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D4Z: A new renumbering for iterative solution of ground-water flow and solute-transport equations

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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.

Additional publication details

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