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

M. Y. Kim, Eun-Jae Park

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)113-129
Number of pages17
JournalComputers and Mathematics with Applications
Volume38
Issue number11
DOIs
Publication statusPublished - 1999 Jan 1

Fingerprint

Flow in Porous Media
Mixed Finite Elements
Finite Element Approximation
Porous materials
Finite element method
Fluids
Mixed Finite Element Method
Approximation
Numerical Approximation
Generalized Equation
Porous Media
Three-dimension
Error Estimates
Existence and Uniqueness
Fluid

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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 Eun-Jae Park",
year = "1999",
month = "1",
day = "1",
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",

}

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 journalArticle

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 -