A comparison of iterative methods as applied to the solution of the nonlinear three-dimensional groundwater flow equation

Journal Article · Wed Jul 01 00:00:00 EDT 1987 · SIAM J. Sci. Stat. Comput.; (United States)

DOI:https://doi.org/10.1137/0908049· OSTI ID:6333224

Kuiper, L K

This paper compares the efficiency of seventeen different methods for the solution of the simultaneous nonlinear finite difference approximating equations for groundwater flow in a watertable aquifer in three dimensions. Solution methods include those of Newton, Picard, and generalized linear methods. The Newton and Picard iteration methods were implemented by making use of several different linear methods including successive overrelaxation, the strongly implicit procedure, and eight different preconditioned conjugate gradient methods. The best methods were found to be those using Picard iteration implemented with the preconditioned conjugate gradient method.

• Research Organization: Water Resources Div., U.S. Geological Survey, Austin, TX
• OSTI ID: 6333224
• Journal Information: SIAM J. Sci. Stat. Comput.; (United States), Vol. 8:4
• Country of Publication: United States
• Language: English

Related Subjects

54 ENVIRONMENTAL SCIENCES
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
GROUND WATER
COMPUTERIZED SIMULATION
FLOW MODELS
AQUIFERS
CALCULATION METHODS
EQUATIONS
ITERATIVE METHODS
NONLINEAR PROBLEMS
THREE-DIMENSIONAL CALCULATIONS
HYDROGEN COMPOUNDS
MATHEMATICAL MODELS
OXYGEN COMPOUNDS
SIMULATION
WATER
520100* - Environment
Aquatic- Basic Studies- (-1989)
990220 - Computers
Computerized Models
& Computer Programs- (1987-1989)
990230 - Mathematics & Mathematical Models- (1987-1989)