A general class of enriched methods for the simplicial linear finite elements

DOI10.1016/j.amc.2023.128149OpenAlexW4379142549MaRDI QIDQ6108020

Federico Nudo, F. Di Tommaso, Francesco Dell'Accio, Allal Guessab

Publication date: 29 June 2023

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2023.128149

zbMATH Keywords

nonconforming finite elementenriched finite elementsimplicial linear finite element

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

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• Characterization of the existence of an enriched linear finite element approximation using biorthogonal systems
• A general approach to the construction of nonconforming finite elements on convex polytopes
• Discontinuous enrichment in finite elements with a partition of unity method
• On the improvement of the triangular Shepard method by non conformal polynomial elements
• An interface-enriched generalized finite element formulation for locking-free coupling of non-conforming discretizations and contact
• Lower-dimensional interface elements with local enrichment: application to coupled hydro-mechanical problems in discretely fractured porous media
• Convexity results and sharp error estimates in approximate multivariate integration
• A simple necessary and sufficient condition for the enrichment of the Crouzeix-Raviart element
• A Unified and General Framework for Enriching Finite Element Approximations
• Orthogonal Polynomials of Several Variables
• Numerical Analysis
• A unified enrichment approach of the standard three-node triangular element
• Enrichment strategies for the simplicial linear finite elements