Virtual element methods for nonlocal parabolic problems on general type of meshes
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Publication:831042
DOI10.1007/s10444-020-09811-0zbMath1471.65131OpenAlexW3084692788MaRDI QIDQ831042
Publication date: 10 May 2021
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-020-09811-0
error estimatesnonlinear equationsnonlocal parabolic equationvirtual element methodpolygonal/polyhedral meshes
Numerical computation of solutions to systems of equations (65H10) 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) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
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Cites Work
- Unnamed Item
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- Equivalent projectors for virtual element methods
- Virtual element methods for plate bending problems
- Convergence of a finite volume scheme for nonlocal reaction-diffusion systems modelling an epidemic disease
- Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems
- 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 a virtual element method for the Steklov eigenvalue problem
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- A hybrid high-order locking-free method for linear elasticity on general meshes
- A posteriori error estimates for the virtual element method
- Exploring high-order three dimensional virtual elements: bases and stabilizations
- The virtual element method for eigenvalue problems with potential terms on polytopic meshes.
- Virtual element for the buckling problem of Kirchhoff-Love plates
- Virtual element method for semilinear elliptic problems on polygonal meshes
- The Stokes complex for virtual elements with application to Navier-Stokes flows
- A virtual element method for the acoustic vibration problem
- Remarks on a nonlocal problem involving the Dirichlet energy
- Recent advances in the construction of polygonal finite element interpolants
- A virtual element method for elastic and inelastic problems on polytope meshes
- The mimetic finite difference method for elliptic problems
- Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
- Mixed virtual element methods for general second order elliptic problems on polygonal meshes
- The nonconforming virtual element method
- Virtual Elements for Linear Elasticity Problems
- 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
- Basic principles of hp virtual elements on quasiuniform meshes
- Virtual element methods for parabolic problems on polygonal meshes
- Virtual element method for second-order elliptic eigenvalue problems
- Ill‐conditioning in the virtual element method: Stabilizations and bases
- A mixed virtual element method for the Navier–Stokes equations
- Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
- Virtual elements for a shear-deflection formulation of Reissner–Mindlin plates
- A mixed virtual element method for the pseudostress–velocity formulation of the Stokes problem
- Conforming and nonconforming virtual element methods for elliptic problems
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes
- A virtual element method for a nonlocal FitzHugh–Nagumo model of cardiac electrophysiology
- The Hitchhiker's Guide to the Virtual Element Method
- New perspectives on polygonal and polyhedral finite element methods
- A virtual element method for the Steklov eigenvalue problem
- Finite element approximation of nonlocal parabolic problem
- 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
- The NonConforming Virtual Element Method for the Stokes Equations
- A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations
- Virtual element method for quasilinear elliptic problems
