Stability and interpolation properties for Stokes-like virtual element spaces

Published 20 Jul 2022 in math.NA and cs.NA | (2207.09844v2)

Abstract: We prove stability bounds for Stokes-like virtual element spaces in two and three dimensions. Such bounds are also instrumental in deriving optimal interpolation estimates. Furthermore, we develop some numerical tests in order to investigate the behaviour of the stability constants also from the practical side.

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