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Adaptive Underrelaxation of Picard Iterations in Ground Water Models
Author(s) -
Durbin Timothy,
Delemos David
Publication year - 2007
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/j.1745-6584.2007.00329.x
Subject(s) - nonlinear system , convergence (economics) , rate of convergence , mathematics , flow (mathematics) , water flow , calculus (dental) , computer science , geotechnical engineering , key (lock) , geology , geometry , physics , computer security , quantum mechanics , economics , economic growth , medicine , dentistry
This methods note examines the use of adaptive underrelaxation of Picard iterations to accelerate the solution convergence for nonlinear ground water flow problems. Ground water problems are nonlinear when drains, phreatophytes, stream aquifer, and similar features are simulated. Typically, simple Picard iterations are used to address such nonlinear problems. Nevertheless, the convergence rate can be slow, or convergence cannot be obtained. However, convergence often can be accelerated using Picard iterations with adaptive underrelaxation, and convergence often can be obtained where it otherwise would not occur.