Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media
Type
ArticleAuthors
Kou, Jisheng
Sun, Shuyu

KAUST Department
Computational Transport Phenomena LabEarth Science and Engineering Program
Environmental Science and Engineering Program
Physical Science and Engineering (PSE) Division
Date
2013-06-20Online Publication Date
2013-06-20Print Publication Date
2014-05-15Permanent link to this record
http://hdl.handle.net/10754/562816
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Show full item recordAbstract
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.Citation
Kou, J., & Sun, S. (2013). Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media. Mathematical Methods in the Applied Sciences, 37(7), 962–982. doi:10.1002/mma.2854Sponsors
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.Publisher
WileyDOI
10.1002/mma.2854ae974a485f413a2113503eed53cd6c53
10.1002/mma.2854