Spectral algorithms for vector elliptic equations in a spherical gap

DOI10.1016/0021-9991(85)90083-XzbMath0591.65081MaRDI QIDQ1075029

S. C. R. Dennis, Luigi Quartapelle

Publication date: 1985

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

Chebyshev polynomialsspherical harmonicsHelmholtzPoissonbiharmonicmethod of truncated series expansionSpectral algorithms

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Nonlinear dynamics in Langmuir circulations with O(2) symmetry, On the spectral solution of the three-dimensional Navier-Stokes equations in spherical and cylindrical regions, Double Fourier series on a sphere: Applications to elliptic and vorticity equations, Numerical solution of two-point boundary value problems, Transformations of matrices into banded form

Cites Work

• Direct solution of the vorticity-stream function ordinary differential equations by a Chebyshev approximation
• Spectral methods for problems in complex geometries
• The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
• Some new characterizations of the Chebyshev polynomials
• Numerical solution of problems in unbounded regions: coordinate transforms
• On the Spectral Approximation of Discrete Scalar and Vector Functions on the Sphere
• Solution of three-dimensional incompressible flow problems
• The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine and Laplace transforms
• A Recurrence Technique for Expanding a Function in Spherical Harmonics
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