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arXiv · 2502.06286

Stability and interpolation estimates of Hellinger-Reissner virtual element spaces

Michele Botti·Lorenzo Mascotto·Giuseppe Vacca·Michele Visinoni
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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.

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Michele Botti, Lorenzo Mascotto, Giuseppe Vacca, Michele Visinoni. 2025-02-10. Stability and interpolation estimates of Hellinger-Reissner virtual element spaces. https://arxiv.org/abs/2502.06286

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