Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations
DOI10.1002/nme.7052arXiv2110.00514OpenAlexW3202532284WikidataQ114235347 ScholiaQ114235347MaRDI QIDQ6071427
Publication date: 23 November 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.00514
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Linear waves in solid mechanics (74J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Unnamed Item
- Equivalent projectors for virtual element methods
- On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations
- Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra
- An element eigenvalue theorem and its application for stable time steps
- High-order virtual element method on polyhedral meshes
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem
- Exploring high-order three dimensional virtual elements: bases and stabilizations
- Polyhedral finite elements for nonlinear solid mechanics using tetrahedral subdivisions and dual-cell aggregation
- An engineering perspective to the virtual element method and its interplay with the standard finite element method
- An efficient method to integrate polynomials over polytopes and curved solids
- Extended virtual element method for the Laplace problem with singularities and discontinuities
- On nonconvex meshes for elastodynamics using virtual element methods with explicit time integration
- The mimetic finite difference method for elliptic problems
- Benchmarking the geometrical robustness of a virtual element Poisson solver
- Virtual Elements for Linear Elasticity Problems
- Sliver exudation
- Hourglass stabilization and the virtual element method
- Virtual element methods for parabolic problems on polygonal meshes
- A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
- Bounds on eigenvalues of finite element systems
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- The Hitchhiker's Guide to the Virtual Element Method
- hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
- Bounds on the extremal eigenvalues of the finite element stiffness and mass matrices and their spectral condition number
This page was built for publication: Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations
