37 citations · 41 across the 10 of their papers we have counts for
16 papers
A fourth-order phase-field fracture model: Formulation and numerical solution using a continuous/discontinuous Galerkin method
Lampros Svolos, Hashem M. Mourad, Gianmarco Manzini +1
Modeling crack initiation and propagation in brittle materials is of great importance to be able to predict sudden loss of load-carrying capacity and prevent catastrophic failure u…
Virtual element approximation of two-dimensional parabolic variational inequalities
Dibyendu Adak, Gianmarco Manzini, Sundararajan Natarajan
We design a virtual element method for the numerical treatment of the two-dimensional parabolic variational inequality problem on unstructured polygonal meshes. Due to the expected…
Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces
Elena Bachini, Gianmarco Manzini, Mario Putti
We develop a geometrically intrinsic formulation of the arbitrary-order Virtual Element Method (VEM) on polygonal cells for the numerical solution of elliptic surface partial diffe…
The virtual element method for the coupled system of magneto-hydrodynamics
Sebastian Naranjo-Alvarez, Vrushali Bokil, Vitaliy Gyrya +1
In this work, we review the framework of the Virtual Element Method (VEM) for a model in magneto-hydrodynamics (MHD), that incorporates a coupling between electromagnetics and flui…
A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations
Paola Francesca Antonietti, Gianmarco Manzini, Simone Scacchi +1
The Virtual Element Method is well suited to the formulation of arbitrarily regular Galerkin approximations of elliptic partial differential equations of order , for any inte…
A decision-making machine learning approach in Hermite spectral approximations of partial differential equations
Lorella Fatone, Daniele Funaro, Gianmarco Manzini
The accuracy and effectiveness of Hermite spectral methods for the numerical discretization of partial differential equations on unbounded domains, are strongly affected by the amp…