PPPL-3976 is available in <a href="PPPL-3976.pdf">pdf</a> format (1 MB).

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<b>Self-correcting Multigrid Solver</b>
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<b>Author:</b> Jerome L.V. Lewandowski
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<b>Date of PPPL Report:</b> June 2004
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<b>Submitted to:</b> International Journal of Computational Methods
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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.



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