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Guo, Benyu; Cao, Weiming

Spectral-finite element method for solving two-dimensional vorticity equations. (English) Zbl 0734.76052

Acta Math. Appl. Sin., Engl. Ser. 7, No. 3, 257-271 (1991).
Summary: 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.

Cited in 5 Documents

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76B47 Vortex flows for incompressible inviscid fluids

Keywords:

spectral-finite element scheme; semi-periodical two-dimensional vorticity equations
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\textit{B. Guo} and \textit{W. Cao}, Acta Math. Appl. Sin., Engl. Ser. 7, No. 3, 257--271 (1991; Zbl 0734.76052)
Full Text: DOI

References:

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