Efficient Spectral-Galerkin Methods IV. Spherical Geometries

DOI10.1137/S1064827597317028zbMath0927.65137OpenAlexW2055738068MaRDI QIDQ4253071

Jie Shen

Publication date: 24 June 1999

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827597317028

zbMATH Keywords

computational complexitynumerical examplesdouble Fourier series expansionspherical layerselliptic equations on the spherefast spectral-Galerkin 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) Complexity and performance of numerical algorithms (65Y20)

Related Items (13)

A Generic and Strictly Banded Spectral Petrov–Galerkin Method for Differential Equations with Polynomial Coefficients ⋮ Mixed Jacobi-spherical harmonic spectral method for Navier-Stokes equations ⋮ Fourth-Order Time-Stepping For Stiff PDEs On The Sphere ⋮ Spectral integration of linear boundary value problems ⋮ Spectral solvers for spherical elliptic problems ⋮ High-Order Spectral Simulation of Graphene Ribbons ⋮ Computing with Functions in Spherical and Polar Geometries I. The Sphere ⋮ Navier-Stokes spectral solver in a sphere ⋮ Semi-implicit spectral collocation methods for reaction-diffusion equations on annuli ⋮ A direct Poisson solver in spherical geometry with an application to diffusiophoretic problems ⋮ Perturbation solution for the viscoelastic 3D flow around a rigid sphere subject to simple shear ⋮ An efficient pseudo-spectral Legendre-Galerkin method for solving a nonlinear partial integro-differential equation arising in population dynamics ⋮ An Efficient Spectral Method for Elliptic PDEs in Complex Domains with Circular Embedding

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