Numerical recipes for elastodynamic virtual element methods with explicit time integration
DOI10.1002/NME.6173WikidataQ127499223 ScholiaQ127499223MaRDI QIDQ6495597
Glaucio H. Paulino, Kyoungsoo Park, Heng Chi
Publication date: 30 April 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
elastodynamicscritical time steplumped mass matrixvirtual element method (VEM)convex and nonconvex elements
Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
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Cites Work
- Unnamed Item
- Equivalent projectors for virtual element methods
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- A hybrid mortar virtual element method for discrete fracture network simulations
- Development of a stabilised Petrov-Galerkin formulation for conservation laws in Lagrangian fast solid dynamics
- An element eigenvalue theorem and its application for stable time steps
- Virtual element methods for hyperbolic problems on polygonal meshes
- On the virtual element method for topology optimization on polygonal meshes: a numerical study
- High-order virtual element method on polyhedral meshes
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- A virtual element method for contact
- Efficient virtual element formulations for compressible and incompressible finite deformations
- Virtual elements and zero thickness interface-based approach for fracture analysis of heterogeneous materials
- Phase-field modeling of brittle fracture using an efficient virtual element scheme
- A simple and effective gradient recovery scheme and \textit{a posteriori} error estimator for the virtual element method (VEM)
- Some basic formulations of the virtual element method (VEM) for finite deformations
- Evaluation of numerical integration methods in elastodynamics
- Mean value coordinates in 3D
- A virtual element method for elastic and inelastic problems on polytope meshes
- Virtual Element Method for general second-order elliptic problems on polygonal meshes
- The effects of element shape on the critical time step in explicit time integrators for elasto-dynamics
- A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach
- Virtual element methods for parabolic problems on polygonal meshes
- Generalization of selective integration procedures to anisotropic and nonlinear media
- An analysis of an unconditionally stable explicit method
- Bounds on eigenvalues of finite element systems
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Virtual element method for semilinear hyperbolic problems on polygonal meshes
- The Hitchhiker's Guide to the Virtual Element Method
- A Note on Mass Lumping in the Finite Element Time Domain Method
- Stability of Finite-Difference Equation for the Transient Response of a Flat Plate
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