94 citations · 363 across the 22 of their papers we have counts for
22 papers
Nonnegative moment coordinates on finite element geometries
Luca Dieci, Fabio V. Difonzo, N. Sukumar
In this paper, we introduce new generalized barycentric coordinates (coined as {\em moment coordinates}) on nonconvex quadrilaterals and convex hexahedra with planar faces. This wo…
High-order finite element method for atomic structure calculations
Ondřej Čertík, John E. Pask, Isuru Fernando +5
We introduce \texttt{featom}, an open source code that implements a high-order finite element solver for the radial Schrödinger, Dirac, and Kohn-Sham equations. The formulation acc…
Stress-hybrid virtual element method on quadrilateral meshes for compressible and nearly-incompressible linear elasticity
Alvin Chen, N. Sukumar
In this paper, we propose a robust low-order stabilization-free virtual element method on quadrilateral meshes for linear elasticity that is based on the stress-hybrid principle. W…
Quantitative study of the stabilization parameter in the virtual element method
Alessandro Russo, N. Sukumar
The choice of stabilization term is a critical component of the virtual element method (VEM). However, the theory of VEM provides only asymptotic guidance for selecting the stabili…
Continuous gap contact formulation based on the screened Poisson equation
P. Areias, N. Sukumar, J. Ambrósio
We introduce a PDE-based node-to-element contact formulation as an alternative to classical, purely geometrical formulations. It is challenging to devise solutions to nonsmooth con…
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…