39 citations · 104 across the 28 of their papers we have counts for
4 papers · 1 filter
-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…
Bend 3d Mixed Virtual Element Method for Elliptic Problems
Franco Dassi, Alessio Fumagalli, Anna Scotti +1
In this study, we propose a virtual element scheme to solve the Darcy problem in three physical dimensions. The main novelty, here proposed, is that curved elements are naturally h…
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property
L. Beirao da Veiga, C. Canuto, R. H. Nochetto +2
In the present paper we initiate the challenging task of building a mathematically sound theory for Adaptive Virtual Element Methods (AVEMs). Among the realm of polygonal meshes, w…
A Virtual Element Method for the wave equation on curved edges in two dimensions
Franco Dassi, Alessio Fumagalli, Ilario Mazzieri +2
In this work we present an extension of the Virtual Element Method with curved edges for the numerical approximation of the second order wave equation in a bidimensional setting. C…