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20212025
most citedTopology Optimization of Broadband Acoustic Transition Section: A Comparison between Deterministic and Stochastic Approaches

1 citations · 3 across the 7 of their papers we have counts for

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7 papers

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…

math.OC2023

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.OC2023★ 1 cited

Topology Optimization of Broadband Acoustic Transition Section: A Comparison between Deterministic and Stochastic Approaches

Abbas Mousavi, Andrian Uihlein, Lukas Pflug +1

This paper focuses on the topology optimization of a broadband acoustic transition section that connects two cylindrical waveguides with different radii. The primary objective is t…

math.OC2023★ 1 cited

The Continuous Stochastic Gradient Method: Part II -- Application and Numerics

Max Grieshammer, Lukas Pflug, Michael Stingl +1

In this contribution, we present a numerical analysis of the continuous stochastic gradient (CSG) method, including applications from topology optimization and convergence rates. I…

math.OC2022★ 1 cited

The Continuous Stochastic Gradient Method: Part I -- Convergence Theory

Max Grieshammer, Lukas Pflug, Michael Stingl +1

In this contribution, we present a full overview of the continuous stochastic gradient (CSG) method, including convergence results, step size rules and algorithmic insights. We con…

math.OC2021

CSG: A stochastic gradient method for a wide class of optimization problems appearing in a machine learning or data-driven context

Lukas Pflug, Max Grieshammer, Andrian Uihlein +1

A recent article introduced thecontinuous stochastic gradient method (CSG) for the efficient solution of a class of stochastic optimization problems. While the applicability of kno…