Abstract
We consider the boundary-value problem modeling planar seepage of groundwater from a single source contour to a regular infinite system of perfect drainage ditches. A fast converging iterative method is developed for such problems, based on the P-transformation method and the method of accelerated successive over relaxation.
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I. P. Gavrilyuk, “Solution of mixed boundary-value problems for the Poisson equation in a rectangle,” Vychisl. Prikl. Matem., No. 21, 69–78 (1973).
G. N. Polozhii, Numerical Solution of Two-Dimensional and Three-Dimensional Boundary-Value Problems of Mathematical Physics and Functions of a Discrete Argument [in Russian], Izd. Kiev. Univ., Kiev (1962).
A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1977).
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 63, pp. 86–92, 1987.
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Velikoivanenko, I.M., Prokhur, Y.Z. A computational procedure for planar seepage problems in unbounded domains. J Math Sci 66, 2197–2202 (1993). https://doi.org/10.1007/BF01098607
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DOI: https://doi.org/10.1007/BF01098607