A fast boundary element method for the two-dimensional Helmholtz equation
type: Item
instance of: scholarly article
title: A fast boundary element method for the two-dimensional Helmholtz equation
zbMATH Open document ID: 0844.76063
DOI: 10.1016/0045-7825(93)90210-O
author: Yi Yan
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-05-06T00:00:00Z
Mathematics Subject Classification ID: 76M15
Mathematics Subject Classification ID: 76Q05
zbMATH DE Number: 874002
zbMATH Keywords: iterations
zbMATH Keywords: boundary integral equations
zbMATH Keywords: exterior Dirichlet problem
zbMATH Keywords: quadrature method
zbMATH Keywords: preconditioned iterative method
zbMATH Keywords: polynomial rate of convergence
MaRDI profile type: Publication
cites work: Diffraction of Steady Elastic Waves by Surfaces of Arbitrary Shape
cites work: Predicting the Acoustics of Arbitrarily Shaped Bodies Using an Integral Approach
cites work: A unified boundary integral equation method for a class of second order elliptic boundary value problems
cites work: Q4728173
cites work: Q4732066
cites work: Multiple Grid Methods for the Solution of Fredholm Integral Equations of the Second Kind
cites work: Multigrid methods for boundary integral equations
cites work: Rapid solution of integral equations of scattering theory in two dimensions
cites work: Sparse matrix approximation to an integral equation of scattering
cites work: Sparse Approximation for Solving Integral Equations with Oscillatory Kernels
cites work: Q3730980
cites work: Q4016508
cites work: Equivalence of Nystrom's Method and Fourier Methods for the Numerical Solution of Fredholm Integral Equations
cites work: Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung
cites work: Zur Dirichletschen Randwertaufgabe des Außenraumes der Schwingungsgleichung
cites work: Q5519393
cites work: On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation
cites work: The application of integral equation methods to the numerical solution of some exterior boundary-value problems
cites work: Q3672341
cites work: Über eine Methode zum räumlichen Neumannschen Problem mit einer Anwendung für torusartige Berandungen
cites work: Ein numerisches Verfahren zur Lösung des Neumannschen Außenraumproblems für die Helmholtzsche Schwingungsgleichung
cites work: A numerical method for the exterior Dirichlet problem for the reduced wave equation
cites work: Fast solution methods for Fredholm integral equations of the second kind
cites work: Iterative variants of the Nystrom method for the numerical solution of integral equations
cites work: Iterative Solution of Linear Systems Arising from the Boundary Integral Method
full work available at URL: 0045-7825(93)90210-o
OpenAlex ID: W2053350823
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description: scientific article; zbMATH DE number 874002