Adaptive Spectral Inversion for inverse medium problems
From MaRDI portal
Publication:6087350
DOI10.1088/1361-6420/ad01d4arXiv2303.05229OpenAlexW4387483914MaRDI QIDQ6087350
Yannik G. Gleichmann, Marcus J. Grote
Publication date: 15 November 2023
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.05229
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Miscellaneous topics in partial differential equations (35Rxx) Numerical analysis in abstract spaces (65Jxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear spectral analysis via one-homogeneous functionals: overview and future prospects
- Iterative regularization methods for nonlinear ill-posed problems
- Regularisierung schlecht gestellter Probleme durch Projektionsverfahren
- Numerical resolution of an electromagnetic inverse medium problem at fixed frequency
- A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
- Error estimates for adaptive spectral decompositions
- Adaptive eigenspace for multi-parameter inverse scattering problems
- A time domain point source method for inverse scattering by rough surfaces
- Nonlinear regularization techniques for seismic tomography
- Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation
- A convergence analysis of regularization by discretization in preimage space
- A new approach to solve the inverse scattering problem for waves: combining the TRAC and the adaptive inversion methods
- Adaptive eigenspace method for inverse scattering problems in the frequency domain
- HIGHER-ORDER MASS-LUMPED FINITE ELEMENTS FOR THE WAVE EQUATION
- Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
- Spectral Decompositions Using One-Homogeneous Functionals
- Optimal a Posteriori Parameter Choice for Tikhonov Regularization for Solving Nonlinear Ill-Posed Problems
- Regularization by projection with a posteriori discretization level choice for linear and nonlinear ill-posed problems
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- An Effective Method for Parameter Estimation with PDE Constraints with Multiple Right-Hand Sides
- Logarithmic stability in determination of a 3D viscoelastic coefficient and a numerical example
- Adaptive spectral decompositions for inverse medium problems
- How to solve inverse scattering problems without knowing the source term: a three-step strategy
- Regularization by projection: Approximation theoretic aspects and distance functions
- An Iteration Formula for Fredholm Integral Equations of the First Kind
- Convex analysis and monotone operator theory in Hilbert spaces
- An introduction to the mathematical theory of inverse problems
