WIAS Preprint No. 1096, (2006)

Fractional-splitting and domain-decomposition methods for parabolic problems and applications


  • Daoud, Daoud
  • Geiser, Jürgen

2010 Mathematics Subject Classification

  • 80A20 80M25 74S10 76R50 35J60 35J65 65M99 65Z05

2008 Physics and Astronomy Classification Scheme

  • 02.60.Cb 44.05.+e


  • Numerical simulation, operator-splitting methods, domain-decomposition, parabolic partial differential equations, convergence analysis, error analysis


In this paper we consider the first order fractional splitting method to solve decomposed complex equations with multi-physical processes for applications in porous media and phase-transitions. The first order fractional splitting method is also considered as basic solution for the overlapping Schwarz-Waveform-Relaxation method for an overlapped subdomains. The accuracy and the efficiency of the methods are investigated through the solution of different model problems of scalar, coupling and decoupling systems of convection reaction diffusion equation.

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