A numerical method for inverse Helmholtz problem based on approximate inverse of a matrix

DOI10.1016/J.CAMWA.2023.09.020OpenAlexW4387204717MaRDI QIDQ6062195

Mohsen Tadi

Publication date: 30 November 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.09.020

zbMATH Keywords

inverse problemHelmholtz equationTikhonov regularizationmatrix inversion

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for integral equations (65R32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• A level set evolution strategy in microwave imaging for early breast cancer detection
• New computational methods for inverse wave scattering with a new filtering technique. Inverse wave scattering
• A meshless method for some inverse problems associated with the Helmholtz equation
• Solving a 1-D inverse medium scattering problem using a new multi-frequency globally strictly convex objective functional
• One dimensional acoustic direct nonlinear inversion using the Volterra inverse scattering series
• An inverse problem for Helmholtz equation
• Recent Developments in Inverse Acoustic Scattering Theory
• Linear and Nonlinear Inverse Problems with Practical Applications
• Inverse medium scattering for the Helmholtz equation at fixed frequency

This page was built for publication: A numerical method for inverse Helmholtz problem based on approximate inverse of a matrix