We develop interpolation error estimates for general order standard and serendipity edge and face virtual elements in two and three dimensions. Contextually, we investigate the stability properties of the associated L2 discrete bilinear forms. These results are fundamental tools in the analysis of general order virtual elements, e.g. for electromagnetic problems.
Beirao da Veiga, L., Mascotto, L., Meng, J. (2022). Interpolation and stability estimates for edge and face virtual elements of general order. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 32(8), 1589-1631 [10.1142/S0218202522500373].
Interpolation and stability estimates for edge and face virtual elements of general order
Beirao da Veiga, L;Mascotto, L;
2022
Abstract
We develop interpolation error estimates for general order standard and serendipity edge and face virtual elements in two and three dimensions. Contextually, we investigate the stability properties of the associated L2 discrete bilinear forms. These results are fundamental tools in the analysis of general order virtual elements, e.g. for electromagnetic problems.
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