3 papers
math.NA2026
Goal-oriented space-time adaptivity for the Navier--Stokes equations based on the dual weighted residual method
Marius Paul Bruchhäuser, Nils Margenberg, Markus Bause
This work presents a goal-oriented a posteriori error estimator based on the Dual Weighted Residual (DWR) method together with space-time mesh adaptivity for the Navier--Stokes equ…
math.NA2026
A robust and stable hybrid neural network/finite element method for 2D flows that generalizes to different geometries
Robert Jendersie, Nils Margenberg, Christian Lessig +1
The deep neural network multigrid solver (DNN-MG) combines a coarse-grid finite element simulation with a deep neural network that corrects the solution on finer grid levels, there…
math.NA2025
A Hybrid Neural Network-Finite Element Method for the Viscous-Plastic Sea-Ice Model
Nils Margenberg, Carolin Mehlmann
We present an efficient hybrid Neural Network-Finite Element Method (NN-FEM) for solving the viscous-plastic (VP) sea-ice model. The VP model is widely used in climate simulations…