Interpolation and stability estimates for edge and face virtual elements of general order

DOI10.1142/S0218202522500373zbMath1497.65218arXiv2203.00303OpenAlexW4221152130MaRDI QIDQ5045190

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Publication date: 4 November 2022

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.00303

zbMATH Keywords

stability analysisinterpolation propertiespolytopal meshesserendipity spacesedge and face virtual element spaces

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (7)

The virtual element method ⋮ Virtual element method for the modified transmission eigenvalue problem in inverse scattering theory ⋮ Immersed virtual element methods for electromagnetic interface problems in three dimensions ⋮ The role of stabilization in the virtual element method: a survey ⋮ The virtual element method for the 3D resistive magnetohydrodynamic model ⋮ Stability and interpolation properties of serendipity nodal virtual elements ⋮ A virtual element method for overcoming locking phenomena in Biot’s consolidation model

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