• Corpus ID: 246016068

Theoretical and Practical Aspects of Space-Time DG-SEM Implementations

@article{Versbach2022TheoreticalAP,
  title={Theoretical and Practical Aspects of Space-Time DG-SEM Implementations},
  author={Lea M. Versbach and Viktor Linders and Robert Kl{\"o}fkorn and Philipp Birken},
  journal={ArXiv},
  year={2022},
  volume={abs/2201.05800}
}
In this paper we discuss two approaches for the formulation and implementation of space-time discontinuous Galerkin spectral element methods (DG-SEM). In one, time is treated as an additional coordinate direction and a Galerkin procedure is applied to the entire problem. In the other, the method of lines is used with DG-SEM in space and the fully implicit Runge-Kutta method Lobatto IIIC in time. The two approaches are mathematically equivalent in the sense that they lead to the same discrete… 

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