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Decoupled and Unconditionally Energy Stable Finite Element Schemes for Electrohydrodynamic Model with Variable Density

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Abstract

In this paper, we construct two new linear, decoupled, unconditionally energy stable finite element schemes for electrohydrodynamic model of charge transport with variable density dielectric fluid. The fully-decoupled schemes are achieved by the property of two nonlocal auxiliary variables and applying the operator Strang-splitting method. At each time step, all variables can be computed independently by solving a sequence of linear finite element schemes and algebraic equations. The solvability and unconditionally energy stability of the two schemes are rigorously demonstrated. Numerical experiments verify the effectiveness and stability of the proposed schemes.

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Authors and Affiliations

  1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China

    Yuyu He & Hongtao Chen

  2. Fujian Provincial Key Laboratory of Mathematical Modeling and High-Performance Scientific Computing, Xiamen University, Xiamen, 361005, China

    Hongtao Chen

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  1. Yuyu He
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This paper is supported by National Key R &D Program of China (No. 2022YFA1004500), Natural Science Foundation of Fujian Province of China (No. 2021J01034) and Fundamental Research Funds for the Central Universities (No. 20720220038).

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He, Y., Chen, H. Decoupled and Unconditionally Energy Stable Finite Element Schemes for Electrohydrodynamic Model with Variable Density. J Sci Comput 96, 78 (2023). https://doi.org/10.1007/s10915-023-02304-4

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