Recent Advances in Acoustic Boundary Element Methods
DOI10.1142/s2591728522400023OpenAlexW4295717565MaRDI QIDQ6120563
Christopher Jelich, Unnamed Author, Steffen Marburg, Unnamed Author, Unnamed Author
Publication date: 25 March 2024
Published in: Journal of Theoretical and Computational Acoustics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s2591728522400023
nonlinear eigenvalue problemmodel order reductionpollution effectenergy densitiessurface contributionsnumerical dampingCHIEFBurton and Miller methodacoustic boundary layersacoustic boundary element methodboundary layer impedancefast direct and iterative solversfast frequency sweepsnon-negative intensitiesperiodic fast multipole methodviscous and thermal losses
Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05)
Cites Work
- For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering
- An investigation of Eigenfrequencies of boundary integral equations and the Burton-Miller formulation in two-dimensional elastodynamics
- A new family of continuous/discontinuous three‐dimensional boundary elements with application to acoustic wave propagation
- Erratum: "A Numerical Model of an Acoustic Metamaterial Using the Boundary Element Method Including Viscous and Thermal Losses"
- Hierarchical matrix techniques for low- and high-frequency Helmholtz problems
- CAT'S EYE RADIATION WITH BOUNDARY ELEMENTS: COMPARATIVE STUDY ON TREATMENT OF IRREGULAR 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A method to compute periodic sums
- Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation
- Preconditioning based on Calderón's formulae for periodic fast multipole methods for Helmholtz equation
- Fictitious frequency revisited
- Adaptive fast multipole boundary element method for three-dimensional half-space acoustic wave problems
- Acoustic isogeometric boundary element analysis
- Hierarchical LU decomposition-based preconditioners for BEM
- An adaptive fast direct solver for boundary integral equations in two dimensions
- Chebyshev interpolation for nonlinear eigenvalue problems
- An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems
- General formulation of the dispersion equation in bounded visco-thermal fluid and application to some simple geometries
- Fast directional algorithms for the Helmholtz kernel
- A cost comparison of boundary element and finite element methods for problems of time-harmonic acoustics
- Rapid solution of integral equations of scattering theory in two dimensions
- Finite element analysis of acoustic scattering
- Complex wavenumber Fourier analysis of the \(p\)-version finite element method
- Diagonal forms of translation operators for the Helmholtz equation in three dimensions
- Adaptive low-rank approximation of collocation matrices
- Sparse BEM for potential theory and Stokes flow using variable order wavelets
- Performance of iterative solvers for acoustic problems. I: Solvers and effect of diagonal preconditioning.
- Performance of iterative solvers for acoustic problems. II: Acceleration by ILU-type preconditioner.
- Use of constant, linear and quadratic boundary elements in 3D wave diffraction analysis
- Approximation of boundary element matrices
- Is the Burton-Miller formulation really free of fictitious eigenfrequencies?
