Solving nonlinear elliptic PDEs in 2D and 3D using polyharmonic splines and low-degree of polynomials

K Rubasinghe, G Yao, W Li… - International Journal of …, 2023 - World Scientific
In this paper, the improved localized method of approximated particular solutions (ILMAPS)
using polyharmonic splines (PHS) together with a low-degree of polynomial basis is used to …

Stabilizing radial basis functions techniques for a local boundary integral method

L Ponzellini Marinelli - 2023 - repositorio.uca.edu.ar
Radial basis functions (RBFs) have been gaining popularity recently in the development of
methods for solving partial differential equations (PDEs) numerically. These functions have …

Stabilizing radial basis functions techniques for a local boundary integral method

LP Marinelli - Revista de la Unión Matemática Argentina, 2023 - revistas.uns.edu.ar
Radial basis functions (RBFs) have been gaining popularity recently in the development of
methods for solving partial differential equations (PDEs) numerically. These functions have …