Virtual element method for a nonlocal elliptic problem of Kirchhoff type on polygonal meshes
DOI10.1016/j.camwa.2019.12.018zbMath1447.65126OpenAlexW2999187063WikidataQ126350281 ScholiaQ126350281MaRDI QIDQ2192471
Publication date: 17 August 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.12.018
error estimatevirtual element methodKirchhoff's equationnonlocal elliptic equationequivalent systemgeneral polygonal mesh
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) Semilinear elliptic equations (35J61)
Related Items (10)
Cites Work
- Unnamed Item
- Equivalent projectors for virtual element methods
- Virtual element methods for plate bending problems
- Remarks on an elliptic equation of Kirchhoff type
- Virtual element methods for hyperbolic problems on polygonal meshes
- High-order virtual element method on polyhedral meshes
- A scaled boundary finite element formulation over arbitrary faceted star convex polyhedra
- A posteriori error estimates for the virtual element method
- SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations
- Virtual element method for semilinear elliptic problems on polygonal meshes
- Order preserving SUPG stabilization for the virtual element formulation of advection-diffusion problems
- A posteriori error estimation and adaptivity in \textit{hp} virtual elements
- Recent advances in the construction of polygonal finite element interpolants
- A numerical algorithm for the nonlinear Kirchhoff string equation
- A virtual element method for elastic and inelastic problems on polytope meshes
- The mimetic finite difference method for elliptic problems
- Virtual Element Method for general second-order elliptic problems on polygonal meshes
- Finite Element Method for a Nonlocal Problem of Kirchhoff Type
- A displacement-based finite element formulation for general polyhedra using harmonic shape functions
- Virtual and smoothed finite elements: A connection and its application to polygonal/polyhedral finite element methods
- Divergence free virtual elements for the stokes problem on polygonal meshes
- Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes
- Virtual element methods for parabolic problems on polygonal meshes
- A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes
- Some remarks on non local elliptic and parabolic problems
- Ill‐conditioning in the virtual element method: Stabilizations and bases
- Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
- Conforming and nonconforming virtual element methods for elliptic problems
- On the Well-Posedness of the Kirchhoff String
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes
- The Hitchhiker's Guide to the Virtual Element Method
- Residuala posteriorierror estimation for the Virtual Element Method for elliptic problems
- A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
- Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
This page was built for publication: Virtual element method for a nonlocal elliptic problem of Kirchhoff type on polygonal meshes
