2 papers
math.NA2022
A stabilized local integral method using RBFs for the Helmholtz equation with applications to wave chaos and dielectric microresonators
L. Ponzellini Marinelli, L. Raviola
Most problems in electrodynamics do not have an analytical solution so much effort has been put in the development of numerical schemes, such as the finite-difference method, volum…
math.NA2018
Numerical Stability on Local Integral Methods using RBF-QR
Luciano Ponzellini Marinelli, Nahuel Caruso, Margarita Portapila
Many local integral methods are based on an integral formulation over small and heavilly overlapping stencils with local RBF interpolations. These functions have become an extremel…