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.
Meng, J., Beirao da Veiga, L., Mascotto, L. (2023). Stability and Interpolation Properties for Stokes-Like Virtual Element Spaces. JOURNAL OF SCIENTIFIC COMPUTING, 94(3) [10.1007/s10915-023-02112-w].
Stability and Interpolation Properties for Stokes-Like Virtual Element Spaces
Beirao da Veiga, L;Mascotto, L
2023
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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