Inverse acoustic and electromagnetic scattering theory.
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Publication:1376934
zbMath0893.35138MaRDI QIDQ1376934
Publication date: 22 January 1998
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
Newton's methoduniquenessMaxwell equationsHelmholtz equationinverse medium problemfar field datalinear integral equation of the first kindacoustic obstacle scatteringelectromagnetic obstacle scatteringwaves in an inhomogeneous medium
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for ill-posed problems for integral equations (65R30) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Linear integral equations (45A05)
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imaging of a dilute cell suspension ⋮ The direct scattering problem of obliquely incident electromagnetic waves by a penetrable homogeneous cylinder ⋮ The range test and the no response test for Oseen problems: theoretical foundation ⋮ Uniqueness and nonuniqueness in inverse problems for elliptic partial differential equations and related medical imaging ⋮ Direct and inverse scattering problems for domains with multiple corners ⋮ Sensitivity analysis for active control of the Helmholtz equation ⋮ High-order FEM-BEM computer models for wave propagation in unbounded and heterogeneous media: application to time-harmonic acoustic horn problem ⋮ Limiting absorption principle and well-posedness for the Helmholtz equation with sign changing coefficients ⋮ A Nyström flavored Calderón calculus of order three for two dimensional waves, time-harmonic and transient ⋮ Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information ⋮ Multiscale analysis of the acoustic scattering by many scatterers of impedance type ⋮ The reciprocity gap method for a cavity in an inhomogeneous medium ⋮ Multilayered scattering problem with generalized impedance boundary condition on the core ⋮ Mixed type boundary value problems for polymetaharmonic equations ⋮ Screen type mixed boundary value problems for anisotropic pseudo-Maxwell's equations ⋮ Modelling techniques for vibro-acoustic dynamics of poroelastic materials ⋮ Mathematics and algorithms in tomography. Abstracts from the workshop held August 10--16, 2014. ⋮ The null-field method: a reconstruction kernel approach ⋮ A fast direct solver for quasi-periodic scattering problems ⋮ Quadrature by expansion: a new method for the evaluation of layer potentials ⋮ A multi-level method for transmission eigenvalues of anisotropic media ⋮ Enhanced multilevel linear sampling methods for inverse scattering problems ⋮ Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum-including wood anomalies ⋮ An operator expansions method for computing Dirichlet-Neumann operators in linear elastodynamics ⋮ Efficient high order waveguide mode solvers based on boundary integral equations ⋮ Spectrally accurate numerical solution of hypersingular boundary integral equations for three-dimensional electromagnetic wave scattering problems ⋮ Fokas integral equations for three dimensional layered-media scattering ⋮ High-order boundary integral equation solution of high frequency wave scattering from obstacles in an unbounded linearly stratified medium ⋮ Energy- and regularity-dependent stability estimates for near-field inverse scattering in multidimensions ⋮ Analytical study of the effect of wave number on the performance of local absorbing boundary conditions for acoustic scattering ⋮ Uniqueness, Born approximation, and numerical methods for diffuse optical tomography ⋮ Solving integral equations on piecewise smooth boundaries using the RCIP method: a tutorial ⋮ Uniqueness theorems for an impulsive Sturm-Liouville boundary value problem ⋮ Huygens' principle and iterative methods in inverse obstacle scattering ⋮ The determination of boundary coefficients from far field measurements ⋮ Surface integral formulation of the interior transmission problem ⋮ Stability estimates for solutions of control problems for the Maxwell equations with mixed boundary conditions ⋮ Boundary integral method for multi-layered electromagnetic scattering problems ⋮ A fully discrete Galerkin method for high frequency exterior acoustic scattering