New computational methods for inverse wave scattering with a new filtering technique. Inverse wave scattering

DOI10.1007/s11081-021-09638-8OpenAlexW3157341543MaRDI QIDQ2069142

Miloje S. Radenkovic, Mohsen Tadi

Publication date: 20 January 2022

Published in: Optimization and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11081-021-09638-8

zbMATH Keywords

moment problemHelmholtz equationTikhonov regularizationleast-square solutiontailored filtering

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Related Items (3)

A unified solution method for linear elliptic Cauchy problems ⋮ A numerical method for inverse Helmholtz problem based on approximate inverse of a matrix ⋮ A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain

Cites Work

• Moment theory and some inverse problems in potential theory and heat conduction
• Functions, spaces, and expansions. Mathematical tools in physics and engineering
• Computational methods for some inverse scattering problems
• A level set evolution strategy in microwave imaging for early breast cancer detection
• Homotopy perturbation method and Chebyshev polynomials for solving a class of singular and hypersingular integral equations
• A computational method for an inverse problem in a parabolic system
• 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
• Two reconstruction procedures for a 3D phaseless inverse scattering problem for the generalized Helmholtz equation
• Numerical approximation of the potential in the two-dimesional inverse scattering problem
• Dual reciprocity boundary element method solution of the Cauchy problem for Helmholtz-type equations with variable coefficients
• An inverse problem for Helmholtz equation
• Inverse scattering for the one-dimensional Helmholtz equation with piecewise constant wave speed
• Recent Developments in Inverse Acoustic Scattering Theory
• Linear and Nonlinear Inverse Problems with Practical Applications
• A new version of the convexification method for a 1D coefficient inverse problem with experimental data
• An iterative approach to non-overdetermined inverse scattering at fixed energy

This page was built for publication: New computational methods for inverse wave scattering with a new filtering technique. Inverse wave scattering