An iterative method for parameter identification and shape reconstruction

DOI10.1080/17415970903233622zbMath1182.65166OpenAlexW2008786516MaRDI QIDQ5852178

María-Luisa Rapún, Ana Carpio

Publication date: 26 January 2010

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970903233622

zbMATH Keywords

algorithmboundary element methodnumerical experimentsparameter identificationHelmholtz equationinverse scatteringtopological derivativenon-destructive testingtime harmonicdomain reconstructioninverse transmission problems

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (5)

Noninvasive Imaging of Three-Dimensional Micro and Nanostructures by Topological Methods ⋮ Detection of scatterers using an XFEM-BEM level set solver based on the topological derivative ⋮ The method of fundamental solutions for Helmholtz-type equations in composite materials ⋮ Numerical methods for direct and inverse problems in acoustics and photothermal science ⋮ Hybrid topological derivative-gradient based methods for nondestructive testing

Cites Work

• Domain reconstruction using photothermal techniques
• From imaging to material identification: a generalized concept of topological sensitivity
• A level-set approach for inverse problems involving obstacles Fadil SANTOSA
• Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics
• A mixed-FEM and BEM coupling for the approximation of the scattering of thermal waves in locally non-homogeneous media
• Topological Derivatives for Shape Reconstruction
• Solving inhomogeneous inverse problems by topological derivative methods
• Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set
• Inverse problems in elasticity
• Level set methods for inverse scattering
• A new method in inverse scattering based on the topological derivative

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