Stability and interpolation properties of serendipity nodal virtual elements

Autor: Lourenço Beirão da Veiga, Lorenzo Mascotto
Přispěvatelé: Beirao da Veiga, L, Mascotto, L
Rok vydání: 2023
Předmět:
Zdroj: Applied Mathematics Letters. 142:108639
ISSN: 0893-9659
DOI: 10.1016/j.aml.2023.108639
Popis: We discuss stability and interpolation properties of serendipity nodal virtual element spaces in two and three dimensions. Notably, we rigorously prove stability bounds for the “dofi-dofi” stabilization and show that the best interpolation error in serendipity nodal spaces is controlled, up to constants, by a best polynomial approximation term.
Databáze: OpenAIRE