Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media

Jisheng Kou; Shuyu Sun

doi:10.1002/mma.2854

Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media

Jisheng Kou, Shuyu Sun

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

15 Scopus citations

Abstract

We analyze a combined method consisting of the mixed finite element method for pressure equation and the discontinuous Galerkin method for saturation equation for the coupled system of incompressible two-phase flow in porous media. The existence and uniqueness of numerical solutions are established under proper conditions by using a constructive approach. Optimal error estimates in L2(H1) for saturation and in L∞(H(div)) for velocity are derived. Copyright © 2013 John Wiley & Sons, Ltd.

Original language	English (US)
Pages (from-to)	962-982
Number of pages	21
Journal	Mathematical Methods in the Applied Sciences
Volume	37
Issue number	7
DOIs	https://doi.org/10.1002/mma.2854
State	Published - Jun 20 2013

ASJC Scopus subject areas

General Engineering
General Mathematics

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title = "Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media",

abstract = "We analyze a combined method consisting of the mixed finite element method for pressure equation and the discontinuous Galerkin method for saturation equation for the coupled system of incompressible two-phase flow in porous media. The existence and uniqueness of numerical solutions are established under proper conditions by using a constructive approach. Optimal error estimates in L2(H1) for saturation and in L∞(H(div)) for velocity are derived. Copyright {\textcopyright} 2013 John Wiley & Sons, Ltd.",

author = "Jisheng Kou and Shuyu Sun",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work is supported by the Key Project of Chinese Ministry of Education (No. 212109) and the Scientific and Technical Research Project of Hubei Provincial Department of Education (No. D20132701). The authors also cheerfully appreciate the generous support of the university research fund to the Computational Transport Phenomena Laboratory at KAUST.",

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AU - Sun, Shuyu

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N2 - We analyze a combined method consisting of the mixed finite element method for pressure equation and the discontinuous Galerkin method for saturation equation for the coupled system of incompressible two-phase flow in porous media. The existence and uniqueness of numerical solutions are established under proper conditions by using a constructive approach. Optimal error estimates in L2(H1) for saturation and in L∞(H(div)) for velocity are derived. Copyright © 2013 John Wiley & Sons, Ltd.

AB - We analyze a combined method consisting of the mixed finite element method for pressure equation and the discontinuous Galerkin method for saturation equation for the coupled system of incompressible two-phase flow in porous media. The existence and uniqueness of numerical solutions are established under proper conditions by using a constructive approach. Optimal error estimates in L2(H1) for saturation and in L∞(H(div)) for velocity are derived. Copyright © 2013 John Wiley & Sons, Ltd.

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

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Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media

Abstract

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