On the pseudo-differential operators in the dual boundary integral equations using degenerate kernels and circulants

DOI10.1016/S0955-7997(01)00087-XzbMath0996.65127OpenAlexW2076829752WikidataQ127491324 ScholiaQ127491324MaRDI QIDQ1604024

R. Smith

Publication date: 3 July 2002

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0955-7997(01)00087-x

zbMATH Keywords

numerical resultsdouble layercondition numberdual boundary integral equationsLaplace equationHelmholtz equationsspectral propertypseudo-differential operatordual boundary element methodcircular domaindegenerate kernelCalderón projectorsingle layer

Mathematics Subject Classification ID

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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• Fast multipole method as an efficient solver for 2D elastic wave surface integral equations
• On fictitious frequencies using circulants for radiation problems of a cylinder
• Determination of spurious eigenvalues and multiplicities of true eigenvalues using the real-part dual BEM
• A fast multipole boundary integral equation method for crack problems in 3D
• On boundary integral operators for the Laplace and the Helmholtz equations and their discretisations
• Error estimation for boundary element method
• On fictitious frequencies using dual series representation
• Analytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using the real-part dual BEM
• Analytical study and numerical experiments for degenerate scale problems in boundary element method using degenerate kernels and circulants

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