2 papers
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…
math.NA2023
A Radial Basis Function Partition of Unity Method for Steady Flow Simulations
Francisco Bernal, Ali Safdari-Vaighani, Elisabeth Larsson
A methodology is presented for the numerical solution of nonlinear elliptic systems in unbounded domains, consisting of three elements. First, the problem is posed on a finite doma…