Solving inhomogeneous inverse problems by topological derivative methods
From MaRDI portal
Publication:3521062
DOI10.1088/0266-5611/24/4/045014zbMath1153.35401OpenAlexW2013565263MaRDI QIDQ3521062
Publication date: 27 August 2008
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/24/4/045014
Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems in optimal control (49N45)
Related Items (46)
Defect detection from multi-frequency limited data via topological sensitivity ⋮ Topological imaging methods for the iterative detection of multiple impedance obstacles ⋮ Topological derivative for imaging of thin electromagnetic inhomogeneity: least condition of incident directions ⋮ Direct sampling method for imaging small dielectric inhomogeneities: analysis and improvement ⋮ Noninvasive Imaging of Three-Dimensional Micro and Nanostructures by Topological Methods ⋮ On the detection of several obstacles in 2D Stokes flow: topological sensitivity and combination with shape derivatives ⋮ Performance analysis of multi-frequency topological derivative for reconstructing perfectly conducting cracks ⋮ Seeing the invisible: digital holography ⋮ Self-support topology optimization considering distortion for metal additive manufacturing ⋮ Topological derivatives of shape functionals. part III: second-order method and applications ⋮ Cavity identification in elastic structures by explicit domain mapping and boundary mode sensitivity analysis ⋮ Detecting damage in thin plates by processing infrared thermographic data with topological derivatives ⋮ MUSIC algorithm for location searching of dielectric anomalies from \(S\)-parameters using microwave imaging ⋮ Detection of scatterers using an XFEM-BEM level set solver based on the topological derivative ⋮ Topological derivative strategy for one-step iteration imaging of arbitrary shaped thin, curve-like electromagnetic inclusions ⋮ Fast identification of cracks using higher-order topological sensitivity for 2-D potential problems ⋮ Numerical methods for direct and inverse problems in acoustics and photothermal science ⋮ On the solution of direct and inverse multiple scattering problems for mixed sound-soft, sound-hard and penetrable objects ⋮ When topological derivatives met regularized Gauss-Newton iterations in holographic 3D imaging ⋮ Detection of multiple impedance obstacles by non-iterative topological gradient based methods ⋮ Topological derivatives of shape functionals. II: First-order method and applications ⋮ Topological optimality condition for the identification of the center of an inhomogeneity ⋮ Multi-frequency topological derivative for approximate shape acquisition of curve-like thin electromagnetic inhomogeneities ⋮ Topology optimization of acoustic metasurfaces by using a two-scale homogenization method ⋮ Parameter identification in photothermal imaging ⋮ Topological sensitivity for vibro-acoustography applications ⋮ Apposition of the topological sensitivity and linear sampling approaches to inverse scattering ⋮ Noniterative Reconstruction Method for an Inverse Potential Problem Modeled by a Modified Helmholtz Equation ⋮ On the small-defect perturbation and sampling of heterogeneous solids ⋮ Application of the topological derivative to post-processing infrared time-harmonic thermograms for defect detection ⋮ Level Set Methods for Structural Inversion and Image Reconstruction ⋮ Topological Sensitivity for Solving Inverse Multiple Scattering Problems in Three-Dimensional Electromagnetism. Part II: Iterative Method ⋮ Optimization Methods for In-Line Holography ⋮ A new method for topology design of electromagnetic antennas in hyperthermia therapy ⋮ Multi-frequency subspace migration for imaging of perfectly conducting, arc-like cracks in full- and limited-view inverse scattering problems ⋮ Bayesian approach to inverse scattering with topological priors ⋮ A level-set-based topology optimisation for acoustic-elastic coupled problems with a fast BEM-FEM solver ⋮ Optimum design of a multi-functional acoustic metasurface using topology optimization based on Zwicker's loudness model ⋮ Topology optimization for hyperbolic acoustic metamaterials using a high-frequency homogenization method ⋮ Hybrid topological derivative-gradient based methods for nondestructive testing ⋮ Topological derivative-based technique for imaging thin inhomogeneities with few incident directions ⋮ An iterative method for parameter identification and shape reconstruction ⋮ A fast directional boundary element method for wideband multi-domain elastodynamic analysis ⋮ Asymptotic properties of MUSIC-Type Imaging in Two-Dimensional Inverse Scattering from Thin Electromagnetic Inclusions ⋮ Topological Sensitivity for Solving Inverse Multiple Scattering Problems in Three-dimensional Electromagnetism. Part I: One Step Method ⋮ A topology optimisation of acoustic devices based on the frequency response estimation with the Padé approximation
This page was built for publication: Solving inhomogeneous inverse problems by topological derivative methods