3 papers
math.NA2026
Scale-uniform inverse inequalities for scaled kernel spaces
Davoud Mirzaei
Inverse inequalities are an important tool in the stability and convergence analysis of kernel approximation methods. In a multiscale setting, however, the trial space changes with…
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.NA2020
The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs
Davoud Mirzaei
In this paper, a new localized radial basis function (RBF) method based on partition of unity (PU) is proposed for solving boundary and initial-boundary value problems. The new met…