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Unconditional stability and optimal error estimates of first order semi-implicit stabilized finite element method for two phase magnetohydrodynamic diffuse interface model

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  • Chen, Chuanjun
  • Zhang, Tong

Abstract

This paper is devoted to present the rigorous unconditional stability and optimal error estimates of first order semi-implicit energy stable finite element method developed by Yang et al. (Comput. Methods Appl. Mech. Engrg. 356 (2019) 435–464) for the two phase magnetohydrodynamic(MHD) flows, some numerical results are also provided to show the performances of the considered numerical scheme.

Suggested Citation

  • Chen, Chuanjun & Zhang, Tong, 2022. "Unconditional stability and optimal error estimates of first order semi-implicit stabilized finite element method for two phase magnetohydrodynamic diffuse interface model," Applied Mathematics and Computation, Elsevier, vol. 429(C).
    • Handle: RePEc:eee:apmaco:v:429:y:2022:i:c:s0096300322003125
    DOI: 10.1016/j.amc.2022.127238
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    Cited by:

    1. Wang, Xiaorong & Zhang, Xiaodi, 2024. "Decoupled, linear, unconditionally energy stable and charge-conservative finite element method for an inductionless magnetohydrodynamic phase-field model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 607-627.

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