Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations

Ying Liu, Zhen Guan, Yufeng Nie

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4 引用 (Scopus)

摘要

In this paper, we consider the unconditionally optimal error estimates of the linearized backward Euler scheme with the weak Galerkin finite element method for semilinear parabolic equations. With the error splitting technique and elliptic projection, the optimal error estimates in L2-norm and the discrete H1-norm are derived without any restriction on the time stepsize. Numerical results on both polygonal and tetrahedral meshes are provided to illustrate our theoretical conclusions.

源语言英语
文章编号47
期刊Advances in Computational Mathematics
48
4
DOI
出版状态已出版 - 8月 2022

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