Higher-order adaptive virtual element methods with contraction properties
type: Item
instance of: scholarly article
title: Higher-order adaptive virtual element methods with contraction properties
zbMATH Open document ID: 1545.65424
author: C. Canuto
author: Davide Fassino
published in: Mathematics in Engineering
publication date: 2024-07-30T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N85
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 7889297
zbMATH Keywords: diffusion-reaction problems
zbMATH Keywords: virtual element methods
zbMATH Keywords: global index of a hanging node
zbMATH Keywords: a posteriori error analysis
zbMATH Keywords: stabilization-free estimator
zbMATH Keywords: adaptivity
zbMATH Keywords: contraction property
zbMATH Keywords: convergence
MaRDI profile type: Publication
cites work: Equivalent projectors for virtual element methods
cites work: Machine learning based refinement strategies for polyhedral grids with applications to virtual element and polyhedral discontinuous Galerkin methods
cites work: BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
cites work: The Hitchhiker's Guide to the Virtual Element Method
cites work: Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property
cites work: Stability analysis for the virtual element method
cites work: Residuala posteriorierror estimation for the Virtual Element Method for elliptic problems
cites work: Adaptive finite element methods with convergence rates
cites work: A posteriori error estimates for the virtual element method
cites work: Axioms of adaptivity
cites work: Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
cites work: A Convergent Adaptive Algorithm for Poisson’s Equation
cites work: Approximation classes for adaptive higher order finite element approximation
cites work: Multiscale and adaptivity: Modeling, numerics and applications. C.I.M.E. summer school, Cetraro, Italy, July 6--11, 2009
DOI: 10.3934/MINE.2023101
description: scientific article; zbMATH DE number 7889297