iteration count growth 1mesh refinement 1obstacle problem 1primal-dual active set 1signorini problem 1
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math.OC2026
Mesh-dependent iteration count growth in primal-dual active set strategies
Ioannis P. A. Papadopoulos, Michael Hintermüller, Michael Hintermüller
The paper investigates how the number of iterations required by primal‑dual active set methods grows as the mesh is refined for obstacle and Signorini problems, showing linear grow…
math.OC2026
Layerwise goal-oriented adaptivity for neural ODEs: an optimal control perspective
Michael Hintermüller, Michael Hintermüller, Michael Hinze +1
In this work, we propose a novel layerwise adaptive construction method for neural network architectures. Our approach is based on a goal--oriented dual-weighted residual technique…