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

Handle URI:
http://hdl.handle.net/10754/562816
Title:
Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media
Authors:
Kou, Jisheng; Sun, Shuyu ( 0000-0002-3078-864X )
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.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program
Publisher:
Wiley-Blackwell
Journal:
Mathematical Methods in the Applied Sciences
Issue Date:
20-Jun-2013
DOI:
10.1002/mma.2854
Type:
Article
ISSN:
01704214
Sponsors:
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.
Appears in Collections:
Articles; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Computational Transport Phenomena Lab

Full metadata record

DC FieldValue Language
dc.contributor.authorKou, Jishengen
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2015-08-03T11:11:22Zen
dc.date.available2015-08-03T11:11:22Zen
dc.date.issued2013-06-20en
dc.identifier.issn01704214en
dc.identifier.doi10.1002/mma.2854en
dc.identifier.urihttp://hdl.handle.net/10754/562816en
dc.description.abstractWe 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.en
dc.description.sponsorshipThis 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.en
dc.publisherWiley-Blackwellen
dc.subjectdiscontinuous Galerkin methoden
dc.subjecterror estimateen
dc.subjectexistence and uniquenessen
dc.subjectmixed finite element methoden
dc.subjecttwo-phase flowen
dc.titleAnalysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous mediaen
dc.typeArticleen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.identifier.journalMathematical Methods in the Applied Sciencesen
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432100, Hubei, Chinaen
kaust.authorSun, Shuyuen
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