in three dimensions ⋮ Computation of scattering resonances for dielectric resonators ⋮ Resonance and double negative behavior in metamaterials ⋮ Error estimates of the finite element method for interior transmission problems ⋮ The \(\mathcal H^2\)-wavelet method ⋮ A multi-frequency inverse source problem ⋮ Exact non-reflecting boundary conditions on perturbed domains and \(hp\)-finite elements ⋮ A multiscale \(hp\)-FEM for 2D photonic crystal bands ⋮ A rapid solution of a kind of 1D Fredholm oscillatory integral equation ⋮ On the reconstruction of Dirichlet-to-Neumann map in inverse scattering problems with stability estimates ⋮ The inverse scattering problem for cavities ⋮ Combining the ultra-weak variational formulation and the multilevel fast multipole method ⋮ An efficient and stable spectral method for electromagnetic scattering from a layered periodic structure ⋮ The inverse scattering problem for cavities with impedance boundary condition ⋮ Recovering the Dirichlet-to-Neumann map in inverse scattering problems using integral equation methods ⋮ The integral equation method for electromagnetic scattering problem at oblique incidence ⋮ Waveguide mode solver based on Neumann-to-Dirichlet operators and boundary integral equations ⋮ A fast direct solver for the integral equations of scattering theory on planar curves with corners ⋮ Adaptive perfectly matched layer method for multiple scattering problems ⋮ Equations of Maxwell type ⋮ Numerical analysis for the scattering by obstacles in a homogeneous chiral environment ⋮ Shape derivatives of boundary integral operators in electromagnetic scattering. I: Shape differentiability of pseudo-homogeneous boundary integral operators ⋮ Time reversal with partial information for wave refocusing and scatterer identification ⋮ On the choice of source points in the method of fundamental solutions ⋮ Hitchhiker's guide to the fractional Sobolev spaces ⋮ FaIMS: a fast algorithm for the inverse medium problem with multiple frequencies and multiple sources for the scalar Helmholtz equation ⋮ Mathematical basis of the linear sampling method for partially coated obstacles ⋮ Shape derivatives of boundary integral operators in electromagnetic scattering. II: Application to scattering by a homogeneous dielectric obstacle ⋮ High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane ⋮ Inverse scattering analysis of an elastic half-space by means of the fast volume integral equation method ⋮ Qualitative identification of cracks using 3D transient elastodynamic topological derivative: formulation and FE implementation ⋮ A second degree Newton method for an inverse obstacle scattering problem ⋮ A multigrid method for Helmholtz transmission eigenvalue problems ⋮ Approximate acoustic cloaking in inhomogeneous isotropic space ⋮ Modeling aspects to improve the solution of the inverse problem in scatterometry ⋮ Fast imaging of electromagnetic scatterers by a two-stage multilevel sampling method ⋮ Concentration phenomenon for fractional nonlinear Schrödinger equations ⋮ The equivalent refraction index for the acoustic scattering by many small obstacles: with error estimates ⋮ Inverse material identification in coupled acoustic-structure interaction using a modified error in constitutive equation functional ⋮ Active manipulation of fields modeled by the Helmholtz equation ⋮ Stable determination of a scattered wave from its far-field pattern: the high frequency asymptotics ⋮ Sharp norm estimates of layer potentials and operators at high frequency ⋮ An efficient Wave Based Method for 2D acoustic problems containing corner singularities ⋮ Reciprocity gap method for an interior inverse scattering problem ⋮ Full and partial cloaking in electromagnetic scattering ⋮ Galerkin method for the scattering problem of a slit ⋮ An efficient and highly accurate solver for multi-body acoustic scattering problems involving rotationally symmetric scatterers ⋮ Toeplitz operators in the Herglotz space ⋮ Near-field imaging of biperiodic surfaces for elastic waves ⋮ Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objects ⋮ Time-reversed absorbing conditions in the partial aperture case ⋮ A new integral representation for