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A multilevel iterative field solver for implicit, kinetic, plasma simulation

delete1999-03-01
delete14
PRE
AI
D
D. A. Knoll
G
Giovanni Lapenta
J
J. U. Brackbill
DOI:10.1006/jcph.1998.6159delete
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Abstract

Abstract

En 中文
The equation for electrostatic potential which arises from the implicit moment method in plasma simulation is a nonsymmetric elliptic equation. We present results using a simple multigrid method as a preconditioner to General Minimum RESidual (GMRES) to iteratively solve this nonsymmetric elliptic equation in two dimensions. It is demonstrated that a simple multigrid method produces an effective preconditioner. It is also demonstrated that under some conditions the required number of linear iterations is independent of grid dimension. Results are presented for both uniform and nonuniform grid problems. (C) 1999 Academic Press.
Keywords:
implicit plasma simulation
nonsymmetric systems
preconditioned Krylov methods
multigrid methods

Journal

Journal of Computational Physics cover
Journal of Computational Physics
IF:
3.8
Papers:
1.5W
Citations:
7.4W

Organization

No organization information available