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.

引用

页码：585 / 607

页数：23

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