Three-dimensional D4Z renumbering for iterative solution of ground-water flow and transport equations
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Book chapter↗
Geology topics
J.S. Otto
Publications and source records attributed to J.S. Otto.
D4Z: A new renumbering for iterative solution of ground-water flow and solute-transport equations
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.
Conference Paper↗