13 citations · 56 across the 17 of their papers we have counts for
19 papers
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…
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…
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…
Tumor ablation due to inhomogeneous -- anisotropic diffusion in generic 3-dimensional topologies
Erdi Kara, Aminur Rahman, Eugenio Aulisa +1
We derive a full 3-dimensional (3-D) model of inhomogeneous -- anisotropic diffusion in a tumor region coupled to a binary population model. The diffusion tensors are acquired usin…
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…