- Periodic band structure calculation by the Sakurai-Sugiura method with a fast direct solver for the boundary element method with the fast multipole representation
- Fast frequency sweep method for indirect boundary element models arising in acoustics
- The RSRR method for solving large-scale nonlinear eigenvalue problems in boundary element method
- Theory and implementation of \(\mathcal{H}\)-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels
- Application of the inverse fast multipole method as a preconditioner in a 3D Helmholtz boundary element method
- Computational acoustics. Based on the advanced school, Udine, Italy, May 2016
- Wavenumber-explicit analysis for the Helmholtz \(h\)-BEM: error estimates and iteration counts for the Dirichlet problem
- A fast direct solver for boundary integral equations in two dimensions
- Extended isogeometric boundary element method (XIBEM) for three-dimensional medium-wave acoustic scattering problems
- The fast multipole method: Numerical implementation
- Coupled BE-FE based vibroacoustic modal analysis and frequency sweep using a generalized resolvent sampling method
- An automatic Krylov subspaces recycling technique for the construction of a global solution basis of non-affine parametric linear systems
- An adaptive model order reduction method for boundary element-based multi-frequency acoustic wave problems
- Efficient solution of block Toeplitz systems with multiple right-hand sides arising from a periodic boundary element formulation
- Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains
- ``Interpolated factored Green function method for accelerated solution of scattering problems
- Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques
- Krylov subspaces recycling based model order reduction for acoustic BEM systems and an error estimator
- Taylor expansion based fast multipole method for 3-d Helmholtz equations in layered media
- A comparison of high-order and plane wave enriched boundary element basis functions for Helmholtz problems
- Efficient storage and interpolation of acoustic transfer functions
- Applications of an isogeometric indirect boundary element method and the importance of accurate geometrical representation in acoustic problems
- A rational approximation method for solving acoustic nonlinear eigenvalue problems
- Evaluation of hypersingular and nearly singular integrals in the isogeometric boundary element method for acoustics
- On the BEM for acoustic wave problems
- An accurate and efficient acoustic eigensolver based on a fast multipole BEM and a contour integral method
- Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung
- Numerical modelling of finite periodic arrays of acoustic resonators using an efficient 3D BEM model
- Fictitious eigenfrequencies in the BEM for interior acoustic problems
- Discontinuous isogeometric boundary element (IGABEM) formulations in 3D automotive acoustics
- Acoustic boundary layers as boundary conditions
- Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems
- Comparison of fast boundary element methods on parametric surfaces
- Fast multipole method for the biharmonic equation in three dimensions
- An \(O(N)\) direct solver for integral equations on the plane
- Efficient technique in low-frequency fast multipole boundary element method for plane-symmetric acoustic problems
- Three-dimensional viscous finite element formulation for acoustic fluid-structure interaction
- Isogeometric symmetric FE-BE coupling method for acoustic-structural interaction
- Fast multipole boundary element method for the acoustic analysis of finite periodic structures
- Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency?
- Parallelization of the inverse fast multipole method with an application to boundary element method
- The Helmholtz Equation Least Squares Method
- Novel basis functions for the partition of unity boundary element method for Helmholtz problems
- A comparison of techniques for overcoming non-uniqueness of boundary integral equations for the collocation partition of unity method in two-dimensional acoustic scattering
- Comparison of Constant and Discontinuous Quadratic Boundary Elements for Exterior Axisymmetric Acoustic-Wave Propagation Problems
- The Burton and Miller Method: Unlocking Another Mystery of Its Coupling Parameter
- A 3D BOUNDARY ELEMENT METHOD FOR DETERMINATION OF ACOUSTIC EIGENFREQUENCIES CONSIDERING ADMITTANCE BOUNDARY CONDITIONS
- SIX BOUNDARY ELEMENTS PER WAVELENGTH: IS THAT ENOUGH?
- Influence of Element Types on Numeric Error for Acoustic Boundary Elements
- FLUID STRUCTURE INTERACTION AND ADMITTANCE BOUNDARY CONDITIONS: SETUP OF AN ANALYTICAL EXAMPLE
- TREATMENT OF RANK DEFICIENCY IN ACOUSTICS USING SVD
- A Fast Randomized Algorithm for Computing a Hierarchically Semiseparable Representation of a Matrix
- GPU-accelerated boundary element method for Helmholtz' equation in three dimensions
- An FMM for periodic boundary value problems for cracks for Helmholtz' equation in 2D
- A new BEM formulation for the acoustic eigenfrequency analysis
- Numerical instabilities of the integral approach to the interior boundary-value problem for the two-dimensional Helmholtz equation
- The iterated projection solution for the Fredholm integral equation of second kind
- A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
- On the propagation of sound waves in cylindrical tubes
- The Numerical Solution of Integral Equations of the Second Kind
- The detection of surface vibrations from interior acoustical pressure
- Analytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using the real-part dual BEM
- The Fast Multipole Method I: Error Analysis and Asymptotic Complexity
- Prediction of the effects of entropy fluctuations on sound radiation from vibrating bodies using an integral equation approach
- Solution of the Helmholtz eigenvalue problem via the boundary element method
- A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization
- Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping
This page was built for publication: Recent Advances in Acoustic Boundary Element Methods