Three ways to solve the Poisson equation on a sphere with Gaussian forcing
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Publication:2390423
DOI10.1016/j.jcp.2009.03.023zbMath1173.65068OpenAlexW1971698725MaRDI QIDQ2390423
Publication date: 22 July 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2009.03.023
convergencesphereasymptotic expansionsPoisson equationvortex methodLegendre expansionbroad Gaussianscancellation of logarithmic singularitiescompact Gaussians
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items
Explicit, parallel Poisson integration of point vortices on the sphere, RBF-vortex methods for the barotropic vorticity equation on a sphere
Cites Work
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- Chaotic advection in the restricted four-vortex problem on a sphere
- Approximate approximations from scattered data
- Chaotic motion of the \(N\)-vortex problem on a sphere. II. Saddle centers in three-degree-of-freedom Hamiltonians
- An extension of Draghicescu's fast tree-code algorithm to the vortex method on a sphere
- Desingularization of periodic vortex sheet roll-up
- Contour dynamics/surgery on the sphere
- Streamline topologies for integrable vortex motion on a sphere
- Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices
- Motion of three point vortices on a sphere
- Transport schemes on a sphere using radial basis functions
- On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere
- The N -vortex problem on a rotating sphere. II. Heterogeneous Platonic solid equilibria
- TheN-vortex problem on a rotating sphere. I Multi-frequency configurations
- Integrable four-vortex motion on sphere with zero moment of vorticity
- Point vortex motion on a sphere with solid boundaries
- Motion of a vortex sheet on a sphere with pole vortices
- A Stable Algorithm for Flat Radial Basis Functions on a Sphere
- A study of singularity formation in a vortex sheet by the point-vortex approximation
- A fast contour dynamics method for many-vortex calculations in two-dimensional flows
- Vortex motion on surfaces with constant curvature
- Advances in viscous vortex methods?meshless spatial adaption based on radial basis function interpolation
- The N -vortex problem on a rotating sphere. III. Ring configurations coupled to a background field
- A Comparative Study of Lagrangian Methods Using Axisymmetric and Deforming Blobs
- High-dimensional heteroclinic and homoclinic connections in odd point-vortex ring on a sphere
- The \(N\)-vortex problem. Analytical techniques
- Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
