Increasing application of composite structures in engineering field inherently speed up the studies focusing on the investigation of non-homogeneous bodies. Due to their capability on capturing the size effects, and offering solutions independent of spatial discretization, enriched non-classical continuum theories are often more preferable with respect to the classical ones.
Understanding the effects of defects is crucial due to their deliberate or unintentional presence in many materials. Classical theory of elasticity may not be the best candidate to describe behaviour of structures with defects of comparable size of its underlying material organization, as it lacks in internal scale parameters.
We study a Stokes flow in a cylindrical-type fractal domain with homogeneousDirichlet boundary conditions. We consider its numerical approximation bymixed methods: finite elements in space and finite differences in time. We intro-duce a suitably refined mesh `a la Grisvard, which in turn will allow us to obtainan optimal a priori error estimate
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