Computational Geosciences

, Volume 18, Issue 1, pp 57–75

Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity

ORIGINAL PAPER

DOI: 10.1007/s10596-013-9382-y

Cite this article as:
Wheeler, M., Xue, G. & Yotov, I. Comput Geosci (2014) 18: 57. doi:10.1007/s10596-013-9382-y

Abstract

We study the numerical approximation on irregular domains with general grids of the system of poroelasticity, which describes fluid flow in deformable porous media. The flow equation is discretized by a multipoint flux mixed finite element method and the displacements are approximated by a continuous Galerkin finite element method. First-order convergence in space and time is established in appropriate norms for the pressure, velocity, and displacement. Numerical results are presented that illustrate the behavior of the method.

Keywords

Poroelasticity Geomechanics Multipoint flux mixed finite element Continuous Galerkin Finite volume method 

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Institute for Computational Engineering and SciencesThe University of Texas at AustinAustinUSA
  2. 2.Shell Technology Center HoustonShell International Exploration and Production Co.HoustonUSA
  3. 3.Department of MathematicsUniversity of PittsburghPittsburghUSA

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