2 citations · 4 across the 11 of their papers we have counts for
Showing 2026Show all
3 papers · 1 filter
math.NA2026
Numerical analysis of data assimilation for slightly compressible flow
Aytekin Çıbık, Rui Fang
Continuous data assimilation improves flow predictions by continually nudging a model toward available observational data. For slightly compressible flow, a recent model addresses…
physics.flu-dyn2026
An Artificial-Compressibility Physics-Informed Neural Network for the Unsteady Incompressible Navier--Stokes Equations
Aytekin Çibik
We study a physics-informed neural network (PINN) for the unsteady, two-dimensional incompressible Navier--Stokes equations in which the stiff divergence-free constraint is replace…
math.NA2026
Data assimilation for slightly compressible flow
Aytekin Çıbık, Rui Fang
Continuous data assimilation (CDA) nudges observational data into governing equations to recover the underlying flow and improve predictions. Existing rigorous CDA analyses focus p…