3 papers
math.NA2026
Overlapping Domain Decomposition for Meshless Finite Difference Methods
Alexander Westermann, Oleg Davydov, Stefan Turek
Schwarz type domain decomposition methods generally require a partition of unity to combine solutions on subdomains. However, in mesh-based methods it is common to organize subdoma…
math.NA2025
Meshless moment-free quadrature formulas arising from numerical differentiation
Oleg Davydov, Bruno Degli Esposti
We suggest a method for simultaneously generating high order quadrature weights for integrals over Lipschitz domains and their boundaries that requires neither meshing nor moment c…
math.NA2025
A positive meshless finite difference scheme for scalar conservation laws with adaptive artificial viscosity driven by fault detection
Cesare Bracco, Oleg Davydov, Carlotta Giannelli +1
We present a meshless finite difference method for multivariate scalar conservation laws that generates positive schemes satisfying a local maximum principle on irregular nodes and…