Mathematical and Numerical Study of a Three-Dimensional Inverse Eddy Current Problem
DOI10.1137/19M1282866zbMath1447.35307arXiv1908.08683OpenAlexW3034558515MaRDI QIDQ5113811
Jun Zou, Junqing Chen, Ying Liang
Publication date: 17 June 2020
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.08683
Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical optimization and variational techniques (65K10) Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Target detection and characterization from electromagnetic induction data
- Eddy current approximation of Maxwell equations. Theory, algorithms and applications
- On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
- Detection and classification from electromagnetic induction data
- Computational Methods in Geophysical Electromagnetics
- An Adaptive Finite Element Method for the Eddy Current Model with Circuit/Field Couplings
- An Inverse Source Problem for Maxwell's Equations in Magnetoencephalography
- An adaptive edge element method and its convergence for a Saddle-Point problem from magnetostatics
- Inverse source problems for eddy current equations
- Numerical estimation of the Robin coefficient in a stationary diffusion equation
- Singularities of Maxwell interface problems
- Vector potentials in three-dimensional non-smooth domains
- An Augmented Lagrangian Method for Identifying Discontinuous Parameters in Elliptic Systems
- Singularities of eddy current problems
- Finite Element Methods for Maxwell's Equations
- Eddy-current evaluation of three-dimensional defects in a metal plate
- Inverse dipole source problem for time-harmonic Maxwell equations: algebraic algorithm and Hölder stability
- Simultaneous identification of electric permittivity and magnetic permeability
- Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces
