Fully discrete mixed finite element approximations for non-Darcy flows in porous media

M. Y. Kim; Eun-Jae Park

doi:10.1016/S0898-1221(99)00291-6

Fully discrete mixed finite element approximations for non-Darcy flows in porous media

M. Y. Kim, Eun-Jae Park

Department of Computational Science and Engineering

Research output: Contribution to journal › Article

17 Citations (Scopus)

Abstract

A numerical approximation procedure is proposed to solve equations describing non-Darcy flow of a single-phase fluid in a porous medium in two or three spacial dimensions, including the generalized Forchheimer equation. Fully discrete mixed finite element methods are considered and analyzed for the approximation. Existence and uniqueness of the approximation are discussed and optimal order error estimates in L² are derived for the three relevant functions.

Original language	English
Pages (from-to)	113-129
Number of pages	17
Journal	Computers and Mathematics with Applications
Volume	38
Issue number	11
DOIs	https://doi.org/10.1016/S0898-1221(99)00291-6
Publication status	Published - 1999 Jan 1

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All Science Journal Classification (ASJC) codes

Modelling and Simulation
Computational Theory and Mathematics
Computational Mathematics

Cite this

Kim, M. Y., & Park, E-J. (1999). Fully discrete mixed finite element approximations for non-Darcy flows in porous media. Computers and Mathematics with Applications, 38(11), 113-129. https://doi.org/10.1016/S0898-1221(99)00291-6

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10.1016/S0898-1221(99)00291-6