Showing math.NAShow all
2 papers · 1 filter
math.NA2024
Stability estimates for radial basis function methods applied to linear scalar conservation laws
Igor Tominec, Murtazo Nazarov, Elisabeth Larsson
We derive stability estimates for three commonly used radial basis function (RBF) methods to solve hyperbolic time-dependent PDEs: the RBF generated finite difference (RBF-FD) meth…
math.NA2024
An RBF partition of unity method for geometry reconstruction and PDE solution in thin structures
Elisabeth Larsson, Pierre-Frédéric Villard, Igor Tominec +3
The main respiratory muscle, the diaphragm, is an example of a thin structure. We aim to perform detailed numerical simulations of the muscle mechanics based on individual patient…