39 citations · 104 across the 28 of their papers we have counts for
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3 papers · 1 filter
math.NA2017★ 5 cited
The Virtual Element Method with curved edges
L. Beirão da Veiga, A. Russo, G. Vacca
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 approxima…
math.NA2017★ 7 cited
Virtual Elements for the Navier-Stokes problem on polygonal meshes
L. Beirão da Veiga, C. Lovadina, G. Vacca
A family of Virtual Element Methods for the 2D Navier-Stokes equations is proposed and analysed. The schemes provide a discrete velocity field which is point-wise divergence-free.…
math.NA2017
An H^1-conforming Virtual Element Method for Darcy equations and Brinkman equations
Giuseppe Vacca
The focus of the present paper is on developing a Virtual Element Method for Darcy and Brinkman equations. In [15] we presented a family of Virtual Elements for Stokes equations an…