A direct method for reconstructing inclusions and boundary conditions from electrostatic data
From MaRDI portal
Publication:6099957
DOI10.1080/00036811.2021.1991326zbMath1518.35250arXiv1704.07479OpenAlexW3205083621MaRDI QIDQ6099957
Publication date: 21 June 2023
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.07479
integral equationsinverse boundary value problemsshape reconstructionboundary impedancesampling methods
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for ill-posed problems for integral equations (65R30) Inverse problems for integral equations (45Q05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A qualitative approach to inverse scattering theory
- The linear sampling method for anisotropic media
- Inverse Dirichlet problem and conformal mapping
- A MUSIC-type algorithm for detecting internal corrosion from electrostatic boundary measure\-ments
- Explicit Characterization of Inclusions in Electrical Impedance Tomography
- Recovering an obstacle and its impedance from Cauchy data
- Uniqueness for the determination of unknown boundary and impedance with the homogeneous Robin condition
- Why linear sampling works
- A simple method for solving inverse scattering problems in the resonance region
- A convergent data completion algorithm using surface integral equations
- Indicator Functions for Shape Reconstruction Related to the Linear Sampling Method
- Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method
- An improved time domain linear sampling method for Robin and Neumann obstacles
- Conformal mappings and inverse boundary value problems
- Linear integral equations
This page was built for publication: A direct method for reconstructing inclusions and boundary conditions from electrostatic data
