94 citations · 363 across the 22 of their papers we have counts for
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math.NA2021★ 2 cited
Extended virtual element method for two-dimensional linear elastic fracture
Elena Benvenuti, Andrea Chiozzi, Gianmarco Manzini +1
In this paper, we propose an eXtended Virtual Element Method (X-VEM) for two-dimensional linear elastic fracture. This approach, which is an extension of the standard Virtual Eleme…
math.NA2021
Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations
N. Sukumar, Michael R. Tupek
In this paper, we use the first-order virtual element method (VEM) to investigate the effect of shape quality of polyhedra in the estimation of the critical time step for explicit…
math.NA2021★ 24 cited
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks
N. Sukumar, Ankit Srivastava
In this paper, we introduce a new approach based on distance fields to exactly impose boundary conditions in physics-informed deep neural networks. The challenges in satisfying Dir…