Unconditional stability and optimal error estimates of first order semi-implicit stabilized finite element method for two phase magnetohydrodynamic diffuse interface model

被引：13
|
作者：
Chen, Chuanjun [1 ]
Zhang, Tong [1 ]
机构：
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 429卷
基金：
中国国家自然科学基金;
关键词：
Two phase MHD flows; Unconditional stability; Stabilized method; Error estimates; PHASE-FIELD MODEL; NAVIER-STOKES EQUATIONS; ENERGY STABLE SCHEMES; SAV-MAC SCHEME; CAHN-HILLIARD; INCOMPRESSIBLE FLUIDS; LEVEL-SET; APPROXIMATION; FLOWS; 2ND-ORDER;
D O I：
10.1016/j.amc.2022.127238
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to present the rigorous unconditional stability and optimal error estimates of first order semi-implicit energy stable finite element method developed by Yang et al. (Comput. Methods Appl. Mech. Engrg. 356 (2019) 435-464) for the two phase magnetohydrodynamic(MHD) flows, some numerical results are also provided to show the performances of the considered numerical scheme. (C) 2022 Elsevier Inc. All rights reserved.
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页数：22
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