Splitting Scheme for Poroelasticity and Thermoelasticity Problems

  • Alexandr E. KolesovEmail author
  • Petr N. Vabishchevich
  • Maria V. Vasilyeva
  • Victor F. Gornov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9045)


We consider an unconditionally stable splitting scheme for solving coupled systems of equations arising in poroelasticity and thermoelasticity problems. The scheme is based on splitting the systems of equation into physical processes, which means the transition to the new time level is associated with solving separate sub-problems for displacement and pressure/temperature. The stability of the scheme is achieved by switching to three-level finite-difference scheme with weight. We present stability estimates of the scheme based on Samarskii’s theory of stability for operator-difference schemes. We provide numerical experiments supporting the stability estimates of the splitting scheme.


Time Level Implicit Scheme Finite Element Discretization Split Scheme Thermoelasticity Problem 
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.



This work is supported by CJSC OptoGan (contract N02.G25.31.0090); RFBR (project N13-01-00719A); The Ministry of Education and Science of Russian Federation (contract RFMEFI5791X0026).


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Alexandr E. Kolesov
    • 1
    Email author
  • Petr N. Vabishchevich
    • 1
    • 2
  • Maria V. Vasilyeva
    • 1
  • Victor F. Gornov
    • 3
  1. 1.North-Eastern Federal UniversityYakutskRussia
  2. 2.Nuclear Safety Institute, RASMoscowRussia
  3. 3.JSC Insolar-InvestMoscowRussia

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