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.

中文翻译：

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非光滑数据时间分数次扩散问题的不连续 Galerkin 方法的误差估计

本文致力于时间分数次扩散问题的分段常数不连续 Galerkin 方法的数值分析。首先利用变分法和Mittag-Leffler函数建立弱解的正则性。然后用低规律性数据推导出几个最优误差估计。最后通过数值实验验证了理论结果。