quasi-periodic scattering problems in two dimensions ⋮ Low frequency electromagnetic scattering by a perfectly conducting moving sphere ⋮ Hilbert scales and Sobolev spaces defined by associated Legendre functions ⋮ Inverse scattering for surface impedance from phase-less far field data ⋮ A boundary integral equations approach for mixed impedance problems in elasticity ⋮ A hybrid method for inverse cavity scattering problem for shape ⋮ Comparing parameter choice methods for regularization of ill-posed problems ⋮ Factorization method in inverse interaction problems with bi-periodic interfaces between acoustic and elastic waves ⋮ The factorization method for a partially coated cavity in inverse scattering ⋮ Determining an obstacle by far-field data measured at a few spots ⋮ Slepian spatial-spectral concentration on the ball ⋮ Cavity identification in linear elasticity and thermoelasticity ⋮ The singular sources method for cracks ⋮ Electromagnetic scattering by a perfectly conducting obstacle in a homogeneous chiral environment: solvability and low-frequency theory ⋮ Double-negative electromagnetic metamaterials due to chirality ⋮ Wave scattering by an elastic obstacle with interior cuts ⋮ Stable, high-order computation of impedance–impedance operators for three-dimensional layered medium simulations ⋮ Nonradiating Sources and Transmission Eigenfunctions Vanish at Corners and Edges ⋮ The inverse discrete transmission eigenvalue problem for absorbing media ⋮ Interface with weakly singular points always scatter ⋮ Inverse medium scattering from periodic structures with fixed-direction incoming waves ⋮ On isotropic cloaking and interior transmission eigenvalue problems ⋮ Unnamed Item ⋮ Computational Methods for Extremal Steklov Problems ⋮ Unnamed Item ⋮ Mixed boundary value problems for the Helmholtz equation ⋮ Inside-outside duality for a class of modified transmission eigenvalues ⋮ Norm-dependent convergence and stability of the inverse scattering series for diffuse and scalar waves ⋮ Precursors for synthetic aperture radar ⋮ The method of fundamental solutions for the scattering problem of an open cavity ⋮ Markov chain generative adversarial neural networks for solving Bayesian inverse problems in physics applications ⋮ CERTAIN UNIFIED INTEGRALS INVOLVING A PRODUCT OF THE FOUR-PARAMETER BESSEL FUNCTION AND JACOBI POLYNOMIAL ⋮ The a posteriori error estimates and an adaptive algorithm of the FEM for transmission eigenvalues for anisotropic media ⋮ Robust fast direct integral equation solver for three-dimensional doubly periodic scattering problems with a large number of layers ⋮ An Adaptive Finite Element DtN Method for Maxwell’s Equations ⋮ A Legendre spectral method for multidimensional partial Volterra integro-differential equations ⋮ A PML Method for Signal-Propagation Problems in Axon ⋮ Robin-Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain ⋮ A spectral collocation method for a nonlinear multidimensional Volterra integral equation ⋮ Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation ⋮ A fictitious domain spectral method for solving the Helmholtz equation in exterior domains ⋮ Eddy-current asymptotics of the Maxwell PMCHWT formulation for multiple bodies and conductivity levels ⋮ Approximation of oscillatory Bessel integral transforms ⋮ On recovery of an unbounded bi-periodic interface for the inverse fluid-solid interaction scattering problem ⋮ The method of fundamental solutions for electromagnetic scattering by a perfect conductor in chiral environment ⋮ The method of fundamental solutions for scattering of electromagnetic waves by a chiral object ⋮ GRIDS-Net: inverse shape design and identification of scatterers via geometric regularization and physics-embedded deep learning ⋮ Unique continuation on a sphere for Helmholtz equation and its numerical treatments ⋮ The domain derivative in inverse obstacle scattering with nonlinear impedance boundary condition ⋮ A direct sampling-based deep learning approach for inverse medium scattering problems ⋮ The p–Laplace “Signature” for Quasilinear Inverse Problems with Large Boundary Data ⋮ MiPhDUO: microwave imaging via physics-informed deep unrolled optimization ⋮ Muti-frequency