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 journalArticlepeer-review

10 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 languageEnglish (US)
Pages (from-to)962-982
Number of pages21
JournalMathematical Methods in the Applied Sciences
Volume37
Issue number7
DOIs
StatePublished - Jun 20 2013

ASJC Scopus subject areas

  • Engineering(all)
  • Mathematics(all)

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