A stabilized mixed finite element method for Darcy flow

Arif Masud; Thomas J.R. Hughes

doi:10.1016/S0045-7825(02)00371-7

A stabilized mixed finite element method for Darcy flow

Arif Masud
, Thomas J.R. Hughes

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

Abstract

We develop new stabilized mixed finite element methods for Darcy flow. Stability and an a priori error estimate in the "stability norm" are established. A wide variety of convergent finite elements present themselves, unlike the classical Galerkin formulation which requires highly specialized elements. An interesting feature of the formulation is that there are no mesh-dependent parameters. Numerical tests confirm the theoretical results.

Original language	English (US)
Pages (from-to)	4341-4370
Number of pages	30
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	191
Issue number	39-40
DOIs	https://doi.org/10.1016/S0045-7825(02)00371-7
State	Published - Aug 30 2002
Externally published	Yes

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/S0045-7825(02)00371-7

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title = "A stabilized mixed finite element method for Darcy flow",

abstract = "We develop new stabilized mixed finite element methods for Darcy flow. Stability and an a priori error estimate in the {"}stability norm{"} are established. A wide variety of convergent finite elements present themselves, unlike the classical Galerkin formulation which requires highly specialized elements. An interesting feature of the formulation is that there are no mesh-dependent parameters. Numerical tests confirm the theoretical results.",

author = "Arif Masud and Hughes, \{Thomas J.R.\}",

note = "The authors wish to thank Georgette Hlepas for type-setting the manuscript. A. Masud was supported by NSF grant NSF-CMS-9813386 and ONR grant N00014-02-1-0143. T.J.R. Hughes was supported by ONR grants N00014-99-1-0122-P00002 and P00003 and NASA grants NCC2-5362-2 and NCC2-5457.",

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doi = "10.1016/S0045-7825(02)00371-7",

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AU - Masud, Arif

AU - Hughes, Thomas J.R.

N1 - The authors wish to thank Georgette Hlepas for type-setting the manuscript. A. Masud was supported by NSF grant NSF-CMS-9813386 and ONR grant N00014-02-1-0143. T.J.R. Hughes was supported by ONR grants N00014-99-1-0122-P00002 and P00003 and NASA grants NCC2-5362-2 and NCC2-5457.

PY - 2002/8/30

Y1 - 2002/8/30

N2 - We develop new stabilized mixed finite element methods for Darcy flow. Stability and an a priori error estimate in the "stability norm" are established. A wide variety of convergent finite elements present themselves, unlike the classical Galerkin formulation which requires highly specialized elements. An interesting feature of the formulation is that there are no mesh-dependent parameters. Numerical tests confirm the theoretical results.

AB - We develop new stabilized mixed finite element methods for Darcy flow. Stability and an a priori error estimate in the "stability norm" are established. A wide variety of convergent finite elements present themselves, unlike the classical Galerkin formulation which requires highly specialized elements. An interesting feature of the formulation is that there are no mesh-dependent parameters. Numerical tests confirm the theoretical results.

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DO - 10.1016/S0045-7825(02)00371-7

M3 - Article

AN - SCOPUS:0037200458

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VL - 191

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EP - 4370

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 39-40

ER -

A stabilized mixed finite element method for Darcy flow

Abstract

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