A wideband fast multipole boundary element method for three dimensional acoustic shape sensitivity analysis based on direct differentiation method
From MaRDI portal
Publication:444854
DOI10.1016/j.enganabound.2011.09.001zbMath1245.74097OpenAlexW2091601192MaRDI QIDQ444854
Toshiro Matsumoto, Toru Takahashi, Hai-Bo Chen, Chang-Jun Zheng
Publication date: 24 August 2012
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2011.09.001
boundary element methodwideband fast multipole methoddirect differentiation methodhypersingularityacoustic shape sensitivity analysisBurtonfictitious eigenfrequencyMiller method
Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items
A fast multipole boundary element method for half-space acoustic problems in a subsonic uniform flow, A sample-efficient deep learning method for multivariate uncertainty qualification of acoustic-vibration interaction problems, An accurate and efficient acoustic eigensolver based on a fast multipole BEM and a contour integral method, A wideband fast multipole boundary element method for half-space/plane-symmetric acoustic wave problems, BEM-based analysis of elastic banded material by using a contour integral method, Is the Burton-Miller formulation really free of fictitious eigenfrequencies?, Singular boundary method for 2D and 3D acoustic design sensitivity analysis, Shape optimization of sound barrier using an isogeometric fast multipole boundary element method in two dimensions, A Boundary Element Method Based on the Hierarchical Matrices and Multipole Expansion Theory for Acoustic Problems, A fast multipole boundary element method based on higher order elements for analyzing 2-D potential problems, A wideband FMBEM for 2D acoustic design sensitivity analysis based on direct differentiation method, FEM/wideband FMBEM coupling for structural-acoustic design sensitivity analysis, Solving Thin-Body Acoustic Problems Over an Impedance Plane with a Fast Multipole Indirect Boundary Element Method, A Parameter Study of the Burton–Miller Formulation in the BEM Analysis of Acoustic Resonances in Exterior Configurations, Acoustic topology optimization of porous material distribution based on an adjoint variable FMBEM sensitivity analysis, Eigenvalue analysis for acoustic problem in 3D by boundary element method with the block Sakurai-Sugiura method, Combined shape and topology optimization for sound barrier by using the isogeometric boundary element method, An interval algorithm for sensitivity analysis of coupled vibro-acoustic systems, Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods, On the BEM for acoustic wave problems, A fast directional boundary element method for wideband multi-domain elastodynamic analysis
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An improved form of the hypersingular boundary integral equation for exterior acoustic problems
- A periodic FMM for Maxwell's equations in 3D and its applications to problems related to photonic crystals
- An adaptive fast multipole boundary element method for three-dimensional potential problems
- An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton-Miller formulation
- Design sensitivity analysis of structural systems
- A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems
- A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
- Diagonal forms of translation operators for the Helmholtz equation in three dimensions
- A fast adaptive multipole algorithm in three dimensions
- Diagonal forms of the translation operators in the fast multipole algorithm for scattering problems
- Explicit evaluation of hypersingular boundary integral equations for acoustic sensitivity analysis based on direct differentiation method
- A fast multipole accelerated method of fundamental solutions for potential problems
- A wideband fast multipole method for the Helmholtz equation in three dimensions
- Wideband fast multipole boundary element method: Application to acoustic scattering from aerodynamic bodies
- Fast wavelet transforms and numerical algorithms I
- Hypersingular Boundary Integral Equations: Some Applications in Acoustic and Elastic Wave Scattering
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Sensitivity Analysis Methods for Coupled Acoustic-Structural Systems Part I: Modal Sensitivities
- Automatic shape optimization of three-dimensional shell structures with large shape changes
- Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations
- Shape design sensitivity analysis via material derivative‐adjoint variable technique for 3‐D and 2‐D curved boundary elements
- MINIMIZING THE CONDITION NUMBER OF BOUNDARY INTEGRAL OPERATORS IN ACOUSTIC AND ELECTROMAGNETIC SCATTERING
- A fast multipole method for Maxwell equations stable at all frequencies
- Improved Integral Formulation for Acoustic Radiation Problems
- The application of integral equation methods to the numerical solution of some exterior boundary-value problems
- A fast algorithm for particle simulations
- Application of new fast multipole boundary integral equation method to crack problems in 3D
