The direct solution of the discrete Poisson equation on the surface of a sphere

DOI10.1016/0021-9991(74)90068-0zbMath0276.35027OpenAlexW2078781888MaRDI QIDQ1393668

Paul N. Swarztrauber

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0021-9991(74)90068-0

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (11)

Further study on the high-order double-Fourier-series spectral filtering on a sphere. ⋮ An efficient numerical technique for the solution of a nonlinear capillary wave problem ⋮ Double Fourier series on a sphere: Applications to elliptic and vorticity equations ⋮ Comparison of performance of three parallel versions of the block cyclic reduction algorithm for solving linear elliptic partial differential equations ⋮ Fast direct solvers for Poisson equation on 2D polar and spherical geometries ⋮ An efficient method for a finite-difference solution of the Poisson equation on the surface of a sphere ⋮ Direct methods for the solution of the discrete Poisson equation: some comparisons ⋮ Multigrid methods for two- and three-dimensional Poisson-type equations on the sphere ⋮ Self-sorting mixed-radix fast Fourier transforms ⋮ An adaptive fast solver for the modified Helmholtz equation in two dimensions ⋮ Fast elliptic solvers - an overview

Cites Work

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• A modified ADI method for computing the best least-squares solution of an incompatible system (A \(\times\) I + I \(\times\) B)x = g
• The Direct Solution of the Discrete Poisson Equation on a Rectangle
• On Direct Methods for Solving Poisson’s Equations
• Best Least Squares Solutions to Finite Difference Equations Using the Generalized Inverse and Tensor Product Methods
• The Direct Solution of the Discrete Poisson Equation on a Disk

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