A symmetric mixed covolume method for the nonlinear parabolic problem

被引：0

作者：

Zhao, Xuan ^{[1
]}

Liu, Zhengguang ^{[2
,3
,4
]}

机构：

[1] Shandong Univ, Sch Math, Jinan, Peoples R China

[2] Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan, Peoples R China

[3] Sch Math & Computat Sci, Xiangtan, Peoples R China

[4] Shandong Normal Univ, Sch Math & Stat, Jinan, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2022年 / 68卷 / 03期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Symmetric mixed covolume method; Rectangular grids; Existence and uniqueness; Nonlinear parabolic problem; Error estimates; ELEMENT METHODS; SUPERCONVERGENCE; EQUATION; GRIDS;

D O I：

10.1007/s12190-021-01582-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop a symmetric mixed covolume scheme for the nonlinear parabolic equations. The existence and uniqueness of the scheme are proved by using the lowest order Raviart-Thomas mixed element space on rectangular grids. We carry out a rigorous error estimates for the constructed scheme, establishing the first-order convergence for both velocity and pressure. Numerical examples are provided to verify that the numerical results are all in consistent with the theoretical analysis.

引用

页码：1591 / 1611

页数：21

共 29 条

[21] Superconvergence of mixed covolume method on quadrilateral grids for elliptic problems [J].