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

M. Y. Kim; E. J. 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, E. J. Park

Department of Computational Science and Engineering

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

22 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 Dec

Bibliographical note

Funding Information:
*The research of this author was supported in part by a post-doctoral fellowship from the University of Trento, Italy. ?The research of this author was supported in part by G.N.A.F.A. of C.N.R. (Italy) and KOSEF #97070101013 (Korea).

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Computational Theory and Mathematics
Computational Mathematics

Access to Document

10.1016/S0898-1221(99)00291-6

Cite this

@article{f82fce1eb0b848c0bfdaa492fb0b783f,

title = "Fully discrete mixed finite element approximations for non-Darcy flows in porous media",

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.",

author = "Kim, {M. Y.} and Park, {E. J.}",

note = "Funding Information: *The research of this author was supported in part by a post-doctoral fellowship from the University of Trento, Italy. ?The research of this author was supported in part by G.N.A.F.A. of C.N.R. (Italy) and KOSEF #97070101013 (Korea).",

year = "1999",

month = dec,

doi = "10.1016/S0898-1221(99)00291-6",

language = "English",

volume = "38",

pages = "113--129",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

publisher = "Elsevier Limited",

number = "11",

}

TY - JOUR

T1 - Fully discrete mixed finite element approximations for non-Darcy flows in porous media

AU - Kim, M. Y.

AU - Park, E. J.

N1 - Funding Information: *The research of this author was supported in part by a post-doctoral fellowship from the University of Trento, Italy. ?The research of this author was supported in part by G.N.A.F.A. of C.N.R. (Italy) and KOSEF #97070101013 (Korea).

PY - 1999/12

Y1 - 1999/12

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

AN - SCOPUS:0345072574

VL - 38

SP - 113

EP - 129

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 11

ER -

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

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this