Unisolvence of Kansa collocation for elliptic equations by polyharmonic splines with random fictitious centers
Numerical Analysis
2024-10-07 v1 Numerical Analysis
Analysis of PDEs
Abstract
We make a further step in the unisolvence open problem for unsymmetric Kansa collocation, proving nonsingularity of Kansa matrices with polyharmonic splines and random fictitious centers, for second-order elliptic equations with mixed boundary conditions. We also show some numerical tests, where the fictitious centers are local random perturbations of predetermined collocation points.
Keywords
Cite
@article{arxiv.2410.03279,
title = {Unisolvence of Kansa collocation for elliptic equations by polyharmonic splines with random fictitious centers},
author = {Maryam Mohammadi and Alvise Sommariva and Marco Vianello},
journal= {arXiv preprint arXiv:2410.03279},
year = {2024}
}