3 papers
math.NA2025
A posteriori error estimates for a virtual element method applied to the thin plate vibration problem
Franco Dassi, Andres E. Rubiano, Iván Velásquez
We propose and analyse residual-based a posteriori error estimates for the virtual element discretisation applied to the thin plate vibration problem in both two and three dimensio…
math.NA2022
A virtual element method on polyhedral meshes for the sixth-order elliptic problem
Franco Dassi, David Mora, Carlos Reales +1
In this work we analyze a virtual element method on polyhedral meshes for solving the sixth-order elliptic problem with simply supported boundary conditions. We apply the Ciarlet-R…
math.NA2022
A posteriori virtual element method for the acoustic vibration problem
Felipe Lepe, David Mora, Gonzalo Rivera +1
In two dimensions, we propose and analyze an a posteriori error estimator for the acoustic spectral problem based on the virtual element method in . Introducing an auxilia…