extended sampling method for the inverse acoustic source problem ⋮ Quadrature by two expansions for evaluating Helmholtz layer potentials ⋮ Quantum teleportation of the entangled superconducting qubits via LC resonators ⋮ Object based Bayesian full-waveform inversion for shear elastography ⋮ A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems ⋮ Quantitative parameter reconstruction from optical coherence tomographic data ⋮ Fundamental solutions of the equations of the oscillation theory for anisotropic elastic media ⋮ The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous obstacle with Lipschitz boundary and regularization ⋮ Spectral collocation methods for fractional multipantograph delay differential equations ⋮ Multifrequency inverse problem of scalar acoustics: remarks on nonuniqueness and solution algorithm ⋮ Volume integral operators in electromagnetic scattering by homogeneous anisotropic dielectric bodies ⋮ A Node-Based Smoothed Finite Element Method with Linear Gradient Fields for Elastic Obstacle Scattering Problems ⋮ Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations with Weakly Singular Kernels ⋮ Mathematical analysis and numerical methods for inverse scattering problems ⋮ Algorithm 967 ⋮ A representation of acoustic waves in unbounded domains ⋮ Analysis of a new BEM‐FEM coupling for two‐dimensional fluid‐solid interaction ⋮ Unique determination of periodic polyhedral structures by scattered electromagnetic fields II: The resonance case ⋮ Mathematical modeling of fluorescence diffuse optical imaging of cell membrane potential changes ⋮ The direct scattering problem for a crack buried in a piecewise homogenous medium ⋮ Boundary element simulation of thermal waves ⋮ Reconstructing obstacles by the enclosure method using the far field measurements in one step ⋮ The factorization method for inverse acoustic scattering by a penetrable anisotropic obstacle ⋮ A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications ⋮ Inverse source problem for a space-time fractional diffusion equation ⋮ Uniqueness of inverse scattering problem for a penetrable obstacle with rigid core ⋮ Boundary element simulation of thermal waves ⋮ Connection formulae for differential representations in Stokes flow ⋮ Representation of solutions of the exterior Helmholtz-Dirichlet problem ⋮ An adaptive perfectly matched layer technique for 3-D time-harmonic electromagnetic scattering problems ⋮ Sampling Methods ⋮ Nonstationary Maxwell equations ⋮ A Posteriori Error Estimates for the Electric Field Integral Equation on Polyhedra ⋮ Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption ⋮ The point source method for inverse scattering in the time domain ⋮ Scattering of electromagnetic plane waves by a spheroid uniformly moving in free space ⋮ Computational Framework for Applying Electrical Impedance Tomography to Head Imaging ⋮ High Precision Identification of an Object: Optimality-Conditions-Based Concept of Imaging ⋮ A convergence theorem for a class of Nyström methods for weakly singular integral equations on surfaces in $\mathbb {R}^3$ ⋮ A two step method in inverse scattering problem for a crack ⋮ Direct and inverse problems for electromagnetic scattering by a doubly periodic structure with a partially coated dielectric ⋮ On the Justification of the Foldy--Lax Approximation for the Acoustic Scattering by Small Rigid Bodies of Arbitrary Shapes ⋮ A regularized solution for the inverse conductivity problem using mollifiers ⋮ Carleman Formula for the Maxwell Equation in a Cap Type Domain ⋮ Locating Multiple Multiscale Acoustic Scatterers ⋮ Direct and Inverse Acoustic Scattering by a Collection of Extended and Point-Like Scatterers ⋮ Reconstruction of an Impedance Cylinder at Oblique Incidence from the Far-Field Data ⋮ On Quasi-Static Cloaking Due to Anomalous Localized Resonance in $\mathbb{R}^3$ ⋮ Mathematical basis of scattering problems from penetrable obstacles and cracks ⋮ Some results on electromagnetic transmission eigenvalues ⋮ An efficient and robust algorithm for source reconstruction in the Helmholtz equation ⋮ A matrix-free fixed-point iteration for inverting cascade impactor measurements with instrument's