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math.OC2025
Stabilized SQP Methods in Hilbert Spaces
Andrian Uihlein, Winnifried Wollner
Based on techniques by (S.J. Wright 1998) for finite-dimensional optimization, we investigate a stabilized sequential quadratic programming method for nonlinear optimization proble…
math.OC2025
A 140 line MATLAB code for topology optimization problems with probabilistic parameters
Andrian Uihlein, Ole Sigmund, Michael Stingl
We present an efficient 140 line MATLAB code for topology optimization problems that include probabilistic parameters. It is built from the top99neo code by Ferrari and Sigmund and…
math.OC2024
A stochastic method of moving asymptotes for topology optimization under uncertainty
Lukas Pflug, Michael Stingl, Andrian Uihlein
Topology optimization under uncertainty or reliability-based topology optimization is usually numerically very expensive. This is mainly due to the fact that an accurate evaluation…