DOI10.1007/978-3-030-30351-8zbMath1425.35001OpenAlexW4288652121MaRDI QIDQ5236594
Rainer Kress, David Colton
Publication date: 9 October 2019
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-30351-8
A distributional Gelfand–Levitan–Marchenko equation for the Helmholtz scattering problem on the line ⋮
On global normal linear approximations for nonlinear Bayesian inverse problems ⋮
Learning physics-based models from data: perspectives from inverse problems and model reduction ⋮
Inverse problem for a random Schrödinger equation with unknown source and potential ⋮
Single Mode Multi-Frequency Factorization Method for the Inverse Source Problem in Acoustic Waveguides ⋮
A New Perfectly Matched Layer Method for the Helmholtz Equation in Nonconvex Domains ⋮
Uniqueness in Inverse Diffraction Grating Problems With Infinitely Many Plane Waves at a Fixed Frequency ⋮
Homogenization of sound-soft and high-contrast acoustic metamaterials in subcritical regimes ⋮
What is Babinet's principle? ⋮
An alternating iterative method for solving the Cauchy problem for the Helmholtz equation in Interior multiply connected domain ⋮
Computation of scattering poles using boundary integrals ⋮
A radiation and propagation problem for a Helmholtz equation with a compactly supported nonlinearity ⋮
FMM-LU: A Fast Direct Solver for Multiscale Boundary Integral Equations in Three Dimensions ⋮
A scattering problem for a local perturbation of an open periodic waveguide ⋮
Reconstructing small perturbations of an obstacle for acoustic waves from boundary measurements on the perturbed shape itself ⋮
Positive Jacobian constraints for elliptic boundary value problems with piecewise-regular coefficients arising from multi-wave inverse problems ⋮
Direct sampling method to inverse wave-number-dependent source problems: determination of the support of a stationary source ⋮
An efficient iterative method for reconstructing the refractive index in complex domains from far field data ⋮
The Linear Sampling Method for Random Sources ⋮
Singularities almost always scatter: Regularity results for non‐scattering inhomogeneities ⋮
A Bayesian scheme for reconstructing obstacles in acoustic waveguides ⋮
The electromagnetic waves generated by a cluster of nanoparticles with high refractive indices ⋮
Data-Driven Basis for Reconstructing the Contrast in Inverse Scattering: Picard Criterion, Regularity, Regularization, and Stability ⋮
Virtual element method for the modified transmission eigenvalue problem in inverse scattering theory ⋮
Bernstein-Bézier \(H(\mathrm{curl})\)-conforming finite elements for time-harmonic electromagnetic scattering problems ⋮
An adaptive order finite element method for poroelastic materials described through the Biot equations ⋮
Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies ⋮
On an Inverse Problem for the Plate Equation with Passive Measurement ⋮
Immersed virtual element methods for electromagnetic interface problems in three dimensions ⋮
Recovering source location, polarization, and shape of obstacle from elastic scattering data ⋮
Inverse Random Potential Scattering for Elastic Waves ⋮
A novel quantitative inverse scattering scheme using interior resonant modes ⋮
Spectral properties of an acoustic-elastic transmission eigenvalue problem with applications ⋮
A novel spectral approximation and error estimation for transmission eigenvalues in spherical domains ⋮
The mixed discontinuous Galerkin method for transmission eigenvalues for anisotropic medium ⋮
The finite element method for modified transmission eigenvalues for inverse scattering in a fluid-solid interaction problem ⋮
The inverse scattering problem for an inhomogeneous two-layered cavity ⋮
Rough surfaces reconstruction via phase and phaseless data by a multi-frequency homotopy iteration method ⋮
At the interface between semiclassical analysis and numerical analysis of wave scattering problems. Abstracts from the workshop held September 25 -- October 1, 2022 ⋮
Jointly determining the point sources and obstacle from Cauchy data ⋮
Complex analytic dependence on the dielectric permittivity in ENZ materials: The photonic doping example ⋮
Stability for Time-Domain Elastic Wave Equations ⋮
Quadrature domains for the Helmholtz equation with applications to non-scattering phenomena ⋮
On the distribution of Born transmission eigenvalues in the complex plane ⋮
Uniqueness in phaseless inverse electromagnetic scattering problem with known superposition of incident electric dipoles ⋮
