18 citations · 91 across the 21 of their papers we have counts for
6 papers · 2 filters
-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration
Paola F. Antonietti, Simone Scacchi, Giuseppe Vacca +1
We consider the -Virtual Element Method (VEM) for the conforming numerical approximation of some variants of the Cahn-Hilliard equation on polygonal meshes. In particular, we…
On arbitrarily regular conforming virtual element methods for elliptic partial differential equations
Paola Francesca Antonietti, Gianmarco Manzini, Simone Scacchi +1
The Virtual Element Method (VEM) is a very effective framework to design numerical approximations with high global regularity to the solutions of elliptic partial differential equa…
Myocardial ischemic effects on cardiac electro-mechanical activity
B. V. Rathish Kumar, Meena Pargaei, Luca F. Pavarino +1
In this work, we investigated the effect of varying strength of Hyperkalemia and Hypoxia, in human cardiac tissue with a local ischemic subregion, on the electrical and mechanical…
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…
The conforming virtual element method for polyharmonic and elastodynamics problems: a review
Paola Francesca Antonietti, Gianmarco Manzini, Ilario Mazzieri +2
In this paper, we review recent results on the conforming virtual element approximation of polyharmonic and elastodynamics problems. The structure and the content of this review is…
Parallel Newton-Krylov-BDDC and FETI-DP deluxe solvers for implicit time discretizations of the cardiac Bidomain equations
Ngoc Mai Monica Huynh, Luca Franco Pavarino, Simone Scacchi
Two novel parallel Newton-Krylov Balancing Domain Decomposition by Constraints (BDDC) and Dual-Primal Finite Element Tearing and Interconnecting (FETI-DP) solvers are here construc…