286 citations · 540 across the 16 of their papers we have counts for
3 papers · 1 filter
Serendipity Nodal VEM spaces
L. Beirao da Veiga, F. Brezzi, L. D. Marini +1
We introduce a new variant of Nodal Virtual Element spaces that mimics the "Serendipity Finite Element Methods" (whose most popular example is the 8-node quadrilateral) and allows…
Basic principles of hp Virtual Elements on quasiuniform meshes
L. Beirão da Veiga, A. Chernov, L. Mascotto +1
In the present paper we initiate the study of Virtual Elements. We focus on the case with uniform polynomial degree across the mesh and derive theoretical convergence estimate…
A Virtual Element Method for elastic and inelastic problems on polytope meshes
L. Beirão da Veiga, C. Lovadina, D. Mora
We present a Virtual Element Method (VEM) for possibly nonlinear elastic and inelastic problems, mainly focusing on a small deformation regime. The numerical scheme is based on a l…