Stability and interpolation estimates of Hellinger-Reissner virtual element spaces

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Code:
10/2025
Title:
Stability and interpolation estimates of Hellinger-Reissner virtual element spaces
Date:
Thursday 13th February 2025
Author(s):
Botti, M.; Mascotto, L.; Vacca, G.; Visinoni, M.
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Abstract:
We prove stability and interpolation estimates for Hellinger-Reissner virtual elements; the constants appearing in such estimates only depend on the aspect ratio of the polytope under consideration and the degree of accuracy of the scheme. We further investigate numerically the behaviour of the constants appearing in the stability estimates on sequences of badly-shaped polytopes and for increasing degree of accuracy.