94 citations · 363 across the 22 of their papers we have counts for
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Stabilization-free serendipity virtual element method for plane elasticity
Alvin Chen, N. Sukumar
We present a higher order stabilization-free virtual element method applied to plane elasticity problems. We utilize a serendipity approach to reduce the total number of degrees of…
Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks
S. Berrone, C. Canuto, M. Pintore +1
In this paper, we present and compare four methods to enforce Dirichlet boundary conditions in Physics-Informed Neural Networks (PINNs) and Variational Physics-Informed Neural Netw…
Virtual element method for modeling the deformation of multiphase composites
N. Sukumar, John E. Bolander
In this paper, we study applications of the virtual element method (VEM) for simulating the deformation of multiphase composites. The VEM is a Galerkin approach that is applicable…
Stabilization-free virtual element method for plane elasticity
Alvin Chen, N. Sukumar
We present the construction and application of a first order stabilization-free virtual element method to problems in plane elasticity. Well-posedness and error estimates of the di…