Numerische Mathematik

, Volume 60, Issue 1, pp 41–61

Additive Schwarz algorithms for parabolic convection-diffusion equations

  • Xiao-Chuan Cai

DOI: 10.1007/BF01385713

Cite this article as:
Cai, XC. Numer. Math. (1991) 60: 41. doi:10.1007/BF01385713


In this paper, we consider the solution of linear systems of algebraic equations that arise from parabolic finite element problems. We introduce three additive Schwarz type domain decomposition methods for general, not necessarily selfadjoint, linear, second order, parabolic partial differential equations and also study the convergence rates of these algorithms. The resulting preconditioned linear system of equations is solved by the generalized minimal residual method. Numerical results are also reported.

Mathematics Subject Classification (1991)

65N30 65F10 

Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Xiao-Chuan Cai
    • 1
  1. 1.Department of MathematicsUniversity of KentuckyLexingtonUSA

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