Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version
DOI10.1137/21M1411275zbMath1498.65195arXiv2005.12009OpenAlexW3026625153MaRDI QIDQ5093640
Giuseppe Vacca, Lourenco Beirão da Veiga
Publication date: 29 July 2022
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.12009
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) Numerical interpolation (65D05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Combinatorial aspects of tessellation and tiling problems (05B45)
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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
- Virtual element methods for plate bending problems
- Non-conforming harmonic virtual element method: \(h\)- and \(p\)-versions
- On the virtual element method for topology optimization on polygonal meshes: a numerical study
- High-order virtual element method on polyhedral meshes
- A posteriori error estimates for the virtual element method
- A virtual element method for contact
- BDDC and FETI-DP for the virtual element method
- Efficient virtual element formulations for compressible and incompressible finite deformations
- Some error analysis on virtual element methods
- Robust hybrid high-order method on polytopal meshes with small faces
- Extended virtual element method for the Laplace problem with singularities and discontinuities
- Virtual element for the buckling problem of Kirchhoff-Love plates
- A three-dimensional Hellinger-Reissner virtual element method for linear elasticity problems
- VEM-based tracking algorithm for cohesive/frictional 2D fracture
- Virtual element method for a nonlocal elliptic problem of Kirchhoff type on polygonal meshes
- Virtual enriching operators
- Weak Galerkin finite element method for Poisson's equation on polytopal meshes with small edges or faces
- Some estimates for virtual element methods
- The hybrid high-order method for polytopal meshes. Design, analysis, and applications
- Order preserving SUPG stabilization for the virtual element formulation of advection-diffusion problems
- The nonconforming virtual element method for elasticity problems
- Virtual Element Method for the Laplace-Beltrami equation on surfaces
- Virtual element methods on meshes with small edges or faces
- Stability analysis for the virtual element method
- A Mixed Virtual Element Method for Quasi-Newtonian Stokes Flows
- The fully nonconforming virtual element method for biharmonic problems
- Dual Virtual Element Method for Discrete Fractures Networks
- Anisotropic Error Estimates of the Linear Virtual Element Method on Polygonal Meshes
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A nonconforming Trefftz virtual element method for the Helmholtz problem
- An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids
- The Hitchhiker's Guide to the Virtual Element Method
- The Virtual Element Method with curved edges
- The nonconforming Virtual Element Method for eigenvalue problems
- A mixed virtual element method for the Brinkman problem
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- The Mathematical Theory of Finite Element Methods
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