A Locking-Free DP-Q2-P1 MFEM for Incompressible Nonlinear Elasticity Problems

DOI10.4208/NMTMA.OA-2018-0087zbMath1463.65298arXiv1710.04445OpenAlexW2954490310MaRDI QIDQ5128450

Zhiping Li, Weijie Huang

Publication date: 27 October 2020

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04445

zbMATH Keywords

cavitationincompressible nonlinear elasticitylocking-freedamped Newton methodDP-Q2-P1 mixed finite elementlarge deformation gradient

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with mechanics of deformable solids (35Q74)

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