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In this article,
we analyze the stability of various numerical schemes for differential models of viscoelastic fluids.
More precisely, we consider the prototypical Oldroyd-B model,
for which a dissipation holds,
and we show under which assumptions such a dissipation is also satisfied for the numerical scheme.
Among the numerical schemes we analyze,
we consider some discretizations based on the of the Oldroyd-B system proposed
by Fattal and Kupferman in [
(2004) 281–285],...
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