3 papers
math.NA2026
Data-driven model order reduction for wave propagation in materials with damage and nonlinearities
Saddam Hijazi, Nikiema Fulgence, Hannah Burmester +2
In this work, we consider wave propagation in materials characterized by nonlinear properties or damage. To accelerate the simulations of the resulting high-dimensional problems, w…
math.NA2026
A-priori error estimation for space-time Galerkin POD for linear evolution problems
Carmen GräÃle, Jan Heiland, Jannis Marquardt
In this paper, we propose an a-priori error estimate for the model order reduction (MOR) method of space-time proper orthogonal decomposition (space-time POD). The original space-t…
math.OC2024
A time adaptive optimal control approach for 4D-var data assimilation problems governed by parabolic PDEs
Carmen GräÃle, Jannis Marquardt
We interpret the 4D-var data assimilation problem for a parabolic partial differential equation (PDE) in the context of optimal control and revisit the process of deriving optimali…