Error estimates of time discretizations for a Cahn-Hilliard phase-field model for the two-phase magnetohydrodynamic flows

被引：0
|
作者：
Shen, Xiaojuan [1 ]
Cai, Yongyong [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
来源：
APPLIED NUMERICAL MATHEMATICS | 2025年 / 207卷
关键词：
Two-phase magnetohydrodynamic flows; Stabilized scheme; Convex splitting method; Stability; Convergence analysis; FINITE-ELEMENT-METHOD; CONVERGENCE ANALYSIS; 2ND-ORDER; SCHEME; APPROXIMATION; EQUATIONS;
D O I：
10.1016/j.apnum.2024.09.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a rigorous error analysis for two weakly decoupled, unconditionally energy stable schemes in the semi-discrete-in-time form. The methods consist of a stabilized/convexsplitting method for the phase field equations and a projection correction method for the MHD model. Several numerical simulations demonstrate the validity of theoretical results.
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页码：585 / 607
页数：23
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