sensitivity kernels and hardware ⋮ The Two-Dimensional Direct and Inverse Scattering Problems with Generalized Oblique Derivative Boundary Condition ⋮ The reciprocity gap operator for electromagnetic scattering in chiral media ⋮ High Resolution Inverse Scattering in Two Dimensions Using Recursive Linearization ⋮ High Order Transparent Boundary Conditions for the Helmholtz Equation ⋮ Scattering and Field Enhancement of a Perfect Conducting Narrow Slit ⋮ Integral equation methods in inverse obstacle scattering ⋮ Pseudo‐Spectral Methods for the Laplace‐Beltrami Equation and the Hodge Decomposition on Surfaces of Genus One ⋮ On a two-dimensional inverse scattering problem for a dielectric ⋮ The interior transmission problem for anisotropic Maxwell's equations and its applications to the inverse problem ⋮ Numerical results for linear Fredholm integral equations of the first kind over surfaces in three dimensions ⋮ Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem ⋮ On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems ⋮ Fast regularized linear sampling for inverse scattering problems ⋮ The linear sampling method in a lossy background: an energy perspective ⋮ A FE-BE coupling for a fluid-structure interaction problem: Hierarchical a posteriori error estimates ⋮ FE/BE coupling for an acoustic fluid-structure interaction problem. Residual a posteriori error estimates ⋮ A stochastic simulation method for uncertainty quantification in the linearized inverse conductivity problem ⋮ The linear sampling method for the inverse electromagnetic scattering by a partially coated bi-periodic structure ⋮ Fast Algorithms for High Frequency Wave Propagation ⋮ The method of integral equation for scattering problem with a mixed crack ⋮ Preconditioning Methods for Thin Scattering Structures Based on Asymptotic Results ⋮ Mathematics of Hybrid Imaging: A Brief Review ⋮ A linear sampling method for inverse problems of diffraction gratings of mixed type ⋮ Fast Sampling in a Linear-Gaussian Inverse Problem ⋮ Inverse Random Source Scattering Problems in Several Dimensions ⋮ A Direct Imaging Method for Electromagnetic Scattering Data without Phase Information ⋮ Shape Identification in Inverse Medium Scattering Problems with a Single Far-Field Pattern ⋮ Shape derivatives in Kondratiev spaces for conical diffraction ⋮ Electromagnetic 3D subsurface imaging with source sparsity for a synthetic object ⋮ Mathematical Design of a Novel Gesture-Based Instruction/Input Device Using Wave Detection ⋮ A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index ⋮ The Foldy-Lax approximation of the scattered waves by many small bodies for the Lamé system ⋮ Generalization of tangential trace spaces of H (curl ,Ω) for curvilinear Lipschitz polyhedral domains Ω ⋮ Electromagnetic Field Enhancement in Small Gaps: A Rigorous Mathematical Theory ⋮ Inverse scattering theory: Inverse scattering series method for one dimensional non-compact support potential ⋮ Inverse problem with transmission eigenvalues for the discrete Schrödinger equation ⋮ Robust and Efficient Solution of the Drum Problem via Nyström Approximation of the Fredholm Determinant ⋮ On the Neumann function and the method of images in spherical and ellipsoidal geometry ⋮ Detectability and state estimation for linear age-structured population diffusion models ⋮ Overresolving in the Laplace Domain for Convolution Quadrature Methods ⋮ Uncertainty Principles for Inverse Source Problems, Far Field Splitting, and Data Completion ⋮ Numerical Solution of Diffraction Problems: A High-Order Perturbation of Surfaces and Asymptotic Waveform Evaluation Method ⋮ Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems ⋮ Inverse scattering for planar cracks via nonlinear integral equations ⋮ Maxwell's equations in an unbounded structure ⋮ Reconstructing small perturbations of scatterers from electric or acoustic far‐field measurements ⋮ Hodge–Helmholtz decompositions of weighted Sobolev spaces in irregular exterior domains with inhomogeneous and anisotropic media ⋮ On the Inverse Problem for Scattering of Electromagnetic Radiation by a Periodic Structure ⋮ Transmission scattering problem via a DtN map ⋮ Diffraction by a Strip