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- W4311175280 abstract "Superconvergence error analysis is investigated of a mixed finite element method (MFEM) for the time-dependent natural convection problem. The backward Euler scheme is adopted for the discrete in time, while the Bernadi-Rangel element is used to approximate the velocity u and the pressure p, and the bilinear element to the temperature T in space, respectively. Combined with the characters of the chosen elements and skillful techniques, the superclose results of order O(h2+τ) for u,T in the H1-norm and p in L2-norm are deduced rigorously, where h is the subdivision scale and τ, the time step. Further, the global superconvergence results are obtained through the interpolation postprocessing technique. We mention that in the high accuracy results obtained in this paper, the restriction between the h and τ is removed by the space-time splitting skill. Finally, numerical tests are also established to verify the theoretical analysis." @default.
- W4311175280 created "2022-12-24" @default.
- W4311175280 creator A5000510528 @default.
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- W4311175280 date "2023-02-01" @default.
- W4311175280 modified "2023-10-15" @default.
- W4311175280 title "Superconvergence error analysis of an efficient mixed finite element method for time-dependent natural convection problem" @default.
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- W4311175280 doi "https://doi.org/10.1016/j.camwa.2022.11.032" @default.
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