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 | |
| 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
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Fully discrete mixed finite element approximations for non-Darcy flows in porous media. / Kim, M. Y.; Park, Eun-Jae.
In: Computers and Mathematics with Applications, Vol. 38, No. 11, 01.01.1999, p. 113-129.Research output: Contribution to journal › Article
TY - JOUR
T1 - Fully discrete mixed finite element approximations for non-Darcy flows in porous media
AU - Kim, M. Y.
AU - Park, Eun-Jae
PY - 1999/1/1
Y1 - 1999/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0345072574&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0345072574&partnerID=8YFLogxK
U2 - 10.1016/S0898-1221(99)00291-6
DO - 10.1016/S0898-1221(99)00291-6
M3 - Article
VL - 38
SP - 113
EP - 129
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
SN - 0898-1221
IS - 11
ER -