Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media
KAUST DepartmentComputational Transport Phenomena Lab
Physical Sciences and Engineering (PSE) Division
Environmental Science and Engineering Program
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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.
SponsorsThis 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.