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.
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页数：27
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