Stability and interpolation properties of serendipity nodal virtual elements

Autor: Lourenço Beirão da Veiga, Lorenzo Mascotto

Publikováno v: Applied Mathematics Letters. 142:108639

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e01d70e9cb44ca3440b49580a7a294c
https://doi.org/10.1016/j.aml.2023.108639

Serendipity Nodal VEM spaces

Autor: L. Beirão da Veiga, Alessandro Russo, L.D. Marini, Franco Brezzi

Publikováno v: Computers & fluids 141 (2016): 2–12. doi:10.1016/j.compfluid.2016.02.015
info:cnr-pdr/source/autori:L. Beirao da Veiga, F. Brezzi, L.D. Marini, and A. Russo/titolo:Serendipity nodal VEM spaces/doi:10.1016%2Fj.compfluid.2016.02.015/rivista:Computers & fluids/anno:2016/pagina_da:2/pagina_a:12/intervallo_pagine:2–12/volume:141

We introduce a new variant of Nodal Virtual Element spaces that mimics the “Serendipity Finite Element Methods” (whose most popular example is the 8-node quadrilateral) and allows to reduce (often in a significant way) the number of internal degr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94a28b0742a63b4d240781f108e40f35
https://doi.org/10.1016/j.compfluid.2016.02.015