3 papers
math.NA2026
A Mean-Informed Low-Rank Monolithic Stochastic Galerkin Solver for the Unsteady Navier-Stokes Equations
Ahmet Kaan Aydin, Bedřich Sousedík
We study a low-rank solver for the stochastic unsteady incompressible Navier--Stokes equations with uncertain viscosity. The problem is discretized by a stochastic Galerkin method…
math.NA2025
Robust Model Reductions for the Boundary Feedback Stabilization of Magnetizable Piezoelectric Beams
Ahmet Kaan Aydin, Ahmet Ozkan Ozer, Jacob Walterman
Magnetizable piezoelectric beams exhibit strong couplings between mechanical, electric, and magnetic fields, significantly affecting their high-frequency vibrational behavior. Ensu…
math.OC2024
Exponential Stability and Design of Sensor Feedback Amplifiers for Fast Stabilization of Magnetizable Piezoelectric Beam Equations
Ahmet Ozkan Ozer, Ahmet Kaan Aydin, Rafi Emran
The dynamic partial differential equation (PDE) model governing longitudinal oscillations in magnetizable piezoelectric beams exhibits exponentially stable solutions when subjected…