A fourth-order Cartesian grid method for multiple acoustic scattering on closely packed obstacles
type: Item
instance of: scholarly article
title: A fourth-order Cartesian grid method for multiple acoustic scattering on closely packed obstacles
zbMATH Open document ID: 1484.35165
author: Yaning Xie
author: Shuwang Li
author: Wenjun Ying
published in: Journal of Computational and Applied Mathematics
publication date: 2022-02-11T00:00:00Z
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 7472416
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: multiple scattering problem
zbMATH Keywords: Cartesian grid method
zbMATH Keywords: boundary integral method
describes a project that uses: FFT9
MaRDI profile type: Publication
full work available at URL: j.cam.2021.113885
OpenAlex ID: W3216618477
cites work: Q5476874
cites work: Eigenfunction expansions and scattering theory for the wave equation in an exterior region
cites work: Spectral representations and scattering for the acoustic equation in an exterior domain
cites work: Asymptotic solutions for high frequency Helmholtz equations in anisotropic media with Hankel functions
cites work: Radiation boundary conditions for wave-like equations
cites work: Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
cites work: Variational methods for underwater acoustic problems
cites work: A Finite Element Method for Solving Helmholtz Type Equations in Waveguides and Other Unbounded Domains
cites work: A finite element method for large domains
cites work: Finite element methods for the Helmholtz equation in an exterior domain: Model problems
cites work: A perfectly matched layer for the absorption of electromagnetic waves
cites work: A perfectly matched layer for the Helmholtz equation in a semi-infinite strip
cites work: Q4924045
cites work: ANALYTICAL AND NUMERICAL STUDIES OF A FINITE ELEMENT PML FOR THE HELMHOLTZ EQUATION
cites work: A numerical method for the exterior Dirichlet problem for the reduced wave equation
cites work: Boundary Integral Equations for the Three-Dimensional Helmholtz Equation
cites work: Integral Equation Methods in Scattering Theory
cites work: Fundamental Results Concerning Integral Representations in Acoustic Radiation
cites work: Q5676098
cites work: The application of integral equation methods to the numerical solution of some exterior boundary-value problems
cites work: On modified Green functions in exterior problems for the Helmholtz equation
cites work: A SOLUTION TO THE PROBLEM OF SCALAR SCATTERING FROM A SMOOTH, BOUNDED OBSTACLE USING INTEGRAL EQUATIONS
cites work: Matrix formulation of acoustic scattering from an arbitrary number of scatterers
cites work: Q4356574
cites work: A particle method and adaptive treecode for vortex sheet motion in three-dimensional flow
cites work: The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers
cites work: A numerical algorithm of the multiple scattering from an ensemble of arbitrary scatterers
cites work: The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
cites work: A kernel-free boundary integral method for elliptic boundary value problems
cites work: A kernel-free boundary integral method for implicitly defined surfaces
cites work: A Kernel-Free Boundary Integral Method for Variable Coefficients Elliptic PDEs
cites work: A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells
cites work: A fourth-order kernel-free boundary integral method for the modified Helmholtz equation
cites work: A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions
cites work: A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions
cites work: Über das Neumannsche Randwertproblem für die Helmholtzsche Schwingungsgleichung
cites work: Green’s Functions with Applications, Second Edition
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: Nine-point difference solutions for Poisson's equation
cites work: Q4528992
cites work: Algorithm 543: FFT9, Fast Solution of Helmholtz-Type Partial Differential Equations [D3]
cites work: High-Order Fast Elliptic Equation Solvers
cites work: Inverse acoustic and electromagnetic scattering theory
cites work: A novel integral equation for scattering by locally rough surfaces and application to the inverse problem
cites work: An inverse random source problem for the Helmholtz equation
cites work: Increasing stability in the inverse source problem with many frequencies
cites work: An inverse scattering problem with generalized oblique derivative boundary condition
DOI: 10.1016/J.CAM.2021.113885
description: scientific article; zbMATH DE number 7472416