A low frequency elastodynamic fast multipole boundary element method in three dimensions
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Publication:889686
DOI10.1007/s00466-015-1205-7zbMath1329.74219OpenAlexW1930162532WikidataQ113327596 ScholiaQ113327596MaRDI QIDQ889686
D. R. Wilkes, Andrew J. Duncan
Publication date: 9 November 2015
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-015-1205-7
Classical linear elasticity (74B05) Contact in solid mechanics (74M15) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (5)
Improvement of hierarchical matrices for 3D elastodynamic problems with a complex wavenumber ⋮ The fast multi-pole indirect BEM for solving high-frequency seismic wave scattering by three-dimensional superficial irregularities ⋮ Application of the inverse fast multipole method as a preconditioner in a 3D Helmholtz boundary element method ⋮ 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
Cites Work
- Unnamed Item
- Unnamed Item
- A new fast multipole formulation for the elastodynamic half-space Green's tensor
- Efficiency improvement of the frequency-domain BEM for rapid transient elastodynamic analysis
- Fast multipole method applied to 3-D frequency domain elastodynamics
- Fast multipole methods on graphics processors
- Multilevel fast multipole algorithm for elastic wave scattering by large three-dimensional objects
- An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton-Miller formulation
- Rapid solution of integral equations of classical potential theory
- Fast multipole method as an efficient solver for 2D elastic wave surface integral equations
- Diagonal forms of translation operators for the Helmholtz equation in three dimensions
- Recent advances on the fast multipole accelerated boundary element method for 3D time-harmonic elastodynamics
- Combining analytic preconditioner and fast multipole method for the 3-D Helmholtz equation
- 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 direct formulation and numerical solution of the general transient elastodynamic problem. II
- A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain
- Calderon's preconditioning for periodic fast multipole method for elastodynamics in 3D
- A fast hierarchical dual boundary element method for three-dimensional elastodynamic crack problems
- Scattering of a Plane Longitudinal Wave by a Spherical Obstacle in an Isotropically Elastic Solid
- On the computation of nearly singular integrals in 3D BEM collocation
- Boundary Integrals in Elastodynamics
- Recursions for the Computation of Multipole Translation and Rotation Coefficients for the 3-D Helmholtz Equation
- A Preconditioned 3-D Multi-Region Fast Multipole Solver for Seismic Wave Propagation in Complex Geometries
- A wideband fast multipole accelerated boundary integral equation method for time‐harmonic elastodynamics in two dimensions
- A Flexible Inner-Outer Preconditioned GMRES Algorithm
- A fast algorithm for particle simulations
- Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz equation
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