On the BEM for acoustic wave problems (Q2325507)

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English	On the BEM for acoustic wave problems	scientific article

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scholarly article

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On the BEM for acoustic wave problems (English)

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zbMATH Open document ID

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10.1016/j.enganabound.2019.07.002

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Engineering Analysis with Boundary Elements

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publication date

26 September 2019

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

boundary element method

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acoustic wave

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fast solution methods

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.enganabound.2019.07.002

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Improved Integral Formulation for Acoustic Radiation Problems

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The application of integral equation methods to the numerical solution of some exterior boundary-value problems

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Boundary Integral Equations for the Three-Dimensional Helmholtz Equation

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INTEGRAL EQUATIONS FOR THE EXTERIOR ACOUSTIC PROBLEM

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Boundary integral solutions of three dimensional acoustic radiation problems

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An advanced computational method for radiation and scattering of acoustic waves in three dimensions

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MINIMIZING THE CONDITION NUMBER OF BOUNDARY INTEGRAL OPERATORS IN ACOUSTIC AND ELECTROMAGNETIC SCATTERING

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Hypersingular Boundary Integral Equations: Some Applications in Acoustic and Elastic Wave Scattering

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On the choice of the coupling parameter in boundary integral formulations of the exterior acoustic problem

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A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems

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A new form of the hypersingular boundary integral equation for 3-D acoustics and its implementation with \(C^0\) boundary elements

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An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton-Miller formulation

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Adaptive fast multipole boundary element method for three-dimensional half-space acoustic wave problems

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A fast multipole boundary element method based on the improved Burton-Miller formulation for three-dimensional acoustic problems

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Analytical integration of the moments in the diagonal form fast multipole boundary element method for 3-D acoustic wave problems

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A fast multipole boundary element method for 3D multi-domain acoustic scattering problems based on the Burton-Miller formulation

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A wideband fast multipole boundary element method for three dimensional acoustic shape sensitivity analysis based on direct differentiation method

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A Fast Multipole Boundary Element Method for Three-Dimensional Half-Space Acoustic Wave Problems Over an Impedance Plane

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A fast directional BEM for large-scale acoustic problems based on the Burton-Miller formulation

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Is the Burton-Miller formulation really free of fictitious eigenfrequencies?

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A collocation BEM for 3D acoustic problems based on a non-singular Burton-Miller formulation with linear continuous elements

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A modified dual-level fast multipole boundary element method based on the Burton-Miller formulation for large-scale three-dimensional sound field analysis

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New identities for fundamental solutions and their applications to non-singular boundary element formulations

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Boundary integral equations for thin bodies

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Analysis of shell-like structures by the Boundary Element Method based on 3-D elasticity: formulation and verification

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Continuity requirements for density functions in the boundary integral equation method

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HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE?

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Some advances in boundary integral methods for wave-scattering from cracks

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Application of `operational quadrature methods' in time domain boundary element methods

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Time Domain BEM: Numerical Aspects of Collocation and Galerkin Formulations

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The Burton and Miller Method: Unlocking Another Mystery of Its Coupling Parameter

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Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity

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Explicit evaluation of hypersingular boundary integral equations for acoustic sensitivity analysis based on direct differentiation method

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3D acoustic wave simulation using BEM formulations: closed form integration of singular and hypersingular integrals

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Analytical integrations of hypersingular kernel in 3D BEM problems

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A Hermite interpolation algorithm for hypersingular boundary integrals

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Rapid solution of integral equations of classical potential theory

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A fast algorithm for particle simulations

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Rapid solution of integral equations of scattering theory in two dimensions

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Diagonal forms of translation operators for the Helmholtz equation in three dimensions

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Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations

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The Fast Multipole Method I: Error Analysis and Asymptotic Complexity

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The fast multipole method: Numerical implementation

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A TECHNIQUE FOR PLANE-SYMMETRIC SOUND FIELD ANALYSIS IN THE FAST MULTIPOLE BOUNDARY ELEMENT METHOD

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Recursions for the Computation of Multipole Translation and Rotation Coefficients for the 3-D Helmholtz Equation

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Efficient fast multipole method for low-frequency scattering

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A multipole Galerkin boundary element method for acoustics

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Applications of the dual integral formulation in conjunction with fast multipole method in large-scale problems for 2D exterior acoustics

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A wideband fast multipole method for the Helmholtz equation in three dimensions

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GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

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The fast multipole boundary element method for potential problems: a tutorial

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A kernel-independent adaptive fast multipole algorithm in two and three dimensions

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Fast directional algorithms for the Helmholtz kernel

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The black-box fast multipole method

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Fast multipole boundary element approaches for acoustic attenuation prediction of reactive silencers

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A modified dual-level algorithm for large-scale three-dimensional Laplace and Helmholtz equation

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A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices

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Approximation of boundary element matrices

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Adaptive low-rank approximation of collocation matrices

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The fast solution of boundary integral equations.

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Hierarchical matrices. A means to efficiently solve elliptic boundary value problems

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Hierarchical Adaptive Cross Approximation GMRES Technique for Solution of Acoustic Problems Using the Boundary Element Method

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A fast direct solver for boundary integral equations in two dimensions

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Fast direct solvers for integral equations in complex three-dimensional domains

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A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization

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An \(\mathcal O(N\log N)\) fast direct solver for partial hierarchically semi-separable matrices. With application to radial basis function interpolation

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A Fast Direct Solver for High Frequency Scattering from a Large Cavity in Two Dimensions

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An \(O(N)\) direct solver for integral equations on the plane

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The Inverse Fast Multipole Method: Using a Fast Approximate Direct Solver as a Preconditioner for Dense Linear Systems

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A new fast direct solver for the boundary element method

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A Direct Boundary Integral Formulation For Acoustic Radiation In A Subsonic Uniform Flow

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On sound generated aerodynamically I. General theory

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Sound generation by turbulence and surfaces in arbitrary motion

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Convective effects and the role of quadrupole sources for aerofoil aeroacoustics

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Erratum: "A Numerical Model of an Acoustic Metamaterial Using the Boundary Element Method Including Viscous and Thermal Losses"

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Boundary element method for band gap calculations of two-dimensional solid phononic crystals

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