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The topological derivative represents the sensitivity of a domain-dependent functional with respect to a local perturbation of the domain and is a valuable tool in topology optimization. Motivated by an application from electrical…

Optimization and Control · Mathematics 2020-01-24 Peter Gangl , Samuel Amstutz

Designing high-performance electric machines that maintain their efficiency and reliability under uncertain material and operating conditions is crucial for industrial applications. In this paper, we present a novel framework for robust…

Optimization and Control · Mathematics 2025-04-08 Peter Gangl , Theodor Komann , Nepomuk Krenn , Stefan Ulbrich

This paper provides an orientation angle optimization method for the design of fiber-reinforced composite materials using topology optimization. The orientation angle optimization is based on a topological derivative, which measures the…

Computational Engineering, Finance, and Science · Computer Science 2023-06-21 Masaki Noda , Kei Matsushima , Takayuki Yamada

We consider a 2d permanent magnet synchronous machine operating in a sequence of static operating points coming from a drive cycle. We aim to find a rotor design which maximizes the efficiency defined as the quotient of input and output…

Optimization and Control · Mathematics 2026-04-01 Nepomuk Krenn , Théodore Cherrière , Sebastian Schöps , Peter Gangl

Topology optimization (TO) is a method of deriving an optimal design that satisfies a given load and boundary conditions within a design domain. This method enables effective design without initial design, but has been limited in use due to…

Machine Learning · Computer Science 2023-06-06 Seungyeon Shin , Dongju Shin , Namwoo Kang

In this note, we propose a formal framework accounting for the sensitivity of a function of the domain with respect to the addition of a thin ligament. To set ideas, we consider the model setting of elastic structures, and we approximate…

Optimization and Control · Mathematics 2019-12-30 Charles Dapogny

A topology optimization method is presented for the design of periodic microstructured materials with prescribed homogenized nonlinear constitutive properties over finite strain ranges. The mechanical model assumes linear elastic isotropic…

Computational Engineering, Finance, and Science · Computer Science 2020-05-20 Reza Behrou , Maroun Abi Ghanem , Brianna C. Macnider , Vimarsh Verma , Ryan Alvey , Jinho Hong , Ashley F. Emery , Hyunsun Alicia Kim , Nicholas Boechler

Topology optimization is used to systematically design contact-aided thermo-mechanical regulators, i.e. components whose effective thermal conductivity is tunable by mechanical deformation and contact. The thermo-mechanical interactions are…

Computational Engineering, Finance, and Science · Computer Science 2024-06-04 Anna Dalklint , Joe Alexandersen , Andreas Henrik Frederiksen , Konstantinos Poulios , Ole Sigmund

A method evaluating the sensitivity of a given parameter to topological changes is proposed within the method of moments paradigm. The basis functions are used as degrees of freedom which, when compared to the classical pixeling technique,…

Computational Physics · Physics 2019-03-07 Miloslav Capek , Lukas Jelinek , Mats Gustafsson

We introduce a unified sensitivity concept for shape and topological perturbations and perform the sensitivity analysis for a discretized PDE-constrained design optimization problem in two space dimensions. We assume that the design is…

Optimization and Control · Mathematics 2026-04-01 Peter Gangl , Michael H. Gfrerer

This paper demonstrates the computational design of soft elastomeric pneumatic actuators using nonlinear topology optimization. An existing density- and porohyperelasticity-based topology optimization framework was extended from 2D to 3D…

Robotics · Computer Science 2026-05-20 Sumit Mehta , Konstantinos Poulios

This work presents a novel algorithm for progressively adapting neural network architecture along the depth. In particular, we attempt to address the following questions in a mathematically principled way: i) Where to add a new capacity…

Machine Learning · Computer Science 2026-03-03 C G Krishnanunni , Tan Bui-Thanh , Clint Dawson

We investigate a fixed domain approach in shape optimization, using a regularization of the Heaviside function both in the cost functional and in the state system. We consider the compliance minimization problem in linear elasticity, a well…

Optimization and Control · Mathematics 2020-04-07 Cornel Marius Murea , Dan Tiba

In this paper, a new computational framework based on the topology derivative concept is presented for evaluating stochastic topological sensitivities of complex systems. The proposed framework, designed for dealing with high dimensional…

Computational Engineering, Finance, and Science · Computer Science 2020-09-16 Xuchun Ren

Reinforcement learning (RL) has shown great potential for designing voltage control policies, but their performance often degrades under changing system conditions such as topology reconfigurations and load variations. We introduce a…

Systems and Control · Electrical Eng. & Systems 2026-02-12 Jie Feng , Yuanyuan Shi , Deepjyoti Deka

This paper presents an adjoint-assisted, topology-optimization-inspired approach for analyzing topological sensitivities in fluid domains based on porous media formulations -- without directly utilizing the porosity field as a design…

Fluid Dynamics · Physics 2025-05-09 Niklas Kühl

Topology optimization (TO) has experienced a dramatic development over the last decades aided by the arising of metamaterials and additive manufacturing (AM) techniques, and it is intended to achieve the current and future challenges. In…

A density-based topology optimization framework is developed to manipulate characteristic modes of conducting surfaces. The adjoint sensitivity analysis provides an efficient computation of the material gradient utilized by the local…

Optimization and Control · Mathematics 2025-02-07 Jonas Tucek , Miloslav Capek , Lukas Jelinek

This paper focuses on the application of the variance-based global sensitivity analysis for a topology derivative method in order to solve a stochastic nonlinear time-dependent magnetoquasistatic interface problem. To illustrate the…

Applied Physics · Physics 2018-07-04 Piotr A. Putek , E. Jan. W. ter Maten , Michael Günther , Jan K. Sykulski

Asymptotic formulae for the mechanical and electric fields in a piezoelectric body with a small void are derived and justified. Such results are new and useful for applications in the field of design of smart materials. In this way the…

Optimization and Control · Mathematics 2012-01-11 G. Cardone , S. A. Nazarov , J. Sokolowski
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