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Zbl 1203.76086
Notsu, Hirofumi; Tabata, Masahisa
A single-step characteristic-curve finite element scheme of second order in time for the incompressible Navier-Stokes equations. (English)
[J] J. Sci. Comput. 38, No. 1, 1-14 (2009). ISSN 0885-7474; ISSN 1573-7691/e

Summary: We present a new single-step characteristic-curve finite element scheme of second order in time for the nonstationary incompressible Navier-Stokes equations. After supplying correction terms in the variational formulation, we prove that the scheme is of second order in time. The convergence rate of the scheme is numerically recognized by computational results.

MSC 2000:: *76M10 Finite element methods
65M60 Finite numerical methods (IVP of PDE)
35Q30 Stokes and Navier-Stokes equations
76D05 Navier-Stokes equations (fluid dynamics)

Keywords: characteristic-curve; second order in time; the Navier-Stokes equations; finite element method

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Zentralblatt MATH Berlin [Germany]