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 | |
| 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.
Funding
* 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.
| Funders | Funder number |
|---|---|
| NASA Langley Research Center, Hampton, Virginia | 23665 |
| U.S. Army Research and Standardization Group | NAS l-15810, DAJA 38-80-C-0032 |
| National Aeronautics and Space Administration | NCCl-45 |
| Air Force Office of Scientific Research | AFOSR-80-0249 |