Fully discrete spectral methods for boundary integral equations on slender spheroids.

DOI10.1016/S0377-0427(03)00488-6zbMath1040.65100OpenAlexW2038707334MaRDI QIDQ1426779

Mahadevan Ganesh

Publication date: 15 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(03)00488-6

zbMATH Keywords

double layerboundary integral equationeigenvectorshypersingular integralspectral methodsspheroidssingle layerexterior potential boundary value problemsgeneralised eigenvalueinterior potential boundary value problem

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) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Cites Work

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• On the eigenvalues of the electrostatic integral operator
• Hyperinterpolation on the sphere at the minimal projection order
• Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in \(\mathbb R^3\)
• A REVIEW OF INFINITE ELEMENT METHODS FOR EXTERIOR HELMHOLTZ PROBLEMS
• The Numerical Solution of Laplace’s Equation in Three Dimensions
• A Pseudospectral Three-Dimensional Boundary Integral Method Applied to a Nonlinear Model Problem from Finite Elasticity
• The performance of spheroidal infinite elements
• Boundary Element Preconditioners for Problems Defined on Slender Domains
• The Numerical Solution of Fredholm integral Equations of the Second Kind

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