A new fast multipole formulation for the elastodynamic half-space Green's tensor
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Publication:348648
DOI10.1016/j.jcp.2013.11.010zbMath1349.74349OpenAlexW1968685911MaRDI QIDQ348648
Marc Bonnet, Stéphanie Chaillat
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2013.11.010
Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)
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The fast multi-pole indirect BEM for solving high-frequency seismic wave scattering by three-dimensional superficial irregularities ⋮ A Fourier-accelerated volume integral method for elastoplastic contact ⋮ A low frequency elastodynamic fast multipole boundary element method in three dimensions ⋮ Two-dimensional FM-IBEM solution to the broadband scattering of elastic waves in a fluid-saturated poroelastic half-space ⋮ Fundamental solutions in 3D elastodynamics for the BEM: a review ⋮ The half-space matching method for elastodynamic scattering problems in unbounded domains ⋮ A windowed Green function method for elastic scattering problems on a half-space ⋮ Discussion on the time-harmonic elastodynamic half-space Green's function obtained by superposition ⋮ A fast multipole method for the evaluation of elastostatic fields in a half-space with zero normal stress ⋮ The sparse cardinal sine decomposition and its application for fast numerical convolution ⋮ A fast directional boundary element method for wideband multi-domain elastodynamic analysis ⋮ A modal strategy devoted to the hidden state variables method with large interfaces
Cites Work
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- Efficient fast multipole method for low-frequency scattering
- Seismic soil-structure interaction analysis by direct boundary element methods
- Diagonal forms of translation operators for the Helmholtz equation in three dimensions
- On the stress-wave imaging of cavities in a semi-infinite solid
- 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
- 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 multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain
- On the analysis of wave motions in a multi-layered solid
- Calderon's preconditioning for periodic fast multipole method for elastodynamics in 3D
- A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures
- Theoretical aspects and numerical computation of the time-harmonic Green's function for an isotropic elastic half-plane with an impedance boundary condition
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
- Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators
- Nonlinear Optimization, Quadrature, and Interpolation
- Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions
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