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Schwarz methods for discrete elliptic and parabolic problems with an application to nuclear waste repository modelling

Author

Listed:
  • Blaheta, R.
  • Kohut, R.
  • Neytcheva, M.
  • Starý, J.

Abstract

The paper is devoted to the numerical solution of both elliptic and parabolic problems by overlapping Schwarz methods. It demonstrates that while the two-level Schwarz method is necessary for the efficient solution of discrete elliptic problems, the one-level Schwarz method can be sufficiently efficient in the parabolic case. The paper includes results from numerical simulations of a large-scale model of the performance of a nuclear waste repository.

Suggested Citation

  • Blaheta, R. & Kohut, R. & Neytcheva, M. & Starý, J., 2007. "Schwarz methods for discrete elliptic and parabolic problems with an application to nuclear waste repository modelling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(1), pages 18-27.
    • Handle: RePEc:eee:matcom:v:76:y:2007:i:1:p:18-27
    DOI: 10.1016/j.matcom.2007.01.028
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