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Advantages of multigrid methods for certifying the accuracy of PDE modelingNumerical techniques for assessing and certifying the accuracy of the modeling of partial differential equations (PDE) to the user's specifications are analyzed. Examples of the certification process with conventional techniques are summarized for the three dimensional steady state full potential and the two dimensional steady Navier-Stokes equations using fixed grid methods (FG). The advantages of the Full Approximation Storage (FAS) scheme of the multigrid technique of A. Brandt compared with the conventional certification process of modeling PDE are illustrated in one dimension with the transformed potential equation. Inferences are drawn for how MG will improve the certification process of the numerical modeling of two and three dimensional PDE systems. Elements of the error assessment process that are common to FG and MG are analyzed.
Document ID
19810025338
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Forester, C. K.
(Boeing Military Airplane Development Seattle, WA, United States)
Date Acquired
August 11, 2013
Publication Date
October 1, 1981
Publication Information
Publication: NASA. Ames Research Center Multigrid Methods
Subject Category
Numerical Analysis
Accession Number
81N33881
Funding Number(s)
CONTRACT_GRANT: NAS1-16408
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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