A parallel 3D Poisson solver for space charge simulation in cylindrical coordinates

DOI10.1016/j.cpc.2007.09.008zbMath1196.78011OpenAlexW2022412430MaRDI QIDQ710310

P. N. Ostroumov, J. Nolen, Jin Xu

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2007.09.008

zbMATH Keywords

Fourier expansionspectral element methoddomain decompositionPoisson equationspace charge

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Parallel numerical computation (65Y05) Electro- and magnetostatics (78A30)

Related Items (4)

A Fourier-Legendre spectral element method in polar coordinates ⋮ A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for space-charge simulations ⋮ Development of Finite Element Field Solver in Gyrokinetic Toroidal Code ⋮ Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions

Uses Software

• PTRACK

Cites Work

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• A fast 3D Poisson solver of arbitrary order accuracy
• A fast adaptive multipole algorithm in three dimensions
• A direct adaptive Poisson solver of arbitrary order accuracy
• Tensorial basis spline collocation method for Poisson's equation
• Parallel 3D Poisson solver for a charged beam in a conducting pipe

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