VEM and the mesh
From MaRDI portal
Publication:2106419
DOI10.1007/978-3-030-95319-5_1zbMath1503.65301arXiv2103.01614OpenAlexW4312982177MaRDI QIDQ2106419
Micol Pennacchio, Silvia Biasotti, Daniele Prada, Daniela Cabiddu, Michela Spagnuolo, Silvia Bertoluzza, Gianmarco Manzini, Tommaso Sorgente, Giuseppe Patanè
Publication date: 14 December 2022
Full work available at URL: https://arxiv.org/abs/2103.01614
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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items
Conforming virtual element approximations of the two-dimensional Stokes problem ⋮ Polyhedral mesh quality indicator for the virtual element method
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- GitHub
- \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods
- Equivalent projectors for virtual element methods
- Virtual element method for fourth order problems: \(L^2\)-estimates
- The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes
- Mimetic finite difference method
- Mimetic scalar products of discrete differential forms
- On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions
- The virtual element method for discrete fracture network simulations
- A posteriori error estimates for the virtual element method
- A virtual element method for contact
- BDDC and FETI-DP for the virtual element method
- Discontinuous skeletal gradient discretisation methods on polytopal meshes
- Exploring high-order three dimensional virtual elements: bases and stabilizations
- Some error analysis on virtual element methods
- The virtual element method for eigenvalue problems with potential terms on polytopic meshes.
- SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations
- Veamy: an extensible object-oriented C++ library for the virtual element method
- The role of mesh quality and mesh quality indicators in the virtual element method
- Extended virtual element method for two-dimensional linear elastic fracture
- Stabilization of the nonconforming virtual element method
- Virtual elements for Maxwell's equations
- Extended virtual element method for the Laplace problem with singularities and discontinuities
- An overlapping Schwarz method for virtual element discretizations in two dimensions
- The conforming virtual element method for polyharmonic problems
- The \(p\)- and \(hp\)-versions of the virtual element method for elliptic eigenvalue problems
- The virtual element method for resistive magnetohydrodynamics
- Some estimates for virtual element methods
- The virtual element method in 50 lines of MATLAB
- Exponential convergence of the \(hp\) virtual element method in presence of corner singularities
- On the finite element method
- The mimetic finite difference method for elliptic problems
- Virtual Element Method for general second-order elliptic problems on polygonal meshes
- A plane wave virtual element method for the Helmholtz problem
- Hourglass stabilization and the virtual element method
- Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes
- Basic principles of hp virtual elements on quasiuniform meshes
- Condition Estimates
- A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes
- Mimetic finite differences for elliptic problems
- A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra
- Virtual element methods on meshes with small edges or faces
- A multigrid algorithm for the p-version of the virtual element method
- Stability analysis for the virtual element method
- Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients
- Ill‐conditioning in the virtual element method: Stabilizations and bases
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations
- Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version
- FETI-DP for the Three Dimensional Virtual Element Method
- The Hitchhiker's Guide to the Virtual Element Method
- New perspectives on polygonal and polyhedral finite element methods
- Post processing of solution and flux for the nodal mimetic finite difference method
- The nonconforming Virtual Element Method for eigenvalue problems
- Residuala posteriorierror estimation for the Virtual Element Method for elliptic problems
- A virtual element method for the Steklov eigenvalue problem
- A Parallel Solver for Large Scale DFN Flow Simulations
- A virtual element method with arbitrary regularity
- The Mathematical Theory of Finite Element Methods
