D4Z: A new renumbering for iterative solution of ground-water flow and solute-transport equations
By: K.L. Kipp, T.F. Russell, and J.S. Otto
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Abstract
D4 zig-zag (D4Z) is a new renumbering scheme for producing a reduced matrix to be solved by an incomplete LU preconditioned, restarted conjugate-gradient iterative solver. By renumbering alternate diagonals in a zig-zag fashion, a very low sensitivity of convergence rate to renumbering direction is obtained. For two demonstration problems involving groundwater flow and solute transport, iteration counts are related to condition numbers and spectra of the reduced matrices.
| Publication type | Conference Paper |
|---|---|
| Publication Subtype | Conference Paper |
| Title | D4Z: A new renumbering for iterative solution of ground-water flow and solute-transport equations |
| Volume | 1 |
| Year Published | 1992 |
| Language | English |
| Publisher | Computational Mechanics Publ |
| Publisher location | Southampton, United Kingdom |
| Contributing office(s) | Toxic Substances Hydrology Program |
| Description | 8 p. |
| Larger Work Type | Book |
| Larger Work Subtype | Conference publication |
| Larger Work Title | Finite Elements in Water Resources, Proceedings of the International Conference |
| First page | 495 |
| Last page | 502 |
| Conference Title | Proceedings of the 9th International Conference on Computational Methods in Water Resources |
| Conference Location | Denver, CO |
| Conference Date | June 1, 1992 |