First-order Continuation Method for Steady-State Variably Saturated Groundwater Flow Modeling
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Published:2022-04
Issue:4
Volume:43
Page:924-934
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ISSN:1995-0802
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Container-title:Lobachevskii Journal of Mathematics
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language:en
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Short-container-title:Lobachevskii J Math
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Reference42 articles.
1. L. Richards, ‘‘Capillary conduction of liquids through porous mediums,’’ Physics 1, 318–333 (1931).
2. J. Bear and A. H.-D. Cheng, Modeling Groundwater Flow and Contaminant Transport (Springer Science, New York, 2010).
3. M. W. Farthing, C. E. Kees, T. S. Coffey, C. T. Kelley, and C. T. Miller, ‘‘Efficient steady-state solution techniques for variably saturated groundwater flow,’’ Adv. Water Resour. 26, 833–849 (2003).
4. M. W. Farthing and F. L. Ogden, ‘‘Numerical solution of Richard’s equation: A review of advances and challenges,’’ Soil Sci. Soc. Am. J. 81, 1257–1269 (2017).
5. D. V. Anuprienko and I. V. Kapyrin, ‘‘Nonlinearity continuation method for steady-state groundwater flow modeling in variably saturated conditions,’’ J. Comput. Appl. Math. 393, 113502 (2021).