Semi-discrete and fully discrete HDG methods for Burgers' equation

@article{Zhu2021SemidiscreteAF,
  title={Semi-discrete and fully discrete HDG methods for Burgers' equation},
  author={Zimo Zhu and Gang Chen and Xiaoping Xie},
  journal={ArXiv},
  year={2021},
  volume={abs/2102.00613}
}
This paper proposes semi-discrete and fully discrete hybridizable discontinuous Galerkin (HDG) methods for the Burgers’ equation in two and three dimensions. In the spatial discretization, we use piecewise polynomials of degrees k (k ≥ 1), k− 1 and l (l = k− 1; k) to approximate the scalar function, flux variable and the interface trace of scalar function, respectively. In the full discretization method, we apply a backward Euler scheme for the temporal discretization. Optimal a priori error… 

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