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.
Articolo in rivista - Articolo scientifico
Edge and face virtual element spaces; interpolation properties; polytopal meshes; serendipity spaces; stability analysis;
English
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1631
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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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/393249
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