Space-time adaptive linearly implicit peer methods for parabolic problems

@article{Schrder2017SpacetimeAL,
  title={Space-time adaptive linearly implicit peer methods for parabolic problems},
  author={Dirk Schr{\"o}der and Alf Gerisch and Jens Lang},
  journal={J. Computational Applied Mathematics},
  year={2017},
  volume={316},
  pages={330-344}
}
In this paper a linearly implicit peer method is combined with a multilevel finite element method for the discretization of parabolic partial differential equations. Following the Rothe method it is first discretized in time and then in space. A spatial error estimator based on the hierarchical basis approach is derived. It is shown to be a reliable and efficient estimator up to some small perturbations. The efficiency index of the estimator is shown to be close to the ideal value one for two… CONTINUE READING

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