This paper is devoted to the numerical analysis of a piecewise constant discontinuous Galerkin method for time fractional subdiffusion problems. The regularity of weak solution is firstly established by using variational approach and Mittag-Leffler function. Then several optimal error estimates are derived with low regularity data. Finally, numerical experiments are conducted to verify the theoretical results.

翻译：本文用于分析对时间分数分解子扩散问题的片段常态加勒金方法的数值分析。 微弱溶液的规律性首先通过使用变式法和 Mittag- Leffler 函数来确定。 然后用低常度数据得出若干最佳误差估计。 最后, 进行了数字实验, 以核实理论结果 。