A boundary element method for axisymmetric potential problems with non‐axisymmetric boundary conditions using fast Fourier transform

DOI10.1108/02644409810219802zbMath0924.65103OpenAlexW2006797014MaRDI QIDQ4241318

Christopher G. Provatidis

Publication date: 2 November 1999

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644409810219802

zbMATH Keywords

numerical examplesboundary element methodfast Fourier transformsaxisymmetric potential problems

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

On the symmetrization of the BEM formulation ⋮ A high-order Nyström discretization scheme for boundary integral equations defined on rotationally symmetric surfaces ⋮ A hybrid fundamental-solution-based 8-node element for axisymmetric elasticity problems

Cites Work

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• A semianalytical boundary integral approach for axisymmetric elastic bodies with arbitrary boundary conditions
• On the numerical solution of axisymmetric elasticity problems using an integral equation approach
• A boundary integral approach to potential and elasticity problems for axisymmetric bodies with arbitrary boundary conditions
• Generalized axisymmetric elastodynamic analysis by boundary element method
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• Chebyshev Approximations for the Complete Elliptic Integrals K and E
• The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine and Laplace transforms

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