74 citations · 207 across the 6 of their papers we have counts for
6 papers
A Meshfree RBF-FD Constant along Normal Method for Solving PDEs on Surfaces
Víctor Bayona, Argyrios Petras, Cécile Piret +1
This paper introduces a novel meshfree methodology based on Radial Basis Function-Finite Difference (RBF-FD) approximations for the numerical solution of partial differential equat…
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…
PDEs on moving surfaces via the closest point method and a modified grid based particle method
A. Petras, S. J. Ruuth
Partial differential equations (PDEs) on surfaces arise in a wide range of applications. The closest point method (Ruuth and Merriman, J. Comput. Phys. 227(3):1943-1961, [2008]) is…
A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces
A. Petras, L. Ling, C. Piret +1
The closest point method (Ruuth and Merriman, J. Comput. Phys. 227(3):1943-1961, [2008]) is an embedding method developed to solve a variety of partial differential equations (PDEs…
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…
An RBF-FD closest point method for solving PDEs on surfaces
Argyrios Petras, Leevan Ling, Steven J. Ruuth
Partial differential equations (PDEs) on surfaces appear in many applications throughout the natural and applied sciences. The classical closest point method (Ruuth and Merriman, J…