A Multiscale Domain Decomposition Method for Flow and Transport Problems

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 104)

Abstract

It has been widely recognized that one of the major challenges in the simulation of flow and transport problems is finding the numerical solution of the pressure equation [2].

References

  1. 1.
    L. Bush, V. Ginting, On the application of the continuous Galerkin finite element method for conservation problems. SIAM J. Sci. Comput. 35(6), A2953–A2975 (2013)MathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    Z. Chen, G. Huan, Y. Ma, Computational Methods for Multiphase Flows in Porous Media. Computational Science & Engineering (Society for Industrial and Applied Mathematics (SIAM), Philadelphia, 2006)Google Scholar
  3. 3.
    W. Chen, M. Gunzburger, F. Hua, X. Wang, A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. SIAM J. Numer. Anal. 49(3), 1064–1084 (2011)MathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    J. Douglas Jr., P.J. Paes-Leme, J.E. Roberts, J.P. Wang, A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods. Numer. Math. 65(1), 95–108 (1993)MathSciNetCrossRefMATHGoogle Scholar
  5. 5.
    A. Quarteroni, A. Valli, Domain Decomposition Methods for Partial Differential Equations. Numerical Mathematics and Scientific Computation (The Clarendon Press/Oxford University Press/Oxford Science Publications, New York, 1999)MATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of WyomingLaramieUSA

Personalised recommendations