# 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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