8 citations · 12 across the 4 of their papers we have counts for
4 papers
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…
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…
A Novel Sensor Design for a Cantilevered Mead-Marcus-type Sandwich Beam Model by the Order-reduction Technique
Ahmet Ozkan Ozer, Ahmet Kaan Aydin
A novel space-discretized Finite Differences-based model reduction, introduced in (Liu,Guo,2020) is extended to the partial differential equations (PDE) model of a multi-layer Mead…
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…