Recent advances on the fast multipole accelerated boundary element method for 3D time-harmonic elastodynamics
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Publication:1756509
DOI10.1016/j.wavemoti.2013.03.008zbMath1454.74142OpenAlexW2027491091MaRDI QIDQ1756509
Marc Bonnet, Stéphanie Chaillat
Publication date: 14 January 2019
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.wavemoti.2013.03.008
Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (17)
Improvement of hierarchical matrices for 3D elastodynamic problems with a complex wavenumber ⋮ Approximate local Dirichlet-to-Neumann map for three-dimensional time-harmonic elastic waves ⋮ The multi-domain FMM-IBEM to model elastic wave scattering by three-dimensional inclusions in infinite domain ⋮ Modelling of acoustic and elastic wave propagation from underground structures using a 2.5D BEM-FEM approach ⋮ The fast multi-pole indirect BEM for solving high-frequency seismic wave scattering by three-dimensional superficial irregularities ⋮ A low frequency elastodynamic fast multipole boundary element method in three dimensions ⋮ Theory and implementation of \(\mathcal{H}\)-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels ⋮ Transient elastic wave analysis of 3-D large-scale cavities by fast multipole BEM using implicit Runge-Kutta convolution quadrature ⋮ Fast iterative boundary element methods for high-frequency scattering problems in 3D elastodynamics ⋮ Fundamental solutions in 3D elastodynamics for the BEM: a review ⋮ An explicitly-sparse representation for oscillatory kernels with wave atom-like functions ⋮ On the efficiency of nested GMRES preconditioners for 3D acoustic and elastodynamic \(\mathcal{H}\)-matrix accelerated boundary element methods ⋮ Metric-based anisotropic mesh adaptation for 3D acoustic boundary element methods ⋮ A windowed Green function method for elastic scattering problems on a half-space ⋮ Analytical preconditioners for Neumann elastodynamic boundary element methods ⋮ Scattering of elastic waves by a 3-D inclusion in a poroelastic half space ⋮ A fast directional boundary element method for wideband multi-domain elastodynamic analysis
Cites Work
- Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation
- An accelerated symmetric time-domain boundary element formulation for elasticity
- Rapid solution of 3-D oscillatory elastodynamics using the pfft accelerated BEM
- Long-time stable high-order absorbing boundary conditions for elastodynamics
- A kernel-independent adaptive fast multipole algorithm in two and three dimensions
- A monolithic approach to fluid-structure interaction using space-time finite elements
- A fast direct solver for scattering problems involving elongated structures
- A stable well-conditioned integral equation for electromagnetism scattering
- Hierarchical matrices. A means to efficiently solve elliptic boundary value problems
- Multilevel fast multipole algorithm for elastic wave scattering by large three-dimensional objects
- The black-box fast multipole method
- Rapid solution of integral equations of classical potential theory
- Convolution quadrature and discretized operational calculus. I
- The construction of some efficient preconditioners in the boundary element method
- On the numerical stability of time-domain elastodynamic analyses by BEM
- Seismic soil-structure interaction analysis by direct boundary element methods
- Sparse BEM for potential theory and Stokes flow using variable order wavelets
- A fast BIEM for three-dimensional elastodynamics in time domain
- Some efficient boundary integral strategies for time-harmonic wave problems in an elastic halfspace
- The fast multipole method: Numerical implementation
- Combining analytic preconditioner and fast multipole method for the 3-D Helmholtz equation
- A matrix-free two-grid preconditioner for solving boundary integral equations in electromagnetism
- A wideband fast multipole method for the Helmholtz equation in three dimensions
- Application of the multi-level time-harmonic fast multipole BEM to 3-D visco-elastodynamics
- A direct formulation and numerical solution of the general transient elastodynamic problem I
- A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain
- On the analysis of wave motions in a multi-layered solid
- Precorrected FFT accelerated BEM for large-scale transient elastodynamic analysis using frequency-domain approach
- Calderon's preconditioning for periodic fast multipole method for elastodynamics in 3D
- Wave Propagation Problems Treated with Convolution Quadrature and BEM
- Accurate Force Evaluation for Industrial Magnetostatics Applications with Fast Bem-Fem Approaches
- A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures
- A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers
- Accelerating Galerkin BEM for linear elasticity using adaptive cross approximation
- A Fast Boundary Element Method for the Analysis of Fiber-Reinforced Composites Based on a Rigid-Inclusion Model
- Fast Directional Multilevel Algorithms for Oscillatory Kernels
- An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations
- Convolution quadrature method-based symmetric Galerkin boundary element method for 3-d elastodynamics
- FE/FMBE coupling to model fluid-structure interaction
- An energy approach to space-time Galerkin BEM for wave propagation problems
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- MIXED TRANSFORM FINITE ELEMENT METHOD FOR SOLVING THE NON-LINEAR EQUATION FOR FLOW IN VARIABLY SATURATED POROUS MEDIA
- The Fast Multipole Method I: Error Analysis and Asymptotic Complexity
- A Preconditioned 3-D Multi-Region Fast Multipole Solver for Seismic Wave Propagation in Complex Geometries
- Alternative integral equations for the iterative solution of acoustic scattering problems
- A Preconditioner for the Electric Field Integral Equation Based on Calderon Formulas
- Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations
- Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation
- A wideband fast multipole accelerated boundary integral equation method for time‐harmonic elastodynamics in two dimensions
- A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization
- A boundary element formulation in time domain for viscoelastic solids
- Direct Solve of Electrically Large Integral Equations for Problem Sizes to 1 M Unknowns
- Rayleigh wave correction for the BEM analysis of two‐dimensional elastodynamic problems in a half‐space
- Combining Fast Multipole Techniques and an Approximate Inverse Preconditioner for Large Electromagnetism Calculations
- A fast algorithm for particle simulations
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
- Error estimation and adaptive mesh refinement in boundary element method, an overview
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