A Priori Error Estimates of P02-P1 Mixed Finite Element Methods for a Class of Nonlinear Parabolic Equations

被引：0

作者：

Liu, Ch ^{[1
]}

Hou, T. ^{[2
]}

Weng, Zh ^{[3
]}

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

[3] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Fujian, Peoples R China

来源：

NUMERICAL ANALYSIS AND APPLICATIONS | 2021年 / 14卷 / 04期

基金：

中国国家自然科学基金;

关键词：

nonlinear parabolic equations; P-0(2)-P-1 mixed finite element method; a priori error estimates; square integrable space; APPROXIMATION; SCHEME;

D O I：

10.1134/S1995423921040054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider P-0(2)-P-1 mixed finite element approximations of a class of nonlinear parabolic equations. The backward Euler scheme for temporal discretization is used. Firstly, the new mixed projection is defined and the related a priori error estimates are proved. Secondly, the optimal a priori error estimates for the pressure variable and the velocity variable are derived. Finally, a numerical example is presented to verify the theoretical results.

引用

页码：357 / 371

页数：15

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