• Corpus ID: 240353869

A posteriori error analysis for a space-time parallel discretization of parabolic partial differential equations

@article{Chaudhry2021APE,
  title={A posteriori error analysis for a space-time parallel discretization of parabolic partial differential equations},
  author={Jehanzeb Hameed Chaudhry and Donald J. Estep and Simon Tavener},
  journal={ArXiv},
  year={2021},
  volume={abs/2111.00606}
}
We construct a space-time parallel method for solving parabolic partial differential equations by coupling the Parareal algorithm in time with overlapping domain decomposition in space. Reformulating the original Parareal algorithm as a variational method and implementing a finite element discretization in space enables an adjoint-based a posteriori error analysis to be performed. Through an appropriate choice of adjoint problems and residuals the error analysis distinguishes between errors… 

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