A convergence theorem for the fast multipole method for 2 dimensional scattering problems

DOI10.1090/S0025-5718-98-00937-5zbMath0903.65085MaRDI QIDQ4383181

Christophe Labreuche

Publication date: 24 March 1998

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

convergencescatteringHelmholtz equationmultigridfast multipole methodmoment methodHankel functionacoustic problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

Analysis of numerical integration error for Bessel integral identity in fast multipole method for 2D Helmholtz equation ⋮ Explicit error bound of the fast multipole method for scattering problems in 2-D ⋮ Diagonal form fast multipole boundary element method for 2D acoustic problems based on Burton-Miller boundary integral equation formulation and its applications ⋮ Multi-level fast multipole solution of the scattering problem. ⋮ A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications

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