An adaptation of the fast multipole method for evaluating layer potentials in two dimensions

DOI10.1016/0898-1221(95)00181-WzbMath0853.65124OpenAlexW2061336655MaRDI QIDQ1913429

A. McKenney

Publication date: 8 July 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00181-w

zbMATH Keywords

convergencepotential theoryfast multipole methodboundary integralslayer potentialsCauchy-form integrals

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items

A fast solver for the Stokes equations with distributed forces in complex geometries., Forcing axioms and coronas of C∗-algebras, On the evaluation of layer potentials close to their sources, Applications of the dual integral formulation in conjunction with fast multipole method in large-scale problems for 2D exterior acoustics, Fast evaluation of vector splines in three dimensions

Uses Software

• Fastcap

Cites Work

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• Fast potential theory. II: Layer potentials and discrete sums
• Laplace's equation and the Dirichlet-Neumann map in multiply connected domains
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• Applications of analysis on nilpotent groups to partial differential equations
• Contour Dynamics and the Fast Multipole Method
• The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
• A fast algorithm for particle simulations