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- W4320737352 abstract "Mixed finite element methods are considered for a ferrofluid flow model with magnetization paralleled to the magnetic field. The ferrofluid model is a coupled system of the Maxwell equations and the incompressible Navier-Stokes equations. By skillfully introducing some new variables, the model is rewritten as several decoupled subsystems that can be solved independently. Mixed finite element formulations are given to discretize the decoupled systems with proper finite element spaces. Existence and uniqueness of the mixed finite element solutions are shown, and optimal order error estimates are obtained under some reasonable assumptions. Numerical experiments confirm the theoretical results." @default.
- W4320737352 created "2023-02-15" @default.
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- W4320737352 date "2022-08-09" @default.
- W4320737352 modified "2023-09-29" @default.
- W4320737352 title "Mixed finite element methods for the ferrofluid model with magnetization paralleled to the magnetic field" @default.
- W4320737352 doi "https://doi.org/10.48550/arxiv.2208.05118" @default.
- W4320737352 hasPublicationYear "2022" @default.
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