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Error estimation of a discontinuous Galerkin method for time fractional subdiffusion problems with nonsmooth data (1809.02015v3)
Published 6 Sep 2018 in math.NA and cs.NA
Abstract: 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.