Weakly imposed Dirichlet boundary conditions for 2D and 3D virtual elements
From MaRDI portal
Publication:2083100
DOI10.1016/j.cma.2022.115454OpenAlexW4291820834WikidataQ113877830 ScholiaQ113877830MaRDI QIDQ2083100
Micol Pennacchio, Daniele Prada, Silvia Bertoluzza
Publication date: 10 October 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.15039
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces ⋮ Error estimates of conforming virtual element methods with a modified symmetric Nitsche's formula for 2D semilinear parabolic equations ⋮ A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition ⋮ Reduced basis stabilization and post-processing for the virtual element method
Cites Work
- Equivalent projectors for virtual element methods
- The virtual element method for a minimal surface problem
- Weak imposition of Dirichlet boundary conditions in fluid mechanics
- Weak Dirichlet boundary conditions for wall-bounded turbulent flows
- Boundary Lagrange multipliers in finite element methods: Error analysis in natural norms
- The finite element method with Lagrange multipliers on the boundary: Circumventing the Babuška-Brezzi condition
- 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
- BDDC and FETI-DP for the virtual element method
- Efficient virtual element formulations for compressible and incompressible finite deformations
- Exploring high-order three dimensional virtual elements: bases and stabilizations
- On some techniques for approximating boundary conditions in the finite element method
- Stabilization of the nonconforming virtual element method
- An overlapping Schwarz method for virtual element discretizations in two dimensions
- Dirichlet boundary value correction using Lagrange multipliers
- High order VEM on curved domains
- Exponential convergence of the \(hp\) virtual element method in presence of corner singularities
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- The finite element method with Lagrangian multipliers
- A virtual element method for elastic and inelastic problems on polytope meshes
- Mixed virtual element methods for general second order elliptic problems on polygonal meshes
- A plane wave virtual element method for the Helmholtz problem
- The nonconforming virtual element method
- Virtual Elements for Linear Elasticity Problems
- Comparison of high-order curved finite elements
- Divergence free virtual elements for the stokes problem on polygonal meshes
- Nitsche’s method for general boundary conditions
- Basic principles of hp virtual elements on quasiuniform meshes
- Condition Estimates
- Virtual element methods for parabolic problems on polygonal meshes
- A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes
- Nitsche's method for interface problems in computa-tional mechanics
- A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra
- Virtual Element Method for the Laplace-Beltrami equation on surfaces
- 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
- Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
- Projection Methods for Dirichlet's Problem in Approximating Polygonal Domains with Boundary-Value Corrections
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Mixed Finite Element Methods and Applications
- A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints
- Trefftz Finite Elements on Curvilinear Polygons
- FETI-DP for the Three Dimensional Virtual Element Method
- Polynomial preserving virtual elements with curved edges
- The Hitchhiker's Guide to the Virtual Element Method
- The Virtual Element Method with curved edges
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
- Unnamed Item
- Unnamed Item