From the 1 of 12 linked papers with an AI index.
12 papers
Discontinuous in time Virtual Element method for Darcy equations coupled with Multi Species Transport with First Order Reaction Network
Ruben Caraballo, Franco Dassi
The paper presents a numerical scheme that combines the Virtual Element Method for spatial discretization with a discontinuous Galerkin time integrator to solve Darcy flow coupled…
Stream function -- pressure virtual element methods for the Stokes--Darcy interface problem
Franco Dassi, Rekha Khot, David Mora +2
This paper introduces a novel Virtual Element Method (VEM) for the coupled Stokes--Darcy system in primal-primal form. In the free-flow Stokes domain, we implement a stream functio…
The 3D Nonconforming Virtual Element Method with enhanced spaces: numerical investigation and implementation guide
Franco Dassi, Manuel Trezzi
In this paper, we describe the 3D Nonconforming Virtual Element Method, where the local spaces are enhanced in order to build an projection of virtual functions onto polynomi…
Conforming/Non-conforming Virtual Elements and application to elasticity problems in curved three-dimensional domains
L. Beirão da Veiga, F. Dassi, A. Russo +1
The Virtual Element Method (VEM) is a well-established framework for solving partial differential equations on polygonal and polyhedral meshes. In this paper, we introduce a novel…
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…
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…