Lowest-order virtual element methods for linear elasticity problems

DOI10.1016/j.cma.2021.114448OpenAlexW3195280316MaRDI QIDQ2072710

Hyeokjoo Park, Do Young Kwak

Publication date: 26 January 2022

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.09971

zbMATH Keywords

virtual element methodlinear elasticity problempolygonal mesh

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) 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)

Related Items (8)

A formal construction of a divergence-free basis in the nonconforming virtual element method for the Stokes problem ⋮ A node‐based uniform strain virtual element method for compressible and nearly incompressible elasticity ⋮ The nonconforming locking-free virtual element method for the Biot's consolidation model in poroelasticity ⋮ A nonconforming immersed virtual element method for elliptic interface problems ⋮ A New Locking-Free Virtual Element Method for Linear Elasticity Problems ⋮ A stabilized nonconforming Crouzeix–Raviart finite element method for the elasticity eigenvalue problem with the pure traction boundary condition ⋮ Shape optimization with virtual element method ⋮ A lowest-order locking-free nonconforming virtual element method based on the reduced integration technique for linear elasticity problems

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