4 papers
Data assimilation via model reference adaptation for linear and nonlinear dynamical systems
Benedikt Kaltenbach, Christian Aarset, Tram Thi Ngoc Nguyen
We address data assimilation for linear and nonlinear dynamical systems via the so-called model reference adaptive system. Continuing our theoretical developments, we deliver the f…
Determination of active forces in actomyosin systems as inverse source problems for the Stokes equation
Emily Klass, Tram Thi Ngoc Nguyen, Nilay Cicek +4
The identification of forces and stresses is a central task in biophysics research: Knowledge on forces is key to understanding dynamic processes in active biological systems that…
FEM-based A-optimal sensor placement for heat source inversion from final time measurement
Christian Aarset, Tram Thi Ngoc Nguyen
Within the field of optimal experimental design, \emph{sensor placement} refers to the act of finding the optimal locations of data collecting sensors, with the aim to optimise rec…
Bi-level regularization via iterative mesh refinement for aeroacoustics
Christian Aarset, Tram Thi Ngoc Nguyen
In this work, we illustrate the connection between adaptive mesh refinement for finite element discretized PDEs and the recently developed \emph{bi-level regularization algorithm}.…