activity
20062024
most citedA computational model of open-irrigated radiofrequency catheter ablation accounting for mechanical properties of the cardiac tissue

43 citations · 57 across the 6 of their papers we have counts for

collaborators

6 papers

math.NA2024

Efficient reference configuration formulation in fully nonlinear poroelastic media

Nicolás A. Barnafi, Argyrios Petras, Luca Gerardo-Giorda

Typical pipelines for model geometry generation in computational biomedicine stem from images, which are usually considered to be at rest, despite the object being in mechanical eq…

math.NA2018★ 6 cited

Numerical approximations for fractional elliptic equations via the method of semigroups

Nicole Cusimano, Félix del Teso, Luca Gerardo-Giorda

We provide a novel approach to the numerical solution of the family of nonlocal elliptic equations in , subject to some homogeneous boundary conditions $\mathcal{B}(…

math.NA2018★ 43 cited

A computational model of open-irrigated radiofrequency catheter ablation accounting for mechanical properties of the cardiac tissue

Argyrios Petras, Massimiliano Leoni, Jose M. Guerra +2

Radiofrequency catheter ablation (RFCA) is an effective treatment for cardiac arrhythmias. Although generally safe, it is not completely exempt from the risk of complications. The…

math.NA2017

Discretizations of the spectral fractional Laplacian on general domains with Dirichlet, Neumann, and Robin boundary conditions

Nicole Cusimano, Félix del Teso, Luca Gerardo-Giorda +1

In this work, we propose novel discretizations of the spectral fractional Laplacian on bounded domains based on the integral formulation of the operator via the heat-semigroup form…

math.NA2013

Parallelizing the Kolmogorov-Fokker-Planck Equation

Luca Gerardo-Giorda, Minh-Binh Tran

We design the first parallel scheme based on Schwarz waveform relaxation methods for the Kolmogorov-Fokker-Planck equation. We introduce a new convergence proof for the algorithms.…

math.NA2006★ 8 cited

Optimized Schwarz Methods for Maxwell equations

Victorita Dolean, Martin Gander, Luca Gerardo-Giorda

Over the last two decades, classical Schwarz methods have been extended to systems of hyperbolic partial differential equations, and it was observed that the classical Schwarz meth…