| This paper focuses on the adaptive discontinuous Garlerkin (DG) methods for the tempered fractional convection-diffusion equations. The DG schemes with interi-or penalty are used to solve the equations, and the detailed stability and convergence analyses are provided. Based on the derived posteriori error estimates, the local er-ror indicator is designed. The theoretical results and the effectiveness of the adaptive DG methods are respectively verified and displayed by the extensive numerical exper-iments. The strategy of designing adaptive schemes presented in this paper works for the general PDEs with fractional operators. |
