Hybridization of the virtual element method for linear elasticity problems
From MaRDI portal
Publication:5024421
DOI10.1142/S0218202521500676zbMath1480.65331arXiv2103.01164OpenAlexW3210836320MaRDI QIDQ5024421
Michele Visinoni, Franco Dassi, Carlo Lovadina
Publication date: 31 January 2022
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.01164
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
Mixed virtual volume methods for elliptic problems, A node‐based uniform strain virtual element method for compressible and nearly incompressible elasticity, A Hu-Washizu variational approach to self-stabilized virtual elements: 2D linear elastostatics, A family of three-dimensional virtual elements for Hellinger-Reissner elasticity problems, A lowest order stabilization-free mixed virtual element method, Virtual element methods for three-dimensional Hellinger-Reissner elastostatic problems, Some virtual element methods for infinitesimal elasticity problems, Recent results and perspectives for virtual element methods
Uses Software
Cites Work
- Unnamed Item
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- Virtual element methods for plate bending problems
- A low order 3D virtual element formulation for finite elasto-plastic deformations
- Some equilibrium finite element methods for two-dimensional elasticity problems
- Non-conforming harmonic virtual element method: \(h\)- and \(p\)-versions
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- A hybrid high-order locking-free method for linear elasticity on general meshes
- Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem
- Arbitrary order 2D virtual elements for polygonal meshes. II: Inelastic problem
- Efficient virtual element formulations for compressible and incompressible finite deformations
- New hybridized mixed methods for linear elasticity and optimal multilevel solvers
- An analysis of the TDNNS method using natural norms
- Mixed finite elements for elasticity
- A family of virtual element methods for plane elasticity problems based on the Hellinger-Reissner principle
- A low-order nonconforming method for linear elasticity on general meshes
- Virtual element method for two-dimensional linear elasticity problem in mixed weakly symmetric formulation
- An enhanced VEM formulation for plane elasticity
- Curvilinear virtual elements for 2D solid mechanics applications
- A three-dimensional Hellinger-Reissner virtual element method for linear elasticity problems
- Some basic formulations of the virtual element method (VEM) for finite deformations
- A stress/displacement virtual element method for plane elasticity problems
- A virtual element method for elastic and inelastic problems on polytope meshes
- Displacement and equilibrium models in the finite element method by B. Fraeijs de Veubeke, Chapter 9, Pages 145–197 of Stress Analysis, Edited by O. C. Zienkiewicz and G. S. Holister, Published by John Wiley & Sons, 1965
- The nonconforming virtual element method
- Virtual Elements for Linear Elasticity Problems
- Superconvergent HDG methods for linear elasticity with weakly symmetric stresses
- TANGENTIAL-DISPLACEMENT AND NORMAL–NORMAL-STRESS CONTINUOUS MIXED FINITE ELEMENTS FOR ELASTICITY
- Exact constants in Poincaré type inequalities for functions with zero mean boundary traces
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- PEERS: A new mixed finite element for plane elasticity
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by M-decompositions
- Virtual element methods on meshes with small edges or faces
- Stability analysis for the virtual element method
- A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems
- Anisotropic Error Estimates of the Linear Virtual Element Method on Polygonal Meshes
- Centroidal Voronoi Tessellations: Applications and Algorithms
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Mixed Finite Element Methods and Applications
- The Hitchhiker's Guide to the Virtual Element Method
- TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator
- Finite Elemente
- The Mathematical Theory of Finite Element Methods
