Error estimation of a discontinuous Galerkin method for time fractional subdiffusion problems with nonsmooth data
Numerical Analysis
2022-02-22 v3 Numerical Analysis
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.
Cite
@article{arxiv.1809.02015,
title = {Error estimation of a discontinuous Galerkin method for time fractional subdiffusion problems with nonsmooth data},
author = {Binjie Li and Hao Luo and Xiaoping Xie},
journal= {arXiv preprint arXiv:1809.02015},
year = {2022}
}