High Order ADER Schemes for Continuum Mechanics

@inproceedings{Busto2020HighOA,
  title={High Order ADER Schemes for Continuum Mechanics},
  author={S. Busto and Simone Chiocchetti and Michael Dumbser and Elena Gaburro and Ilya Peshkov},
  booktitle={Frontiers in Physics},
  year={2020}
}
  • S. Busto, Simone Chiocchetti, +2 authors Ilya Peshkov
  • Published in Frontiers in Physics 2020
  • Mathematics, Physics, Computer Science
  • In this paper we first review the development of high order ADER finite volume and ADER discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in 1999 by Toro et al. We show the modern variant of ADER based on a space-time predictor-corrector formulation in the context of ADER discontinuous Galerkin schemes with a posteriori subcell finite volume limiter on fixed and moving grids, as well as on space-time adaptive Cartesian AMR meshes. We then present and discuss… CONTINUE READING

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