Energy-stable mixed finite element methods for a ferrofluid flow model
نویسندگان
چکیده
In this paper, we develop a class of mixed finite element methods for the ferrofluid flow model proposed by Shliomis (1972). We show that energy stability weak solutions to is preserved exactly both semi-discrete and fully discrete solutions. Furthermore, prove existence uniqueness derive optimal error estimates schemes. Numerical experiments confirm theoretical results.
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ژورنال
عنوان ژورنال: Communications in Nonlinear Science and Numerical Simulation
سال: 2023
ISSN: ['1878-7274', '1007-5704']
DOI: https://doi.org/10.1016/j.cnsns.2023.107330