Fourth-order Poisson solver for the simulation of bounded plasmas

DOI10.1016/0021-9991(80)90054-6zbMath0452.76090OpenAlexW2074208001MaRDI QIDQ1148769

A. J. Marcus, Glenn Joyce, George Knorr

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-9991(80)90054-6

zbMATH Keywords

splinesfast Fourier transformDirichlet or Neumann boundariesfourth-order Poisson solver

Mathematics Subject Classification ID

Motion of charged particles (78A35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Probabilistic methods, stochastic differential equations (65C99)

Related Items (7)

The numerical integration of the Vlasov equation possessing an invariant ⋮ Solution of the div-curl problem in generalized curvilinear coordinates ⋮ On a direct method for solving Helmholtz's type equations in 3-D rectangular regions ⋮ A forward semi-Lagrangian method for the numerical solution of the Vlasov equation ⋮ Numerical solution to the Vlasov equation: the 1D code ⋮ Direct solution of Poisson's equation in cylindrically symmetric geometry: A fast algorithm ⋮ A fourth-order Poisson solver

Cites Work

• Computer model for bounded plasma
• Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
• Highly accurate compact implicit methods and boundary conditions
• Direct solution of partial difference equations by tensor product methods
• On Direct Methods for Solving Poisson’s Equations
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