and by a Half-plane with Variable Face Impedances ⋮ Combined boundary integral equations for acoustic scattering-resonance problems ⋮ Time Reversal as a Computational Tool in Acoustics and Elastodynamics ⋮ A Domain Embedding Method for Scattering Problems with an Absorbing Boundary or a Perfectly Matched Layer ⋮ Wave diffraction by a strip with first and second kind boundary conditions: the real wave number case ⋮ Asymptotic of the Green function for the diffraction by a perfectly conducting plane perturbed by a sub-wavelength rectangular cavity ⋮ Reconstruction of cracks of different types from far‐field measurements ⋮ An optimization method for acoustic inverse obstacle scattering problems with multiple incident waves ⋮ Optimization of a variable mouth acoustic horn ⋮ Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel ⋮ On stable iterative methods of gradient type for the inverse medium scattering problem ⋮ Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation ⋮ An implicit QR algorithm for symmetric semiseparable matrices ⋮ A note on the representation and definition of semiseparable matrices ⋮ The computation of resonances in open systems using a perfectly matched layer ⋮ On the convergence of the finite integration technique for the anisotropic boundary value problem of magnetic tomography ⋮ Least-square-based radial basis collocation method for solving inverse problems of Laplace equation from noisy data ⋮ The Calderón problem for conormal potentials I: Global uniqueness and reconstruction ⋮ An Inverse Problem in Periodic Diffractive Optics: Reconstruction of Lipschitz Grating Profiles ⋮ Inverse Scattering in a Half Space with Passive Boundary ⋮ Fast Algorithms for Boundary Integral Equations ⋮ An approximation property of elastic Herglotz wave functions and its application in the linear sampling method ⋮ Global uniqueness in determining rectangular periodic structures by scattering data with a single wave number ⋮ The scattering support ⋮ Behaviour of (???k2?i0+)?1 outside fading obstacles, independant scattering hypothesis and applications ⋮ Phased and Phaseless Domain Reconstructions in the Inverse Scattering Problem via Scattering Coefficients ⋮ Mixed Methods for the Helmholtz Transmission Eigenvalues ⋮ Fast, Adaptive, High-Order Accurate Discretization of the Lippmann--Schwinger Equation in Two Dimensions ⋮ An inverse electromagnetic scattering problem for a bi-periodic inhomogeneous layer on a perfectly conducting plate ⋮ A radial basis meshless method for solving inverse boundary value problems ⋮ The electromagnetic scattering problem with generalized impedance boundary conditions ⋮ The Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation ⋮ Recovery of multiple obstacles by probe method ⋮ Coercive combined field integral equations ⋮ An interior inverse scattering problem in elasticity ⋮ A Fast Algorithm for Simulating Multiphase Flows Through Periodic Geometries of Arbitrary Shape ⋮ Unique determination of periodic polyhedral structures by scattered electromagnetic fields ⋮ On the Nonexistence of Transmission Eigenvalues for Regions with Cavities ⋮ A uniqueness result for the inverse electromagnetic scattering problem in a piecewise homogeneous medium ⋮ Convergence bounds of GMRES with Schwarz' preconditioner for the scattering problem ⋮ Approximate cloaking for the Helmholtz equation via transformation optics and consequences for perfect cloaking ⋮ Far-field patterns of solutions of the perturbed Dirac equation ⋮ Boundary integral method for scattering problems with cracks buried in a piecewise homogeneous medium ⋮ Unification of the Probe and Singular Sources Methods for the Inverse Boundary Value Problem by the No-Response Test ⋮ Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation ⋮ An inverse random source problem for the Helmholtz equation ⋮ Stability of the determination of the surface impedance of an obstacle from the scattering amplitude ⋮ Coupling of mixed finite element and stabilized boundary element methods for a fluid–solid interaction problem in 3D ⋮ Uniqueness for the determination of sound-soft defects in an inhomogeneous planar medium by acoustic boundary measurements ⋮ A Bayesian