5 papers
A posteriori analysis of a virtual element approach on polytopal meshes for the buckling eigenvalue problem
Franco Dassi, Andres E Rubiano, Iván Velásquez
We introduce a novel residual-based a posteriori error estimator for the conforming Virtual Element Method (VEM) applied to the buckling eigenvalue problem, incorporating non…
Analysis and virtual element discretisation of a Stokes/Biot--Kirchhoff bulk--surface model
Franco Dassi, Rekha Khot, Andres E. Rubiano +1
We analyse a coupled 3D-2D model with a free fluid governed by Stokes flow in the bulk and a poroelastic plate described by the Biot-Kirchhoff equations on the surface. Assuming th…
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…
A posteriori error analysis of a robust virtual element method for stress-assisted diffusion problems
Franco Dassi, Rekha Khot, Andres E. Rubiano +1
We develop and analyse residual-based a posteriori error estimates for the virtual element discretisation of a nonlinear stress-assisted diffusion problem in two and three dimensio…
Robust virtual element methods for 3D stress-assisted diffusion problems
Andres E. Rubiano
This paper presents an initial exploration of stress-assisted diffusion problems in three dimensions within the framework of the virtual element method (VEM). Hilbert spaces enrich…