Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model-Reference-Cited by-同舟云学术

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Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model

Published:2023-06-01 Issue:3 Volume:45 Page:B253-B282
ISSN:1064-8275
Container-title:SIAM Journal on Scientific Computing
language:en
Short-container-title:SIAM J. Sci. Comput.

Author:

Zhang Guo-dong¹,He Xiaoming²^ORCID,Yang Xiaofeng³

Affiliation:

1. School of Mathematics and Information Sciences, Yantai University, Yantai, 264005, Shandong, People’s Republic of China.

2. Department of Mathematics, Missouri University of Science & Technology, Rolla, MO 65409 USA.

3. Corresponding author. Department of Mathematics, University of South Carolina, Columbia, SC 29208 USA.

Funder

National Science Foundation of China

U.S. National Science Foundation

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Reference67 articles.

1. Ferrofluids and magnetically guided superparamagnetic particles in flows: a review of simulations and modeling

2. Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations

3. Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation

4. The Mathematical Theory of Finite Element Methods

5. Directing Assembly of DNA-Coated Colloids with Magnetic Fields To Generate Rigid, Semiflexible, and Flexible Chains

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second‐order scheme;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2024-04-19

2. A Unified Framework of the SAV-ZEC Method for a Mass-Conserved Allen–Cahn Type Two-Phase Ferrofluid Flow Model;SIAM Journal on Scientific Computing;2024-03-29

3. Phase-field-based finite element model for two-phase ferrofluid flows;Physics of Fluids;2024-02-01

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