13 citations · 56 across the 17 of their papers we have counts for
9 papers · 1 filter
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…
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…
A computational study of preconditioning techniques for the stochastic diffusion equation with lognormal coefficient
Eugenio Aulisa, Giacomo Capodaglio, Guoyi Ke
We present a computational study of several preconditioning techniques for the GMRES algorithm applied to the stochastic diffusion equation with a lognormal coefficient discretized…
A field-split preconditioning technique for fluid-structure interaction problems with applications in biomechanics
Sara Calandrini, Eugenio Aulisa, Guoyi Ke
We present a novel preconditioning technique for Krylov subspace algorithms to solve fluid-structure interaction (FSI) linearized systems arising from finite element discretization…
Computational p-Willmore Flow with Conformal Penalty
Anthony Gruber, Eugenio Aulisa
The unsigned p-Willmore functional introduced in \cite{mondino2011} generalizes important geometric functionals which measure the area and Willmore energy of immersed surfaces. Pre…
Fluid-structure interaction simulations of venous valves: a monolithic ALE method for large structural displacements
Sara Calandrini, Eugenio Aulisa
Venous valves are bicuspidal valves that ensure that blood in veins only flows back to the heart. To prevent retrograde blood flow, the two intraluminal leaflets meet in the center…