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On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations (1992)

Shen, Jie

Springer

Numerische Mathematik 62 (1992), S. 49-73

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ISSN: 0945-3245

Keywords: 35A40 ; 35Q10 ; 65J15

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary This paper is a continuation of our previous work [10] on projection methods. We study first existing “higher order” projection schemes in the semidiscretized form for the Navier-Stokes equations. One error analysis suggests that the precision of these schemes is most likely plagued by the inconsistent Neumann boundary condition satisfied by the pressure approximations. We then propose a penalty-projection scheme for which we obtain improved error estimates.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01396220

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