Abstract
In this paper, we construct a spectral-finite element scheme for solving semi-periodical two-dimensional vorticity equations. The error between the genuine solution and approximate solution is estimated strictly. The numerical results show the advantages of such a method. The technique used in this paper can be easily generalized to three-dimensional problems.
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Guo, B., Cao, W. Spectral-finite element method for solving two-dimensional vorticity equations. Acta Mathematicae Applicatae Sinica 7, 257–271 (1991). https://doi.org/10.1007/BF02005974
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DOI: https://doi.org/10.1007/BF02005974