Enrichment of the nonconforming virtual element method with singular functions
DOI10.1016/j.cma.2021.114024zbMath1502.65186arXiv2005.02654OpenAlexW3173266134MaRDI QIDQ2237752
Lorenzo Mascotto, Edoardo Artioli
Publication date: 28 October 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.02654
singular functionoptimal convergencevirtual element methodpolygonal meshenrichmentextended Galerkin method
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 (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations
- Hitchhiker's guide to the fractional Sobolev spaces
- The partition of unity finite element method: basic theory and applications
- Non-conforming harmonic virtual element method: \(h\)- and \(p\)-versions
- High-order virtual element method on polyhedral meshes
- A posteriori error estimates for the virtual element method
- Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem
- Discontinuous skeletal gradient discretisation methods on polytopal meshes
- Efficient virtual element formulations for compressible and incompressible finite deformations
- The design and analysis of the generalized finite element method
- Extended virtual element method for the Laplace problem with singularities and discontinuities
- A three-dimensional Hellinger-Reissner virtual element method for linear elasticity problems
- VEM-based tracking algorithm for cohesive/frictional 2D fracture
- The conforming virtual element method for polyharmonic problems
- A stress/displacement virtual element method for plane elasticity problems
- Exponential convergence of the \(hp\) virtual element method in presence of corner singularities
- A virtual element method for elastic and inelastic problems on polytope meshes
- Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
- A plane wave virtual element method for the Helmholtz problem
- The nonconforming virtual element method
- Divergence free virtual elements for the stokes problem on polygonal meshes
- Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. II: The Trace Spaces and Application to the Boundary Value Problems with Nonhomogeneous Boundary Conditions
- The $h-p$ version of the finite element method with quasiuniform meshes
- Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order
- The $h{\text{ - }}p$ Version of the Finite Element Method for Domains with Curved Boundaries
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- Crack Singularities for General Elliptic Systems
- Virtual element methods on meshes with small edges or faces
- Stability analysis for the virtual element method
- Ill‐conditioning in the virtual element method: Stabilizations and bases
- Conforming and nonconforming virtual element methods for elliptic problems
- Anisotropic Error Estimates of the Linear Virtual Element Method on Polygonal Meshes
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A finite element method for crack growth without remeshing
- Nonconforming Virtual Element Method for $2m$th Order Partial Differential Equations in $\mathbb {R}^n$
- The Hitchhiker's Guide to the Virtual Element Method
- BEM-based Finite Element Approaches on Polytopal Meshes
- The Mathematical Theory of Finite Element Methods
This page was built for publication: Enrichment of the nonconforming virtual element method with singular functions
