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On a robust inf-sup condition for the Stokes problem in slender domains -- with application to preconditioning

Sande, Espen et al.
arXiv (All) · Papers
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analysis-of-pdesnumerical-analysis
We identify a norm on the pressure variable in the Stokes equation that allows us to prove a continuous inf-sup condition with a constant independent of the domain's aspect ratio. This is in contrast to the standard inf-sup constant, which breaks down as the aspect ratio increases. We further apply
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