Premium
A comparison of the incomplete cholesky‐conjugate gradient method with the strongly implicit method as applied to the solution of two‐dimensional groundwater flow equations
Author(s) -
Kuiper L. K.
Publication year - 1981
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr017i004p01082
Subject(s) - cholesky decomposition , aquifer , conjugate gradient method , groundwater flow , mathematics , initialization , groundwater model , water table , groundwater , mathematical optimization , computer science , geology , geotechnical engineering , eigenvalues and eigenvectors , physics , quantum mechanics , programming language
This paper compares the efficiency of the strongly implicit procedure (SIP) and the incomplete Cholesky‐conjugate gradient method (ICCG) applied to the solution of the finite difference approximating equations for groundwater flow. Results for five isotropic two‐dimensional test problems are presented. Three are linear confined aquifer problems, and two are nonlinear water table aquifer problems; in all but one of the test problems the aquifer was considered to be nonhomogeneous. Both SIP and ICCG as applied to water table aquifer problems make use of iteration parameters. These were varied for each of the test problems to reduce the amount of computational work needed to find a solution. ICCG was usually substantially more efficient than SIP when applied to the confined aquifer test problems. For the water table aquifer test problems, SIP and ICCG performed equally well.