The choice of spectral element basis functions in domains with an axis of symmetry

DOI10.1016/J.CAM.2006.02.016zbMath1110.65109OpenAlexW1999686786MaRDI QIDQ869542

Timothy N. Phillips, R. G. M. van Os

Publication date: 8 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.016

zbMATH Keywords

spectral element methodStokes flownumerical examplesPoisson equationaxial conditions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Legendre spectral element method for solving Volterra-integro differential equations ⋮ Unnamed Item ⋮ Legendre spectral element method for solving sine-Gordon equation ⋮ Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation

Cites Work

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• Formulation of a Galerkin spectral element--Fourier method for three-dimensional incompressible flows in cylindrical geometries
• Finite element approximation of the Navier-Stokes equations
• Preconditioned Chebyshev collocation for non-Newtonian fluid flows
• Spectral element methods for axisymmetric Stokes problems
• A Fourier-spectral element algorithm for thermal convection in rotating axisymmetric containers
• Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
• The prediction of complex flows of polymer melts using spectral elements
• Mixed and Hybrid Finite Element Methods
• Compatible Spectral Approximations for the Velocity-Pressure-Stress Formulation of the Stokes Problem

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