SUPERCLOSE ANALYSIS OF H1-GALERKIN MIXED FINITE ELEMENT METHODS COMBINED WITH TWO-GRID SCHEME FOR SEMILINEAR PARABOLIC EQUATIONS

被引：0
|
作者：
Zhou, Liping [1 ]
Wei, Meina [2 ]
机构：
[1] Hunan Univ Sci & Engn, Coll Sci, Yongzhou 425199, Hunan, Peoples R China
[2] Beihua Univ, Sch Math & Stat, Jilin 132013, Jilin, Peoples R China
来源：
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2023年 / 2023卷
关键词：
Crank-Nicolson scheme; Mixed finite element; Semilinear parabolic equations; Superclose; Two-grid; CRANK-NICOLSON SCHEME;
D O I：
10.23952/jnfa.2023.3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a two-grid scheme for semilinear parabolic equations discretized by H1- Galerkin mixed finite element method combined with Crank-Nicolson scheme. Based on the interpolation and duality argument technique, we discuss superclose properties for two-grid method and H1-Galerkin mixed finite element method. The interpolation theory plays an important role in convergence analysis. Theoretical results demonstrate that the two methods have the same convergence order by choosing h = H2. Finally, a numerical example is given to verify the theoretical results.
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页数：13
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