A posteriori error analysis of a non-consistent virtual element method for reaction diffusion equations
DOI10.1016/j.aml.2021.107531OpenAlexW3183262168MaRDI QIDQ2236718
Publication date: 26 October 2021
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2021.107531
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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items (2)
Uses Software
Cites Work
- Equivalent projectors for virtual element methods
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- A posteriori error estimation and adaptive mesh-refinement techniques
- High-order virtual element method on polyhedral meshes
- The Morley-type virtual element for plate bending problems
- A posteriori error estimates for the virtual element method
- An interface-fitted mesh generator and virtual element methods for elliptic interface problems
- Some error analysis on virtual element methods
- A simple and effective gradient recovery scheme and \textit{a posteriori} error estimator for the virtual element method (VEM)
- A medius error analysis for nonconforming virtual element methods for Poisson and biharmonic equations
- A posteriori error estimation and adaptivity in \textit{hp} virtual elements
- Virtual Element Method for general second-order elliptic problems on polygonal meshes
- The nonconforming virtual element method
- Virtual Elements for Linear Elasticity Problems
- Mimetic finite differences for elliptic problems
- Virtual element methods on meshes with small edges or faces
- Stability analysis for the virtual element method
- Conforming and nonconforming virtual element methods for elliptic problems
- Anisotropic Error Estimates of the Linear Virtual Element Method on Polygonal Meshes
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Nonconforming Virtual Element Method for $2m$th Order Partial Differential Equations in $\mathbb {R}^n$
- Superconvergent gradient recovery for virtual element methods
- A residual a posteriori error estimate for the Virtual Element Method
- A Non-Consistent Virtual Element Method for Reaction Diffusion Equations
- The Hitchhiker's Guide to the Virtual Element Method
- Residuala posteriorierror estimation for the Virtual Element Method for elliptic problems
This page was built for publication: A posteriori error analysis of a non-consistent virtual element method for reaction diffusion equations