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Numerical methods and programming, 2011, Volume 12, Issue 1, Pages 85–89 (Mi vmp171)  
Вычислительные методы и приложения

Mathematical modeling of the two-dimensional process of changing groundwater levels under gravity by the method of discrete singularities

D. N. Nikol'skii, V. I. Dorofeeva

Orel State University
Full-text PDF (215 kB)
Abstract: A new mathematical model for the two-dimensional process of groundwater hill subsidence is proposed. The model is tested with the use of known solutions to the plane problems. An example of groundwater subsidence in a layer whose permeability varies according to a power law is discussed.
Keywords: free-surface evolution; method of integral equations; method of discrete singularities.
Document Type: Article
UDC: 532.546
Language: Russian
Citation: D. N. Nikol'skii, V. I. Dorofeeva, “Mathematical modeling of the two-dimensional process of changing groundwater levels under gravity by the method of discrete singularities”, Num. Meth. Prog., 12:1 (2011), 85–89
Citation in format AMSBIB
\Bibitem{NikDor11}
\by D.~N.~Nikol'skii, V.~I.~Dorofeeva
\paper Mathematical modeling of the two-dimensional process of changing
groundwater levels under gravity by the method of discrete singularities
\jour Num. Meth. Prog.
\yr 2011
\vol 12
\issue 1
\pages 85--89
\mathnet{http://mi.mathnet.ru/vmp171}
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