most citedOn optimization of heterogeneous materials for enhanced resistance to bulk fracture

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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 nonlocal approach to graded surface modeling in topology optimization

Sukhminder Singh, Lukas Pflug, Fabian Wein +1

Additively manufactured structures often exhibit a correlation between their mechanical properties, such as stiffness, strength, and porosity, and their wall thickness. This correl…

math.OC2023

Quality Control in Particle Precipitation via Robust Optimization

Martina Kuchlbauer, Jana Dienstbier, Adeel Muneer +4

In this work, we propose a robust optimization approach to mitigate the impact of uncertainties in particle precipitation. Our model incorporates partial differential equations, mo…

math.OC20231 cited

On optimization of heterogeneous materials for enhanced resistance to bulk fracture

Sukhminder Singh, Lukas Pflug, Julia Mergheim +1

We propose a novel approach to optimize the design of heterogeneous materials, with the goal of enhancing their effective fracture toughness under mode-I loading. The method employ…

math.OC20231 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…