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- W4313191720 abstract "In this paper, we propose a fully decoupled and linear scheme for the magnetohydrodynamic (MHD) equation with the backward differential formulation (BDF) and finite element method (FEM). To solve the system, we adopt a technique based on the “zero-energy-contribution” contribution, which separates the magnetic and fluid fields from the coupled system. Additionally, making use of the pressure projection methods, the pressure variable appears explicitly in the velocity field equation, and would be computed in the form of a Poisson equation. Therefore, the total system is divided into several smaller sub-systems that could be simulated at a significantly low cost. We prove the unconditional energy stability, unique solvability and optimal error estimates for the proposed scheme, and present numerical results to verify the accuracy, efficiency and stability of the scheme." @default.
- W4313191720 created "2023-01-06" @default.
- W4313191720 creator A5086155819 @default.
- W4313191720 creator A5090539201 @default.
- W4313191720 date "2022-01-01" @default.
- W4313191720 modified "2023-10-18" @default.
- W4313191720 title "Convergence Analysis of the Fully Decoupled Linear Scheme for Magnetohydrodynamic Equations" @default.
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- W4313191720 doi "https://doi.org/10.4236/jamp.2022.1011228" @default.
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