A Numerical Study of Combining RBF Interpolation and Finite Differences to Approximate Differential Operators
arXiv:2505.14232 · doi:10.1109/MIPRO65660.2025.11132052
Abstract
This paper focuses on RBF-based meshless methods for approximating differential operators, one of the most popular being RBF-FD. Recently, a hybrid approach was introduced that combines RBF interpolation and traditional finite difference stencils. We compare the accuracy of this method and RBF-FD on a two-dimensional Poisson problem for standard five-point and nine-point stencils and different method parameters.
MIPRO 2025 Conference paper, preprint, 6 pages, 7 figures