Fast multipole boundary element method for the acoustic analysis of finite periodic structures

DOI10.1016/j.cma.2021.114528OpenAlexW4206840588MaRDI QIDQ2670346

Wenchang Zhao, Christopher Jelich, Hai-Bo Chen, Steffen Marburg

Publication date: 11 March 2022

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.12050

zbMATH Keywords

boundary element methodacoustic scatteringfast multipole methodblock Toeplitz matrixsonic crystalssound barriers

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Wave scattering in solid mechanics (74J20) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

An efficient hybrid collocation scheme for vibro-acoustic analysis of the underwater functionally graded structures in the shallow ocean ⋮ Recent Advances in Acoustic Boundary Element Methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A method to compute periodic sums
• Preconditioning based on Calderón's formulae for periodic fast multipole methods for Helmholtz equation
• Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objects
• Acoustic multiple scattering using recursive algorithms
• An efficient finite element method for computing spectra of photonic and acoustic band-gap materials. I: Scalar case
• Introduction to hierarchical matrices with applications.
• Efficient analysis of sound propagation in sonic crystals using an ACA-MFS approach
• Flexibly imposing periodicity in kernel independent FMM: a multipole-to-local operator approach
• \(\mathcal H^2\)-matrix approximation of integral operators by interpolation
• The fast multipole method: Numerical implementation
• Efficient solution of block Toeplitz systems with multiple right-hand sides arising from a periodic boundary element formulation
• Numerical modelling of finite periodic arrays of acoustic resonators using an efficient 3D BEM model
• The Burton and Miller Method: Unlocking Another Mystery of Its Coupling Parameter
• An FMM for periodic boundary value problems for cracks for Helmholtz' equation in 2D
• ACOUSTIC BAND GAP FORMATION IN TWO-DIMENSIONAL LOCALLY RESONANT SONIC CRYSTALS COMPRISED OF HELMHOLTZ RESONATORS
• An Introduction to Iterative Toeplitz Solvers
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems
• A fast algorithm for particle simulations

This page was built for publication: Fast multipole boundary element method for the acoustic analysis of finite periodic structures