Second-order modified characteristics FEMs for the time-dependent thermally coupled incompressible MHD equations

被引：0

作者：

Si, Zhiyong ^{[1
]}

Lu, Jingyun ^{[2
]}

Wang, Yunxia ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Peoples R China

[2] Zhengzhou Business Univ, Gen Educ Ctr, Gongyi 451200, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2025年 / 142卷

关键词：

Thermally coupled incompressible MHD; Modified characteristics finite element method; Second-order scheme; Unconditional stability; FINITE-ELEMENT-METHOD; CHARACTERISTICS-MIXED FEMS; UNCONDITIONAL STABILITY; ERROR ANALYSIS; SCHEME; FLOW;

D O I：

10.1016/j.cnsns.2024.108524

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive a second order characteristics finite element method for the time- dependent thermally coupled incompressible MHD equations. By using the temporal-spatial error splitting method, we present optimal error estimates for the second order characteristics finite element method unconditionally. The analysis is based on an iterated characteristic time- discrete system, with which the error function is split into a temporal error and a spatial error. Some numerical experimental results are given, which are consistent with the theoretical analysis in this paper.

引用

页数：27

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