A new robust \(C^{0}\)-type nonconforming triangular element for singular perturbation problems

DOI10.1016/j.amc.2010.09.042zbMath1222.65128OpenAlexW2009820555MaRDI QIDQ618065

Hua Li, Pingli Xie, Dong-Yang Shi

Publication date: 14 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.09.042

zbMATH Keywords

convergencenumerical experimentserror estimatenonconforming finite elementbubble functionDouble set parameterfourth order elliptic singular perturbation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Boundary value problems for higher-order elliptic equations (35J40) 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)

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Cites Work

• An anisotropic, superconvergent nonconforming plate finite element
• On the accuracy of the quasi-conforming and generalized conforming finite elements
• Generalized conforming element for bending and buckling analysis of plates
• A quadrilateral, anisotropic, superconvergent, nonconforming double set parameter element
• A robust nonconforming $H^2$-element
• On the Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems in Two and One Dimensions
• The F-E-M-Test for Convergence of Nonconforming Finite Elements
• The Generalized Patch Test
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