Convergence analysis of incomplete biquadratic rectangular element for fourth-order singular perturbation problem on anisotropic meshes

DOI10.1155/2014/234375zbMath1470.74064OpenAlexW2066947421WikidataQ59036460 ScholiaQ59036460MaRDI QIDQ1722382

Pingli Xie, Meng Hu

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/234375

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (3)

Quasi‐uniform convergence analysis of a modified penalty finite element method for nonlinear singularly perturbed bi‐wave problem ⋮ AC⁰-nonconforming quadrilateral finite element for the fourth-order elliptic singular perturbation problem ⋮ Quasi-uniform convergence analysis of rectangular Morley element for the singularly perturbed bi-wave equation

Cites Work

• High-accuracy analysis of two nonconforming plate elements
• Anisotropic interpolation with applications to the finite element method
• A robust nonconforming $H^2$-element
• On the Necessity and Sufficiency of the Patch Test for Convergence of Nonconforming Finite Elements
• 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
• Conforming Finite Element Approximations for a Fourth-Order Singular Perturbation Problem
• Interior Estimates for Ritz-Galerkin Methods
• Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes
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