method for an inverse transmission scattering problem in acoustics ⋮ Numerical solution to a three-dimensional coefficient inverse problem for the wave equation with integral data in a cylindrical domain ⋮ Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems ⋮ Diffraction tomographic imaging algorithms I: Data models and inversion ⋮ Unnamed Item ⋮ Combined far-ield operators in electromagnetic inverse scattering theory ⋮ Consistency of Bayesian inference with Gaussian process priors for a parabolic inverse problem ⋮ Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems ⋮ Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation ⋮ Cloaking Property of a Plasmonic Structure in Doubly Complementary Media and Three-Sphere Inequalities with Partial Data ⋮ Bayesian approach for inverse interior scattering problems with limited aperture ⋮ Effective Medium Theory for Embedded Obstacles in Elasticity with Applications to Inverse Problems ⋮ Application of the Factorization Method to Recover Cuts with Oblique Derivative Boundary Condition ⋮ Reconstruction algorithms of an inverse conductive scattering problem for the Helmholtz equation ⋮ State Estimation with Model Reduction and Shape Variability. Application to biomedical problems ⋮ Вычислительная лупа для уточнения положения и формы трехмерных объектов при их акустическом зондировании ⋮ Reconstruction of the initial state from the data measured on a sphere for plasma-acoustic wave equations ⋮ On the Half-Space Matching Method for Real Wavenumber ⋮ Inverse Random Source Scattering for Elastic Waves ⋮ Inverse obstacle backscattering problems with phaseless data ⋮ Uncertainty Principles for Three-Dimensional Inverse Source Problems ⋮ Cloaking using complementary media for electromagnetic waves ⋮ On the data completion problem and the inverse obstacle problem with partial Cauchy data for Laplace’s equation ⋮ Smoothened Complete Electrode Model ⋮ Recovering piecewise constant refractive indices by a single far-field pattern ⋮ Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging ⋮ Mathematical and Numerical Analysis of the Generalized Complex-Frequency Eigenvalue Problem for Two-Dimensional Optical Microcavities ⋮ On the solution of direct and inverse multiple scattering problems for mixed sound-soft, sound-hard and penetrable objects ⋮ Inverse Source Problems in an Inhomogeneous Medium with a Single Far-Field Pattern ⋮ Nonlinear Cauchy problem and identification in contact mechanics: a solving method based on Bregman-gap ⋮ On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit ⋮ Fixed Angle Inverse Scattering for Almost Symmetric or Controlled Perturbations ⋮ A New Method for the Data Completion Problem and Application to Obstacle Detection ⋮ High-frequency behaviour of corner singularities in Helmholtz problems ⋮ Outgoing wave conditions in photonic crystals and transmission properties at interfaces ⋮ Active Exterior Cloaking for the 2D Laplace and Helmholtz Equations ⋮ Lipschitz stability for an inverse source scattering problem at a fixed frequency * ⋮ A numerical reconstruction method in inverse elastic scattering ⋮ Inverse problems in biomedical imaging: modeling and methods of solution ⋮ A discontinuous Galerkin method for acoustic scattering problem with DtN boundary condition ⋮ Approximation by Herglotz Wave Functions ⋮ The exterior problem for the Helmholtz equation with mixed boundary conditions in three dimensions ⋮ A Rigorous Numerical Analysis of the Transformed Field Expansion Method for Diffraction by Periodic, Layered Structures ⋮ On corners scattering stably and stable shape determination by a single far-field pattern ⋮ Analysis of the scattering by an unbounded rough surface ⋮ Nonconforming Finite Element Method for the Transmission Eigenvalue Problem ⋮ Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations ⋮ Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels ⋮ Screen‐type boundary value problems for polymetaharmonic equations ⋮ Radiating and non-radiating sources in elasticity ⋮ On a local geometric property of the generalized elastic transmission eigenfunctions and application ⋮ An overfilled cavity problem for Maxwell's equations ⋮ A Direct Imaging