2 papers
math.NA2026
The least squares RBF-PU method for linear elasticity in the diaphragm geometry
Andreas Michael, Elisabeth Larsson, Pierre-Frédéric Villard +1
The human diaphragm is vital for respiration and its simulation can aid in further understanding complications arising in individuals that have been subjected to mechanical ventila…
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…