3 papers
math.NA2026
A nonconforming method for a generalized Darcy-Forchheimer model
Michele Botti, Lorenzo Mascotto, Marialetizia Mosconi
We analyze a dual mixed nonconforming discretization of a generalized Darcy-Forchheimer model. Compared to the analogous scheme proposed by Girault and Wheeler, we consider general…
math.NA2025
Generalised gradients for virtual elements and applications to a posteriori error analysis
Théophile Chaumont-Frelet, Joscha Gedicke, Lorenzo Mascotto
We rewrite the standard nodal virtual element method as a generalised gradient method. This re-formulation allows for computing a reliable and efficient error estimator by locally…
math.NA2025
Adaptive virtual elements based on hybridized, reliable, and efficient flux reconstructions
F. Dassi, J. Gedicke, L. Mascotto
We present two a posteriori error estimators for the virtual element method (VEM) based on global and local flux reconstruction in the spirit of [5]. The proposed error estimators…