@article{cc879834e2d5485896ddea206a2c0695,
title = "Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations",
abstract = "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.",
keywords = "Elliptic projection, Linearized backward Euler scheme, Semilinear parabolic equations, Unconditionally optimal error estimates, Weak Galerkin finite element method",
author = "Ying Liu and Zhen Guan and Yufeng Nie",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2022",
month = aug,
doi = "10.1007/s10444-022-09961-3",
language = "英语",
volume = "48",
journal = "Advances in Computational Mathematics",
issn = "1019-7168",
publisher = "Springer Netherlands",
number = "4",
}