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Discontinuous spectral element approximations for the velocity–pressure–stress formulation of the Stokes problem

✍ Scribed by M. I. Gerritsma; T. N. Phillips

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
176 KB
Volume
43
Category
Article
ISSN
0029-5981

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✦ Synopsis

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 su cient condition for compatibility, namely that the discrete extra stress space contains the gradient of the discrete velocity space, is satisÿed 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. ?

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