Stability and interpolation estimates of Hellinger-Reissner virtual element spaces
Numerical Analysis
2025-02-11 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2502.06286,
title = {Stability and interpolation estimates of Hellinger-Reissner virtual element spaces},
author = {Michele Botti and Lorenzo Mascotto and Giuseppe Vacca and Michele Visinoni},
journal= {arXiv preprint arXiv:2502.06286},
year = {2025}
}