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1. A spectral element Crank–Nicolson model to the 2D unsteady conduction–convection problems about vorticity and stream functions

   Author: Fei Teng; Taiying Zhu; Zhendong Luo

   Published: 2020

   Publisher:  SpringerOpen

   Abstract In this study, a time semi-discretized Crank–Nicolson (CN) scheme of the two-dimensional (2D) unsteady conduction–convection problems for vorticity and stream functions is first built together with showing the existence and stability along... more

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   Full text:	https://doaj.org/article/1c704e008ef441ba8c9965ba4f61e2e5
   Link for citation:	https://doi.org/10.1186/s13660-020-2288-z

   Abstract In this study, a time semi-discretized Crank–Nicolson (CN) scheme of the two-dimensional (2D) unsteady conduction–convection problems for vorticity and stream functions is first built together with showing the existence and stability along with error estimates to the semi-discretized CN solutions. Afterwards, a fully discretized spectral element CN (SECN) model of the 2D unsteady conduction–convection problems as regards the vorticity and stream functions is set up together with showing the proof of the existence and stability along with error estimates of the SECN solution. Lastly, a set of numerical experiments are offered for checking the correctness of the theoretical conclusions.

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   Source:	BASE Selection for Comparative Literature
   Language:	English
   Media type:	Article (journal)
   Format:	Online
   Parent title:	Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-18 (2020)
   Subjects:	Semi-discretized Crank–Nicolson scheme as a function of time; Unsteady conduction–convection problems with vorticity and stream functions; Spectral element Crank–Nicolson model; Error estimates; Mathematics