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.
Articolo in rivista - Articolo scientifico
Optimal convergence; Stability; Stokes problem; Virtual element method;
English
31-gen-2023
2023
94
3
56
none
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/402415
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