13 citations · 56 across the 17 of their papers we have counts for
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math.NA2021
Exact Subdomain and Embedded Interface Polynomial Integration in Finite Elements with Planar Cuts
Eugenio Aulisa, Jonathon Loftin
The implementation of discontinuous functions occurs in many of today's state-of-the-art partial differential equation solvers. However, in finite element methods, this poses an in…
math.OC2021
Approximation Methods for Geometric Regulation
Eugenio Aulisa, David S. Gilliam
In these notes we collect some results from several of the authors' works in order to make available a single source and show how the approximate geometric methods for regulation h…
math.NA2021★ 9 cited
Efficient quadrature rules for finite element discretizations of nonlocal equations
Eugenio Aulisa, Giacomo Capodaglio, Andrea Chierici +1
In this paper we design efficient quadrature rules for finite element discretizations of nonlocal diffusion problems with compactly supported kernel functions. Two of the main chal…