Stability and interpolation properties of serendipity nodal virtual elements
Applied Mathematics Letters(2023)
摘要
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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关键词
Virtual element method,Serendipity space,Stability bound,Interpolation estimate
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