Error Analysis of a Dual-parametric Bi-quadratic FEM in Cavitation Computation in Elasticity

DOI10.1137/140971142zbMath1320.74108OpenAlexW1143608061MaRDI QIDQ5261602

Chun-Mei Su, Zhiping Li

Publication date: 6 July 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/111f0fbaadb9e8e58df3f0f18270b941e4012c32

zbMATH Keywords

error analysisnonlinear elasticitycavitationdual-parametric bi-quadratic finite elementoptimal meshing strategy

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05)

Related Items (6)

A meshing strategy for a quadratic iso-parametric FEM in cavitation computation in nonlinear elasticity ⋮ A numerical study of void coalescence and fracture in nonlinear elasticity ⋮ High‐order dual‐parametric finite element methods for cavitation computation in nonlinear elasticity ⋮ A locking-free FEM for cavitation computation in nearly incompressible nonlinear elasticity ⋮ Fourier-Chebyshev spectral method for cavitation computation in nonlinear elasticity ⋮ Orientation-preservation conditions on an iso-parametric FEM in cavitation computation

Cites Work

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