Self-correcting Multigrid Solver

Lewandowski, Jerome L.V.

Princeton University. Plasma Physics Laboratory.

关键词: Numerical Simulation;    70 Plasma Physics And Fusion Technology;    Source Terms;    Wavelengths Mathematical Physics;    Mathematical Physics;   

DOI  :  10.2172/828268
RP-ID  :  PPPL-3976
RP-ID  :  AC02-76CH03073
RP-ID  :  828268

美国|英语

来源: UNT Digital Library

【 摘 要 】

A new multigrid algorithm based on the method of self-correction for the solution of elliptic problems is described. The method exploits information contained in the residual to dynamically modify the source term (right-hand side) of the elliptic problem. It is shown that the self-correcting solver is more efficient at damping the short wavelength modes of the algebraic error than its standard equivalent. When used in conjunction with a multigrid method, the resulting solver displays an improved convergence rate with no additional computational work.