Analysis of numerical integration error for Bessel integral identity in fast multipole method for 2D Helmholtz equation

DOI10.1007/s12204-010-1070-7zbMath1219.65141OpenAlexW1504066038MaRDI QIDQ615361

Yijun J. Liu, Wei-kang Jiang, Hai-jun Wu

Publication date: 5 January 2011

Published in: Journal of Shanghai Jiaotong University (Science) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12204-010-1070-7

zbMATH Keywords

scatteringboundary element methodnumerical experimentserror boundsfast multipole methodEuler-Maclaurin formula2D Helmholtz equationBessel integral identitysquare quadrature ruletrapezoidal quadrature rule

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

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