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

2018/09/06 by Binjie Li, Hao Luo, Li, Binjie +3
Engineering · Mathematics · #Differential Equations and Numerical Methods #FOS: Mathematics #Fractional Differential Equations Solutions #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.1809.02015

openalex publication_date 2018/09/06 · openalex created_date 2022/08/15 · openalex updated_date 2026/07/28

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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