A residual a posteriori error estimate for the stabilization-free virtual element method
Abstract
In this work, we present the a posteriori error analysis of Stabilization-Free Virtual Element Methods for the 2D Poisson equation. The absence of a stabilizing bilinear form in the scheme allows to prove the equivalence between a suitably defined error measure and standard residual error estimators, which is not obtained in general for stabilized virtual elements. Several numerical experiments are carried out, confirming the expected behaviour of the estimator in the presence of different mesh types, and robustness with respect to jumps of the diffusion term.
Fields of Study & Subjects
Advanced Numerical Methods in Computational Mathematics
Matrix Theory and Algorithms
Numerical methods for differential equations
Publication details
- Journal / source
- Journal of Computational Physics
- Publisher
- Elsevier BV
- Volume
- 553
- Pages
- 114704–114704
- Publication date
- 29 January 2026
- Language
- EN