Fast direct solvers for Poisson equation on 2D polar and spherical geometries
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Publication:2778276
DOI10.1002/num.1038zbMath0993.65114OpenAlexW2095389137WikidataQ115404813 ScholiaQ115404813MaRDI QIDQ2778276
Publication date: 2002
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.1038
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Finite difference methods for boundary value problems involving PDEs (65N06)
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Cites Work
- Pole condition for singular problems: The pseudospectral approximation
- Multigrid methods for two- and three-dimensional Poisson-type equations on the sphere
- Spectral collocation methods and polar coordinate singularities
- The direct solution of the discrete Poisson equation on the surface of a sphere
- Essentially compact schemes for unsteady viscous incompressible flows
- Double Fourier series on a sphere: Applications to elliptic and vorticity equations
- Numerical treatment of polar coordinate singularities
- A note on finite difference discretizations for Poisson equation on a disk
- High-Order Finite-Differences Schemes to Solve Poisson's Equation in Polar Coordinates
- Efficient Spectral-Galerkin Methods III: Polar and Cylindrical Geometries
- Physical constraints on the coefficients of Fourier expansions in cylindrical coordinates
- A Pseudospectral Approach for Polar and Spherical Geometries
- The Direct Solution of the Discrete Poisson Equation on a Disk
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