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Recovery of the Interface Velocity for the Incompressible Flow in Enhanced Velocity Mixed Finite Element Method

  • Yerlan AmanbekEmail author
  • Gurpreet Singh
  • Mary F. Wheeler
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11539)

Abstract

The velocity, coupling term in the flow and transport problems, is important in the accurate numerical simulation or in the posteriori error analysis for adaptive mesh refinement. We consider Enhanced Velocity Mixed Finite Element Method (EVMFEM) for the incompressible Darcy flow. In this paper, our aim is to study the improvement of velocity at interface to achieve the better approximation of velocity between subdomains. We propose the reconstruction of velocity at interface by using the post-processed pressure. Numerical results at the interface show improvement on convergence rate.

Keywords

Domain decomposition Enhanced Velocity Velocity improvement 

Notes

Acknowledgments

First author would like to thank Drs. I. Yotov and T. Arbogast for discussions on formulation of the different view of EVMFEM. This research is supported by Faculty Development Competitive Research Grant (Grant No. 110119FD4502), Nazarbayev University.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Yerlan Amanbek
    • 1
    • 2
    Email author
  • Gurpreet Singh
    • 1
  • Mary F. Wheeler
    • 1
  1. 1.Center for Subsurface Modeling, Oden Institute for Computational Engineering and SciencesUniversity of Texas at AustinAustinUSA
  2. 2.Nazarbayev UniversityAstanaKazakhstan

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