Near-field linear sampling method for an inverse problem in an electromagnetic waveguide
- Monotonicity-Based Shape Reconstruction in Electrical Impedance Tomography
- The inside–outside duality for scattering problems by inhomogeneous media
- Variational formulations for scattering in a three‐dimensional acoustic waveguide
- The linear sampling method in a waveguide: a modal formulation
- Monotonicity Principle in tomography of nonlinear conducting materials *
- Single Mode Multi-Frequency Factorization Method for the Inverse Source Problem in Acoustic Waveguides