A hybrid method for the interior inverse scattering problem ⋮
Application of neural networks to inverse elastic scattering problems with near-field measurements ⋮
Surface concentration of transmission eigenfunctions ⋮
Factorization method with one plane wave: from model-driven and data-driven perspectives ⋮
Analysis of a Fourier-Galerkin method for the transmission eigenvalue problem based on a boundary integral formulation ⋮
Monotonicity-based shape reconstruction for an inverse scattering problem in a waveguide ⋮
A high-order algorithm for time-domain scattering in three dimensions ⋮
Deterministic-statistical approach for an inverse acoustic source problem using multiple frequency limited aperture data ⋮
Inverse conductive medium scattering with unknown buried objects ⋮
Regularization operators versus regularization strategies ⋮
A neural network warm-start approach for the inverse acoustic obstacle scattering problem ⋮
High-Frequency Limit of the Inverse Scattering Problem: Asymptotic Convergence from Inverse Helmholtz to Inverse Liouville ⋮
Bayesian system ID: optimal management of parameter, model, and measurement uncertainty ⋮
Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data ⋮
An adaptive FEM for the elastic transmission eigenvalue problem with different elastic tensors and different mass densities ⋮
On positivity sets for Helmholtz solutions ⋮
Far field broadband approximate cloaking for the Helmholtz equation with a Drude-Lorentz refractive index ⋮
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions? ⋮
Maximizing the Electromagnetic Chirality of Thin Dielectric Tubes ⋮
Finiteness Results Concerning Nonscattering Wave Numbers for Incident Plane and Herglotz Waves ⋮
Integral Equation Method for Inverse Scattering Problem from the Far-Field Data ⋮
Second-Kind Boundary Integral Equations for Scattering at Composite Partly Impenetrable Objects ⋮
Convolution quadrature methods for time-domain scattering from unbounded penetrable interfaces ⋮
A duality between scattering poles and transmission eigenvalues in scattering theory ⋮
Learned Infinite Elements ⋮
Inverse scattering for a random potential ⋮
Qualitative Indicator Functions for Imaging Crack Networks Using Acoustic Waves ⋮
Predictive risk estimation for the expectation maximization algorithm with Poisson data ⋮
Solving an inverse heat convection problem with an implicit forward operator by using a projected quasi-Newton method ⋮
Surface-Localized Transmission Eigenstates, Super-resolution Imaging, and Pseudo Surface Plasmon Modes ⋮
Chirality notions and electromagnetic scattering: a mini review ⋮
Analysis of a Monte-Carlo Nystrom Method ⋮
On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary ⋮
Corrosion shape reconstruction of the mixed boundary in electrostatic imaging ⋮
Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunctions ⋮
Spectral approximation based on a mixed scheme and its error estimates for transmission eigenvalue problems ⋮
Bifurcations of essential spectra generated by a small non-Hermitian hole. I: Meromorphic continuations ⋮
Simultaneous recovery of an obstacle and its excitation sources from near-field scattering data ⋮
Koopman operator method for solution of generalized aggregate data inverse problems ⋮
Optimal design of acoustic metamaterial cloaks under uncertainty ⋮
On new surface-localized transmission eigenmodes ⋮
The factorization method and Capon’s method for random source identification in experimental aeroacoustics ⋮
An Accelerated Level-Set Method for Inverse Scattering Problems ⋮
Cones with convoluted geometry that always scatter or radiate ⋮
Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media ⋮
Direct imaging for the moment tensor point sources of elastic waves ⋮
Shape identification of scatterers using a time-dependent adjoint method ⋮
A Controllability Method for Maxwell's Equations ⋮
On a Hybrid Approach for Recovering Multiple Obstacles ⋮
Inverse medium scattering for a nonlinear Helmholtz equation ⋮
An accelerated, high-order accurate direct solver for the Lippmann-Schwinger equation for acoustic scattering in the plane ⋮
Numerical algorithms for water waves with background flow over obstacles and topography ⋮
Uniqueness of the inverse transmission scattering with a conductive boundary condition ⋮
Simultaneous recovery of a locally rough interface and the embedded obstacle with its surrounding medium ⋮
Multi-parameter analysis of the obstacle scattering problem
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