Fast multipole method as an efficient solver for 2D elastic wave surface integral equations

DOI10.1007/s004660050270zbMath0912.73077OpenAlexW1975965863MaRDI QIDQ1129536

S. H. Smith

Publication date: 25 May 1999

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004660050270

zbMATH Keywords

conjugate gradient algorithmscattering problemdense matrixmatrix-vector multiplicationlarge solid-solid boundary integral equationsnumber of floating-point operationsray propagation technique

Mathematics Subject Classification ID

Surface waves in solid mechanics (74J15)

Related Items

A fast BIEM for three-dimensional elastodynamics in time domain, FMM-BEM algorithm based on improved free surface Green's function, Application of fast multipole Galerkin boundary integral equation method to elastostatic crack problems in 3D, A low frequency elastodynamic fast multipole boundary element method in three dimensions, Time domain boundary element method for semi-infinite domain problems using CSR storage method, Two-dimensional FM-IBEM solution to the broadband scattering of elastic waves in a fluid-saturated poroelastic half-space, Adaptive fast multipole boundary element method for three-dimensional half-space acoustic wave problems, A fast BIEM for three-dimensional elastodynamics in time domain., A fast multipole boundary integral equation method for crack problems in 3D, A high-order, fast algorithm for scattering calculation in two dimensions, A wideband fast multipole accelerated boundary integral equation method for time‐harmonic elastodynamics in two dimensions, Fast multipole singular boundary method for Stokes flow problems, Fast multipole boundary element method for the Laplace equation in a locally perturbed half-plane with a Robin boundary condition, Applications of the dual integral formulation in conjunction with fast multipole method in large-scale problems for 2D exterior acoustics, Application of new fast multipole boundary integral equation method to crack problems in 3D, Multilevel fast multipole algorithm for elastic wave scattering by large three-dimensional objects, Fast multipole method applied to symmetric Galerkin boundary element method for 3D elasticity and fracture problems, An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton-Miller formulation, On the pseudo-differential operators in the dual boundary integral equations using degenerate kernels and circulants