LOCAL VELOCITY POSTPROCESSING FOR MULTIPOINT FLUX METHODS ON GENERAL HEXAHEDRA

Mary Wheeler; Guangri Xue; Ivan Yotov

LOCAL VELOCITY POSTPROCESSING FOR MULTIPOINT FLUX METHODS ON GENERAL HEXAHEDRA

Mary Wheeler, Guangri Xue, Ivan Yotov

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

Abstract

The authors formulated in [32] a multipoint flux mixed finite element method that reduces to a cell-centered pressure system on general quadrilaterals and hexahedra for elliptic equations arising in subsurface flow problems. In addition they showed that a special quadrature rule yields O(h) convergence for face fluxes on distorted hexahedra. Here a first order local velocity postprocessing procedure using these face fluxes is developed and analyzed. The algorithm involves solving a 3 x 3 system on each element and utilizes an enhanced mixed finite element space introduced by Falk, Gatto, and Monk [18]. Computational results verifying the theory are demonstrated.

Original language	English (US)
Pages (from-to)	607-627
Number of pages	21
Journal	International Journal of Numerical Analysis and Modeling
Volume	9
Issue number	3
State	Published - 2012
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2021-09-17
Acknowledged KAUST grant number(s): KUS-F1-032-04
Acknowledgements: King Abdullah University of Science & Technology
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

ASJC Scopus subject areas

Numerical Analysis

Cite this

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title = "LOCAL VELOCITY POSTPROCESSING FOR MULTIPOINT FLUX METHODS ON GENERAL HEXAHEDRA",

abstract = "The authors formulated in [32] a multipoint flux mixed finite element method that reduces to a cell-centered pressure system on general quadrilaterals and hexahedra for elliptic equations arising in subsurface flow problems. In addition they showed that a special quadrature rule yields O(h) convergence for face fluxes on distorted hexahedra. Here a first order local velocity postprocessing procedure using these face fluxes is developed and analyzed. The algorithm involves solving a 3 x 3 system on each element and utilizes an enhanced mixed finite element space introduced by Falk, Gatto, and Monk [18]. Computational results verifying the theory are demonstrated.",

author = "Mary Wheeler and Guangri Xue and Ivan Yotov",

note = "KAUST Repository Item: Exported on 2021-09-17 Acknowledged KAUST grant number(s): KUS-F1-032-04 Acknowledgements: King Abdullah University of Science & Technology This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2012",

language = "English (US)",

volume = "9",

pages = "607--627",

journal = "International Journal of Numerical Analysis and Modeling",

issn = "1705-5105",

publisher = "University of Alberta",

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TY - JOUR

T1 - LOCAL VELOCITY POSTPROCESSING FOR MULTIPOINT FLUX METHODS ON GENERAL HEXAHEDRA

AU - Wheeler, Mary

AU - Xue, Guangri

AU - Yotov, Ivan

N1 - KAUST Repository Item: Exported on 2021-09-17 Acknowledged KAUST grant number(s): KUS-F1-032-04 Acknowledgements: King Abdullah University of Science & Technology This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2012

Y1 - 2012

N2 - The authors formulated in [32] a multipoint flux mixed finite element method that reduces to a cell-centered pressure system on general quadrilaterals and hexahedra for elliptic equations arising in subsurface flow problems. In addition they showed that a special quadrature rule yields O(h) convergence for face fluxes on distorted hexahedra. Here a first order local velocity postprocessing procedure using these face fluxes is developed and analyzed. The algorithm involves solving a 3 x 3 system on each element and utilizes an enhanced mixed finite element space introduced by Falk, Gatto, and Monk [18]. Computational results verifying the theory are demonstrated.

AB - The authors formulated in [32] a multipoint flux mixed finite element method that reduces to a cell-centered pressure system on general quadrilaterals and hexahedra for elliptic equations arising in subsurface flow problems. In addition they showed that a special quadrature rule yields O(h) convergence for face fluxes on distorted hexahedra. Here a first order local velocity postprocessing procedure using these face fluxes is developed and analyzed. The algorithm involves solving a 3 x 3 system on each element and utilizes an enhanced mixed finite element space introduced by Falk, Gatto, and Monk [18]. Computational results verifying the theory are demonstrated.

UR - http://hdl.handle.net/10754/671276

M3 - Article

SN - 1705-5105

VL - 9

SP - 607

EP - 627

JO - International Journal of Numerical Analysis and Modeling

JF - International Journal of Numerical Analysis and Modeling

IS - 3

ER -

LOCAL VELOCITY POSTPROCESSING FOR MULTIPOINT FLUX METHODS ON GENERAL HEXAHEDRA

Abstract

Bibliographical note

ASJC Scopus subject areas

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