A fully-discrete virtual element method for the nonstationary Boussinesq equations

@article{Veiga2022AFV,
  title={A fully-discrete virtual element method for the nonstationary Boussinesq equations},
  author={Lourencco Beirao da Veiga and David Mora and Alberth Silgado},
  journal={ArXiv},
  year={2022},
  volume={abs/2209.12311}
}
In the present work we propose and analyze a fully coupled virtual element method of high order for solving the two dimensional nonstationary Boussinesq system in terms of the stream-function and temperature fields. The discretization for the spatial variables is based on the coupling C 1 - and C 0 -conforming virtual element approaches, while a backward Euler scheme is employed for the temporal variable. Well-posedness and unconditional stability of the fully-discrete problem is provided… 
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