A free boundary value problem for water invading an unsaturated medium

A. Kharab; R. B. Guenther

doi:10.1007/BF02240095

A free boundary value problem for water invading an unsaturated medium

A. Kharab^*
, R. B. Guenther

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We discuss a mathematical model arising in the filtration of a fluid through a porous medium. The model leads to a free boundary value problem whose governing equation depends on the retention function. A numerical approximation by means of finite elements is used to obtain an existence and uniqueness theorem along with an error estimate for a linear retention function.

Original language	English
Pages (from-to)	185-207
Number of pages	23
Journal	Computing (Vienna/New York)
Volume	38
Issue number	3
DOIs	https://doi.org/10.1007/BF02240095
State	Published - Sep 1987

ASJC Scopus subject areas

Software
Theoretical Computer Science
Numerical Analysis
Computer Science Applications
Computational Theory and Mathematics
Computational Mathematics

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10.1007/BF02240095

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title = "A free boundary value problem for water invading an unsaturated medium",

abstract = "We discuss a mathematical model arising in the filtration of a fluid through a porous medium. The model leads to a free boundary value problem whose governing equation depends on the retention function. A numerical approximation by means of finite elements is used to obtain an existence and uniqueness theorem along with an error estimate for a linear retention function.",

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AU - Guenther, R. B.

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N2 - We discuss a mathematical model arising in the filtration of a fluid through a porous medium. The model leads to a free boundary value problem whose governing equation depends on the retention function. A numerical approximation by means of finite elements is used to obtain an existence and uniqueness theorem along with an error estimate for a linear retention function.

AB - We discuss a mathematical model arising in the filtration of a fluid through a porous medium. The model leads to a free boundary value problem whose governing equation depends on the retention function. A numerical approximation by means of finite elements is used to obtain an existence and uniqueness theorem along with an error estimate for a linear retention function.

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DO - 10.1007/BF02240095

M3 - Article

AN - SCOPUS:0023208788

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JO - Computing (Vienna/New York)

JF - Computing (Vienna/New York)

IS - 3

ER -

A free boundary value problem for water invading an unsaturated medium

Abstract

ASJC Scopus subject areas

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