A second‐order isoparametric element method to solve plane linear elastic problem

DOI10.1002/num.22595OpenAlexW3093647893WikidataQ115397727 ScholiaQ115397727MaRDI QIDQ6087735

Shicang Song, Zhixin Liu

Publication date: 12 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22595

zbMATH Keywords

error estimatesnumerical quadratureisoparametric finite elementplane linear elastic problem

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

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• A second order isoparametric finite element method for elliptic interface problems
• Error estimates for isoparametric mixed finite element solution of 4th order elliptic problems with variable coefficients
• A posteriori error estimators for nonconforming finite element methods of the linear elasticity problem
• Locking effects in the finite element approximation of elasticity problems
• A mixed generalized multiscale finite element method for planar linear elasticity
• Mixed finite elements for elasticity
• Numerical approximation of elliptic interface problems via isoparametric finite element methods
• Numerical Integration Over Simplexes and Cones
• On the rates of convergence of the finite element method
• Nonconforming Finite Element Methods for the Equations of Linear Elasticity
• Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
• Mixed and Hybrid Finite Element Methods
• Linear Finite Element Methods for Planar Linear Elasticity
• A Nonconforming Mixed Multigrid Method for the Pure Displacement Problem in Planar Linear Elasticity
• Analysis of a two‐stage least‐squares finite element method for the planar elasticity problem
• Error Estimate in an Isoparametric Finite Element Eigenvalue Problem
• Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients
• Isoparametric finite-element approximation of a Steklov eigenvalue problem

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