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.
Beirao da Veiga, L., Mascotto, L. (2023). Stability and interpolation properties of serendipity nodal virtual elements. APPLIED MATHEMATICS LETTERS, 142(August 2023) [10.1016/j.aml.2023.108639].
Stability and interpolation properties of serendipity nodal virtual elements
Beirao da Veiga, Lourenco;Mascotto, Lorenzo
2023
Abstract
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.
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