A family of Crouzeix–Raviart finite elements in 3D

DOI10.1142/S0219530518500070zbMath1396.33020arXiv1703.03224OpenAlexW2962798524MaRDI QIDQ5375969

Charles F. Dunkl, Patrick~jun. Ciarlet, Stefan A. Sauter

Publication date: 17 September 2018

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03224

zbMATH Keywords

finite elementsymmetric orthogonal polynomialsnon-conformingCrouzeix-Raviartorthogonal polynomials on triangles

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) 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) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items

Nonstandard finite element methods. Abstracts from the workshop held January 10--16, 2021 (hybrid meeting) ⋮ Hybrid Discretizations in Solid Mechanics for Non-linear and Non-smooth Problems ⋮ Crouzeix-Raviart triangular elements are inf-sup stable ⋮ The inf-sup constant for \textit{hp}-Crouzeix-Raviart triangular elements ⋮ Convergence and optimality of an adaptive modified weak Galerkin finite element method ⋮ Nonconforming finite element methods of order two and order three for the Stokes flow in three dimensions ⋮ Stabilization-free HHO a posteriori error control ⋮ Quasi-Optimal Nonconforming Methods for Symmetric Elliptic Problems. II---Overconsistency and Classical Nonconforming Elements ⋮ A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified right-hand sides ⋮ Critical functions and inf-sup stability of Crouzeix-Raviart elements ⋮ On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D

Uses Software

• DLMF

Cites Work

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