Application of the conjugate-gradient method to ground-water models
Water-Resources Investigations Report
83-4009
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Abstract
The conjugate-gradient method can solve efficiently and accurately finite-difference approximations to the ground-water flow equation. An aquifer-simulation model using the conjugate-gradient method was applied to a problem of ground-water flow in an alluvial aquifer at the Rocky Mountain Arsenal, Denver, Colorado. For this application, the accuracy and efficiency of the conjugate-gradient method compared favorably with other available methods for steady-state flow. However, its efficiency relative to other available methods depends on the nature of the specific problem. The main advantage of the conjugate-gradient method is that it does not require the use of iteration parameters, thereby eliminating this partly subjective procedure. (USGS)
Suggested Citation
Manteuffel, T., Grove, D., Konikow, L.F., 1984, Application of the conjugate-gradient method to ground-water models: U.S. Geological Survey Water-Resources Investigations Report 83-4009, iii, 24 p. :ill., maps ;28 cm., https://doi.org/10.3133/wri834009.
| Publication type | Report |
|---|---|
| Publication Subtype | USGS Numbered Series |
| Title | Application of the conjugate-gradient method to ground-water models |
| Series title | Water-Resources Investigations Report |
| Series number | 83-4009 |
| DOI | 10.3133/wri834009 |
| Year Published | 1984 |
| Language | ENGLISH |
| Publisher | U.S. Geological Survey, |
| Description | iii, 24 p. :ill., maps ;28 cm. |