Abstract
The paper deals with a free boundary problem of a system of earth dams systems with unknown intermediate water levels and separated-variable filtration coefficients. Explicit formulas for the intermediate water levels and an approximate solution by the finite element method are given for the considered problem.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
P.Y. Polubarinova Kochina, “The theory of groundwater movement,” Princeton University Press, Princeton, N.J., 1962.
Benci V., On filtration problem through a porous medium, Vol. 100, Ann. Di Math. Pura ed Appl. Series 4 (1974), 191–204.
Ngo Van Luoc and Ta Hong Quang, A stationary filtration problem for earth dams systems whose filtration coefficients can be separated, (In Russian), Reports of seminar of I. Vecua Institute of Applied Mathematics, Vol. 20, Tbilisi (1986), 65–69.
Ngo Van Luoc, Ta Hong Quang and Le Kim Luat, An approximate solution of the filtration problem of earth dams systems by the finite element method, (In Vietnamese), Khoa hoc Tinh toan va Dieu khien, Vol. 1, No. 1 (1985), 21–26.
Glowinski R., Lions J.L. and Tremolierers R. “Analyse numerique des inequations variationnelles,” Tome 1 et 2, Dunonod, Paris, 1976.
Ciarlet P.G. “The finite element method for elliptic problems,” North-Holland, Amsterdam, 1977.
Baiocchi C., Comicioli V., Guerri L. and Volpi G. Free boundary problems in the theory of fluid flow through porous media: A numerical approach, Laboratorio di Analisi Numerica, PAVIA (Italy), Publiazioni 29 (1973), 1–85.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Basel AG
About this chapter
Cite this chapter
Van Luoc, N. (1991). On a free boundary problem of earth dams with separated-variable filtration coefficients. In: Neittaanmäki, P. (eds) Numerical Methods for Free Boundary Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 99. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5715-4_28
Download citation
DOI: https://doi.org/10.1007/978-3-0348-5715-4_28
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5717-8
Online ISBN: 978-3-0348-5715-4
eBook Packages: Springer Book Archive