Improving the convergence rate to steady state of parabolic ADI methods

Saul S. Abarbanel; Douglas L. Dwoyer; David Gottlieb

doi:10.1016/0021-9991(86)90111-7

Improving the convergence rate to steady state of parabolic ADI methods

Saul S. Abarbanel, Douglas L. Dwoyer, David Gottlieb

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The rate of convergence to steady state of parabolic ADI solvers is analyzed in terms of the L₂-norms of the residuals. The analysis allows one to predict the number of iterations necessary for convergence as function of the Courant number, λ. A simple modification of existing ADI codes is devised. It improves the convergence rate substantially and is insensitive to the Courant number in a large range of λ.

Original language	English
Pages (from-to)	1-18
Number of pages	18
Journal	Journal of Computational Physics
Volume	67
Issue number	1
DOIs	https://doi.org/10.1016/0021-9991(86)90111-7
State	Published - Nov 1986
Externally published	Yes

Bibliographical note

Funding Information:
* Research was supported in part by the U.S. Air Force Office of Scientific Research under Grant AFOSR-80-0249 and in part by the NASA Cooperative Agreement NCCl-45. + Research was supported in part by the U.S. Army Research and Standardization Group (Europe) under Contract DAJA 38-80-C-0032 and in part by NASA Contract NAS l-15810 while the author was in residence at ICASE, NASA Langley Research Center, Hampton, Virginia 23665.

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abstract = "The rate of convergence to steady state of parabolic ADI solvers is analyzed in terms of the L2-norms of the residuals. The analysis allows one to predict the number of iterations necessary for convergence as function of the Courant number, λ. A simple modification of existing ADI codes is devised. It improves the convergence rate substantially and is insensitive to the Courant number in a large range of λ.",

author = "Abarbanel, {Saul S.} and Dwoyer, {Douglas L.} and David Gottlieb",

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Improving the convergence rate to steady state of parabolic ADI methods

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