Asymptotic behavior of acoustic waves scattered by very small obstacles
DOI10.1051/m2an/2020047zbMath1473.35101OpenAlexW3041817974MaRDI QIDQ4958852
Sébastien Tordeux, Hélène Barucq, Vanessa Mattesi, Julien Diaz
Publication date: 15 September 2021
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2020047
Mellin transformacoustic wave propagationscattering problemsingularity theorymatched asymptotic expansion method
Singular perturbations in context of PDEs (35B25) Wave scattering in solid mechanics (74J20) Wave equation (35L05) Asymptotic expansions of solutions to PDEs (35C20)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiple scattering of acoustic waves by small sound-soft obstacles in two dimensions: mathematical justification of the Foldy-Lax model
- Formulation and accuracy of on-surface radiation conditions for acoustic multiple scattering problems
- Localization of small obstacles from back-scattered data at limited incident angles with full-waveform inversion
- Equivalent multipolar point-source modeling of small spheres for fast and accurate electromagnetic wave scattering computations
- An inverse problem for the wave equation in a ball
- Partial differential equations. I: Basic theory
- Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. I. Transl. from the German by Georg Heinig and Christian Posthoff
- High order local absorbing boundary conditions for acoustic waves in terms of farfield expansions
- Newmark local time stepping on high-performance computing architectures
- A symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation
- Multi-level explicit local time-stepping methods for second-order wave equations
- High order surface radiation conditions for time-harmonic waves in exterior domains
- Fast multipole method for the biharmonic equation in three dimensions
- Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation
- A spectral method for the wave equation of divergence-free vectors and symmetric tensors inside a sphere
- Summation by parts methods for spherical harmonic decompositions of the wave equation in any dimensions
- Two Single-Shot Methods for Locating Multiple Electromagnetic Scatterers
- Locating Multiple Multiscale Electromagnetic Scatterers by a Single Far-Field Measurement
- Efficient DG-like formulation equipped with curved boundary edges for solving elasto-acoustic scattering problems
- Performance Analysis of a High-Order Discontinuous Galerkin Method Application to the Reverse Time Migration
- On the Justification of the Foldy--Lax Approximation for the Acoustic Scattering by Small Rigid Bodies of Arbitrary Shapes
- Locating Multiple Multiscale Acoustic Scatterers
- Discontinuous Galerkin Finite Element Method for the Wave Equation
- The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
- Approximation by multipoles of the multiple acoustic scattering by small obstacles in three dimensions and application to the Foldy theory of isotropic scattering
This page was built for publication: Asymptotic behavior of acoustic waves scattered by very small obstacles