An extended family of nonconforming quasi-Wilson elements for solving elasticity problem

DOI10.1016/j.amc.2018.09.059zbMath1428.74199OpenAlexW2898540384WikidataQ129037350 ScholiaQ129037350MaRDI QIDQ2008354

Allal Guessab, Yassine Zaim, Boujemâa Achchab, Abdellatif Agouzal

Publication date: 25 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.09.059

zbMATH Keywords

nonconforming finite elementenriched finite element methodrectangular meshlinear elastic problemelement of quasi-Wilson type

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

Unconditional Superconvergent Analysis of Quasi-Wilson Element for Benjamin-Bona-Mahoney Equation ⋮ Extended Multidimensional Integration Formulas on Polytope Meshes

Cites Work

• Lower spectral bounds by Wilson's brick discretization
• New expansions of numerical eigenvalues by Wilson's element
• On the convergence of Wilson's nonconforming element for solving the elastic problems
• Superconvergence analysis and error expansion for the Wilson nonconforming finite element
• A discrete Korn's inequality in two and three dimensions
• A new class of nonconforming finite elements for the enrichment of \(Q_{1}\) element on convex polytope
• Nonconforming finite element analysis for Poisson eigenvalue problem
• Nonconforming quadrilateral finite element method for a class of nonlinear sine-Gordon equations
• The patch test—a condition for assessing FEM convergence
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