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Numerical Solution of Thermoporoelasticity Problems

  • Alexandr E. KolesovEmail author
  • Petr N. Vabishchevich
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10187)

Abstract

We consider the numerical solution of thermoporoelasticity problems. The basic system of equations includes the Lame equation for the displacement and two nonstationary equations for the fluid pressure and temperature. The computational algorithm is based on the finite element approximation in space and the finite difference approximation in time. We construct standard implicit scheme and unconditionally stable splitting schemes with respect to physical processes, when the transition to a new time level is associated with solving separate sub-problems for the desired displacement, pressure, and temperature. The stability of the scheme is achieved by passing to three-level difference scheme and by choosing a weight used as a regularization parameter. We provide the stability condition of the splitting scheme and present numerical experiments supporting this condition.

Keywords

Bilinear Form Coarse Mesh Implicit Scheme Temperature Increment Finite Element Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

This research was supported by RFBR (project N14-01-00785A).

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Alexandr E. Kolesov
    • 1
    • 2
    Email author
  • Petr N. Vabishchevich
    • 1
    • 3
  1. 1.North-Eastern Federal UniversityYakutskRussia
  2. 2.University of North Carolina at CharlotteCharlotteUSA
  3. 3.Nuclear Safety Institute, RASMoscowRussia

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