ISSN:
0029-5981
Keywords:
Stokes problem
;
discontinuous approximations
;
compatible approximation spaces
;
mixed formulation
;
spectral element methods
;
Engineering
;
Numerical Methods and Modeling
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
The discretization of the mixed velocity-pressure-stress formulation of the Stokes problem using the spectral element method is considered. The compatibility conditions between the discrete velocity and extra stress spaces are examined. A sufficient condition for compatibility, namely that the discrete extra stress space contains the gradient of the discrete velocity space, is satisfied provided one allows discontinuous approximations of the extra stress between elements. Numerical results are presented for smooth and non-smooth problems showing the consequences of satisfying or violating this condition. © 1998 John Wiley & Sons, Ltd.
Additional Material:
10 Ill.
Type of Medium:
Electronic Resource
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