Error estimates for adaptive spectral decompositions

DOI10.1007/s10915-022-02004-5zbMath1504.65244arXiv2107.14513OpenAlexW3192437752MaRDI QIDQ2103450

Marcus J. Grote, Daniel Baffet, Yannik G. Gleichmann

Publication date: 13 December 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.14513

zbMATH Keywords

scattering problemimage segmentationinverse medium problemadaptive eigenspace inversionadaptive spectral decomposition

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Error bounds for boundary value problems involving PDEs (65N15) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (1)

Adaptive Spectral Inversion for inverse medium problems

Uses Software

• CUBTRI

Cites Work

• Unnamed Item
• Nonlinear spectral analysis via one-homogeneous functionals: overview and future prospects
• The total variation flow in \(\mathbb R^N\)
• Numerical resolution of an electromagnetic inverse medium problem at fixed frequency
• Adaptive eigenspace for multi-parameter inverse scattering problems
• 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
• Spectral Decompositions Using One-Homogeneous Functionals
• Algorithm 584: CUBTRI: Automatic Cubature over a Triangle
• Computational Methods for Inverse Problems
• A proof of the trace theorem of Sobolev spaces on Lipschitz domains
• 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
• Discrete Inverse Problems
• On the Uniform Poincaré Inequality

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