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arXiv · 1809.02015

Error estimation of a discontinuous Galerkin method for time fractional subdiffusion problems with nonsmooth data

Binjie Li·Hao Luo·Xiaoping Xie
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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.

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Binjie Li, Hao Luo, Xiaoping Xie. 2022-02-19. Error estimation of a discontinuous Galerkin method for time fractional subdiffusion problems with nonsmooth data. https://arxiv.org/abs/1809.02015

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