2 citations · 2 across the 1 of their papers we have counts for
2 papers
math.OC2021★ 2 cited
Asymptotic Properties of Monte Carlo Methods in Elliptic PDE-Constrained Optimization under Uncertainty
Werner Römisch, Thomas M. Surowiec
Monte Carlo approximations for random linear elliptic PDE constrained optimization problems are studied. We use empirical process theory to obtain best possible mean convergence ra…
math.NA2020
Computing multiple solutions of topology optimization problems
Ioannis P. A. Papadopoulos, Patrick E. Farrell, Thomas M. Surowiec
Topology optimization problems often support multiple local minima due to a lack of convexity. Typically, gradient-based techniques combined with continuation in model parameters a…