ISSN:
0945-3245
Keywords:
AMS(MOS): 65N30: 65N35
;
CR:G1.8
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary In order to approximate the Navier-Stokes equations with periodic boundary conditions in two directions and a no-slip boundary condition in the third direction by spectral methods, we justify by theoretical arguments an appropriate choice of discrete spaces for the velocity and the pressure. The compatibility between these two spaces is checked via an infsup condition. We analyze a spectral and a collocation pseudo-spectral method for the Stokes problem and a collocation pseudo-spectral method for the Navier-Stokes equations. We derive error bounds of spectral type, i.e. which behave likeM −σ whereM depends on the number of degrees of freedom of the method and σ represents the regularity of the data.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01400175
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