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A Combined Mixed Finite Element and Discontinuous Galerkin Method for Miscible Displacement Problem in Porous Media

In: Recent Progress in Computational and Applied PDES

Author

Listed:
  • Shuyu Sun

    (The University of Texas, The Center for Subsurface Modeling, Texas Institute of Computational and Applied Mathematics)

  • Béatrice Rivière

    (The University of Texas, The Center for Subsurface Modeling, Texas Institute of Computational and Applied Mathematics)

  • Mary F. Wheeler

    (The University of Texas, The Center for Subsurface Modeling, Texas Institute of Computational and Applied Mathematics)

Abstract

A combined method consisting of the mixed finite element method for flow and the discontinuous Galerkin method for transport is introduced for the coupled system of miscible displacement problem. A “cut-off” operator M is introduced in the discontinuous Galerkin formular in order to make the combined scheme converge. Optimal error estimates in L 2(H 1) for concentration and in L ∞(L 2) for velocity are derived.

Suggested Citation

  • Shuyu Sun & Béatrice Rivière & Mary F. Wheeler, 2002. "A Combined Mixed Finite Element and Discontinuous Galerkin Method for Miscible Displacement Problem in Porous Media," Springer Books, in: Tony F. Chan & Yunqing Huang & Tao Tang & Jinchao Xu & Long-An Ying (ed.), Recent Progress in Computational and Applied PDES, pages 323-351, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-0113-8_23
    DOI: 10.1007/978-1-4615-0113-8_23
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