The Virtual Element Method with curved edges [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2018 In this paper we initiate the investigation of Virtual Elements with curved faces. We consider the case of a fixed curved boundary in two dimensions, as it happens in the approximation of problems posed on a curved domain or with a curved interface ...
da Veiga, L. Beirão +2 more
core +6 more sources
Dual virtual element method for discrete fractures networks [PDF]
SIAM Journal on Scientific Computing, 2017 Discrete fracture networks is a key ingredient in the simulation of physical processes which involve fluid flow in the underground, when the surrounding rock matrix is considered impervious.
Fumagalli, Alessio, Keilegavlen, Eirik
core +9 more sources
The nonconforming virtual element method for eigenvalue problems [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2018 We analyse the nonconforming Virtual Element Method (VEM) for the approximation of elliptic eigenvalue problems. The nonconforming VEM allow to treat in the same formulation the two- and three-dimensional case.We present two possible formulations of the ...
Gardini, Francesca +2 more
core +5 more sources
DEM investigation of the influence of particulate properties and operating conditions on the mixing process in rotary drums: Part 1-Determination of the DEM parameters and calibration process [PDF]
, 2020 This paper's goal was to select methods and a calibration procedure which would lead to the determination of relevant parameters of a discrete element method (DEM) and virtual material creation.
Hlosta, Jakub +5 more
core +1 more source
A virtual element method for the vibration problem of Kirchhoff plates [PDF]
, 2017 The aim of this paper is to develop a virtual element method (VEM) for the vibration problem of thin plates on polygonal meshes. We consider a variational formulation relying only on the transverse displacement of the plate and propose an $H^2(\Omega ...
Mora, David +2 more
core +2 more sources
Virtual Element Methods for hyperbolic problems on polygonal meshes [PDF]
, 2016 In the present paper we develop the Virtual Element Method for hyperbolic problems on polygonal meshes, considering the linear wave equations as our model problem. After presenting the semi-discrete scheme, we derive the convergence estimates in H^1 semi-
Vacca, Giuseppe
core +1 more source
A Plane Wave Virtual Element Method for the Helmholtz Problem [PDF]
, 2015 We introduce and analyze a virtual element method (VEM) for the Helmholtz problem with approximating spaces made of products of low order VEM functions and plane waves. We restrict ourselves to the 2D Helmholtz equation with impedance boundary conditions
Perugia, Ilaria +2 more
core +2 more sources
On the Virtual Element Method for Topology Optimization on polygonal meshes: a numerical study [PDF]
, 2016 It is well known that the solution of topology optimization problems may be affected both by the geometric properties of the computational mesh, which can steer the minimization process towards local (and non-physical) minima, and by the accuracy of the ...
Antonietti, Paola F. +3 more
core +2 more sources
A Dual Hybrid Virtual Element Method for Plane Elasticity Problems
, 2019 A dual hybrid Virtual Element scheme for plane linear elastic problems is presented and analysed. In particular, stability and convergence results have been established.
Artioli, Edoardo +3 more
core +1 more source
Dual virtual element method in presence of an inclusion
, 2017 We consider a Darcy problem for saturated porous media written in dual formulation in presence of a fully immersed inclusion. The lowest order virtual element method is employ to derive the discrete approximation.
Fumagalli, Alessio
core +1 more source