The topological asymptotic expansion for the Maxwell equations and some applications
From MaRDI portal
Publication:4682067
DOI10.1088/0266-5611/21/2/008zbMath1070.35129OpenAlexW1975659605MaRDI QIDQ4682067
No author found.
Publication date: 9 June 2005
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/21/2/008
Sensitivity (robustness) (93B35) PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30)
Related Items
Defect detection from multi-frequency limited data via topological sensitivity ⋮ Sensitivity of the macroscopic elasticity tensor to topological microstructural changes ⋮ Generalized topological derivative for the Navier equation and inverse scattering in the time domain ⋮ Stability and Resolution Analysis of Topological Derivative Based Localization of Small Electromagnetic Inclusions ⋮ Inverse acoustic scattering using high-order small-inclusion expansion of misfit function ⋮ Topological optimization of structures subject to von Mises stress constraints ⋮ Seeing the invisible: digital holography ⋮ Topological derivatives of shape functionals. part III: second-order method and applications ⋮ Coupling shape optimization and topological derivative for Maxwell equations ⋮ Perturbative light-matter interactions; from first principles to inverse design ⋮ Optimal shape design for a time-dependent Brinkman flow using asymptotic analysis techniques ⋮ Fast identification of cracks using higher-order topological sensitivity for 2-D potential problems ⋮ Topological sensitivity analysis of inclusion in two-dimensional linear elasticity ⋮ Topological sensitivity and FMM-accelerated BEM applied to 3D acoustic inverse scattering ⋮ Unnamed Item ⋮ When topological derivatives met regularized Gauss-Newton iterations in holographic 3D imaging ⋮ Detection of multiple impedance obstacles by non-iterative topological gradient based methods ⋮ Sensitivity of the macroscopic thermal conductivity tensor to topological microstructural changes ⋮ Adaptive panel representation for 3D vortex ring motion and instability ⋮ Topological sensitivity analysis and Kohn-Vogelius formulation for detecting a rigid inclusion in an elastic body ⋮ Processing the 2D and 3D Fresnel experimental databases via topological derivative methods ⋮ Topological sensitivity for vibro-acoustography applications ⋮ Apposition of the topological sensitivity and linear sampling approaches to inverse scattering ⋮ The topological derivative of stress-based cost functionals in anisotropic elasticity ⋮ A new method for inverse electromagnetic casting problems based on the topological derivative ⋮ Higher-order topological sensitivity for 2-D potential problems. Application to fast identification of inclusions ⋮ On the small-defect perturbation and sampling of heterogeneous solids ⋮ Shape and topology sensitivity analysis for cracks in elastic bodies on boundaries of rigid inclusions ⋮ Application of the topological derivative to post-processing infrared time-harmonic thermograms for defect detection ⋮ Crack nucleation sensitivity analysis ⋮ Level Set Methods for Structural Inversion and Image Reconstruction ⋮ A FEM-based topological sensitivity approach for fast qualitative identification of buried cavities from elastodynamic overdetermined boundary data ⋮ Topological Sensitivity for Solving Inverse Multiple Scattering Problems in Three-Dimensional Electromagnetism. Part II: Iterative Method ⋮ Removing holes in topological shape optimization ⋮ Asymptotic analysis and topological derivative for 3D quasi-linear magnetostatics ⋮ Unnamed Item ⋮ Sensitivity of the second order homogenized elasticity tensor to topological microstructural changes ⋮ A non-iterative reconstruction method for an inverse problem modeled by a Stokes-Brinkmann equations ⋮ Wells' identification and transmissivity estimation in porous media ⋮ Topological derivative for the nonlinear magnetostatic problem ⋮ Reconstruction of contact regions in semiconductor transistors using Dirichlet-Neumann cost functional approach ⋮ Topological Sensitivity for Solving Inverse Multiple Scattering Problems in Three-dimensional Electromagnetism. Part I: One Step Method
