A nonlinear free boundary value problem Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/ws859j03p

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  • 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 present an existence and uniqueness theorem along with an error estimate for a linear retention function. Finally, numerical algorithms for finding approximate solutions for linear and quadratic retention functions are suggested and the results of numerical calculations are given.
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