A STOPPING RULE FOR THE CONJUGATE GRADIENT REGULARIZATION METHOD APPLIED TO INVERSE PROBLEMS IN ACOUSTICS

DOI10.1142/S0218396X06003116zbMath1198.65080OpenAlexW1971692027MaRDI QIDQ3056112

Tomasz Hrycak, Thomas K. Delillo

Publication date: 10 November 2010

Published in: Journal of Computational Acoustics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218396x06003116

zbMATH Keywords

Helmholtz equationiterative regularizationill-posed problemsconjugate gradientparameter choice strategiesinverse problems in acoustics

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (1)

Weighted conjugate gradient-type methods for solving quadrature discretization of Fredholm integral equations of the first kind

Uses Software

• Regularization tools
• BIEPACK

Cites Work

• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• An implicit shift bidiagonalization algorithm for ill-posed systems
• The Detection of the Source of Acoustical Noise in Two Dimensions
• Choosing Regularization Parameters in Iterative Methods for Ill-Posed Problems
• On theory and application of the Helmholtz equation least squares method in inverse acoustics
• Iterative SVD-Based Methods for Ill-Posed Problems
• Rank-Deficient and Discrete Ill-Posed Problems
• The detection of surface vibrations from interior acoustical pressure
• A General Heuristic for Choosing the Regularization Parameter in Ill-Posed Problems
• Iterative Regularization and MINRES
• THEORY AND BOUNDARY ELEMENT METHODS FOR NEAR-FIELD ACOUSTIC HOLOGRAPHY

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