Method for Inverse Electromagnetic Scattering Problem in Rectangular Waveguide ⋮ Periodic particle arrangements using standing acoustic waves ⋮ The New Operator Marching Method on Calculating the Electromagnetic Scattered Fields from the Periodic Structures ⋮ $H^2$-Conforming Methods and Two-Grid Discretizations for the Elastic Transmission Eigenvalue Problem ⋮ Determining a sound-soft polyhedral scatterer by a single far-field measurement ⋮ A decomposition scheme for acoustic obstacle scattering in a multilayered medium ⋮ Mixed boundary value problems of diffraction by a half‐plane with an obstacle perpendicular to the boundary ⋮ On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces ⋮ Application of radial basis meshless methods to direct and inverse biharmonic boundary value problems ⋮ Resonant effects in random dielectric structures ⋮ Cloaking via change of variables for the Helmholtz equation in the whole space ⋮ The numerical solution of an inverse periodic transmission problem ⋮ Reconstruction of a compactly supported sound profile in the presence of a random background medium ⋮ The Asymptotic of Transmission Eigenvalues for a Domain with a Thin Coating ⋮ A Robust Inversion Method According to a New Notion of Regularization for Poisson Data with an Application to Nanoparticle Volume Determination ⋮ Inverse Scattering ⋮ The Blow-up of Electromagnetic Fields in 3-Dimensional Invisibility Cloaking for Maxwell's Equations ⋮ A high–order perturbation of surfaces (HOPS) approach to Fokas integral equations: Three–dimensional layered–media scattering ⋮ Uniqueness Results for Scattering and Inverse Scattering by Infinite Rough Surfaces with Tapered Wave Incidence ⋮ Inverse obstacle scattering for Maxwell’s equations in an unbounded structure ⋮ How to solve inverse scattering problems without knowing the source term: a three-step strategy ⋮ A New Convergent Algorithm to Approximate Potentials from Fixed Angle Scattering Data ⋮ Far Field Splitting by Iteratively Reweighted $\ell^1$ Minimization ⋮ Plasmon Resonance with Finite Frequencies: a Validation of the Quasi-static Approximation for Diametrically Small Inclusions ⋮ Numerical determination of anomalies in multifrequency electrical impedance tomography ⋮ Finite element method to fluid-solid interaction problems with unbounded periodic interfaces ⋮ Single logarithmic conditional stability in determining unknown boundaries ⋮ An Extended Charge-Current Formulation of the Electromagnetic Transmission Problem ⋮ Convergence of Hardy Space Infinite Elements for Helmholtz Scattering and Resonance Problems ⋮ On a Limiting Absorption Principle for Sesquilinear Forms with an Application to the Helmholtz Equation in a Waveguide ⋮ A direct imaging method for half-space inverse elastic scattering problems ⋮ High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis ⋮ A domain decomposition preconditioning for an inverse volume scattering problem ⋮ Sensitivity analysis for 3D Maxwell's equations and its use in the resolution of an inverse medium problem at fixed frequency ⋮ Finite dimensional iteratively regularized Gauss–Newton type methods and application to an inverse problem of the wave tomography with incomplete data range ⋮ Tutorial on Neural Field Theory ⋮ Structure analysis of direct sampling method in 3D electromagnetic inverse problem: near- and far-field configuration ⋮ Finite Elements for Helmholtz Equations with a Nonlocal Boundary Condition ⋮ Data completion method for the Helmholtz equation via surface potentials for partial Cauchy data ⋮ Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems ⋮ An Accurate HyperSingular Boundary Integral Equation Method for Dynamic Poroelasticity in Two Dimensions ⋮ On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications ⋮ Recovering point sources for the inhomogeneous Helmholtz equation * ⋮ DIRECT AND INVERSE ACOUSTIC SCATTERING BY A COMBINED SCATTERER ⋮ Stability for an Inverse Source Problem of the Biharmonic Operator ⋮ An Adaptive Finite Element DtN Method for the Elastic Wave Scattering Problem in Three Dimensions ⋮ Minnaert Resonances for Bubbles in Soft Elastic Materials ⋮ The Complex-Scaled Half-Space Matching Method
