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Multi-material design optimization problems can, after discretization, be solved by the iterative solution of simpler sub-problems which approximate the original problem at an expansion point to first order. In particular, models…

Numerical Analysis · Mathematics 2026-04-01 Peter Gangl , Nico Nees , Michael Stingl

This paper proposes a novel paradigm for machine learning that moves beyond traditional parameter optimization. Unlike conventional approaches that search for optimal parameters within a fixed geometric space, our core idea is to treat the…

Machine Learning · Computer Science 2025-10-31 Di Zhang

This study proposes a novel topology optimization method for unsteady fluid flows induced by actively moving rigid bodies. The key idea of the proposed method is to decouple the design and analysis domains by using separate grids. The…

Optimization and Control · Mathematics 2025-07-01 Yuta Tanabe , Kentaro Yaji , Kuniharu Ushijima

An important step in shape optimization with partial differential equation constraints is to adapt the geometry during each optimization iteration. Common strategies are to employ mesh-deformation or re-meshing, where one or the other…

Numerical Analysis · Mathematics 2018-06-27 Jorgen S. Dokken , Simon W. Funke , August Johansson , Stephan Schmidt

Recent advances in implicit neural representations show great promise when it comes to generating numerical solutions to partial differential equations. Compared to conventional alternatives, such representations employ parameterized neural…

Machine Learning · Computer Science 2021-11-29 Jonas Zehnder , Yue Li , Stelian Coros , Bernhard Thomaszewski

This paper studies the characteristics and applicability of the CutFEM approach as the core of a robust topology optimization framework for 3D laminar incompressible flow and species transport problems at low Reynolds number (Re < 200).…

Optimization and Control · Mathematics 2017-02-09 Hernan Villanueva , Kurt Maute

This paper presents a method for the optimization of multi-component structures comprised of two and three materials considering large motion sliding contact and separation along interfaces. The structural geometry is defined by an explicit…

Optimization and Control · Mathematics 2017-01-24 Matthew Lawry , Kurt Maute

We present a new approach to discretizing shape optimization problems that generalizes standard moving mesh methods to higher-order mesh deformations and that is naturally compatible with higher-order finite element discretizations of…

Numerical Analysis · Mathematics 2017-06-13 A. Paganini , F. Wechsung , P. E. Farrell

This paper presents a multicomponent topology optimization method for designing structures assembled from additively-manufactured components, considering anisotropic material behavior for each component due to its build orientation,…

Computational Engineering, Finance, and Science · Computer Science 2019-11-26 Yuqing Zhou , Tsuyoshi Nomura , Kazuhiro Saitou

Topology optimization (TO) is a common technique used in free-form designs. However, conventional TO-based design approaches suffer from high computational cost due to the need for repetitive forward calculations and/or sensitivity…

Artificial Intelligence · Computer Science 2020-09-15 Chao Qian , Wenjing Ye

We aim to solve a topology optimization problem where the distribution of material in the design domain is represented by a density function. To obtain candidates for local minima, we want to solve the first order optimality system via…

Optimization and Control · Mathematics 2026-01-08 P. Gangl , M. Winkler

This paper presents an efficient gradient projection-based method for structural topological optimization problems characterized by a nonlinear objective function which is minimized over a feasible region defined by bilateral bounds and a…

Computational Engineering, Finance, and Science · Computer Science 2020-06-16 Zhi Zeng , Fulei Ma

Compliant mechanisms actuated by pneumatic loads are receiving increasing attention due to their direct applicability as soft robots that perform tasks using their flexible bodies. Using multiple materials to build them can further improve…

Computational Engineering, Finance, and Science · Computer Science 2023-10-17 Prabhat Kumar , Josh Pinskier , David Howard , Matthijs Langelaar

By exploiting the superiority of non-orthogonal multiple access (NOMA), NOMA-aided mobile edge computing (MEC) can provide scalable and low-latency computing services for the Internet of Things. However, given the prevalent stochasticity of…

Information Theory · Computer Science 2021-07-01 Meihui Hua , Hui Tian , Xinchen Lyu , Wanli Ni , Gaofeng Nie

This paper presents a Material Mask Overlay topology optimization approach with the improved material assignment at the element level for achieving the desired discreteness of the optimized designs for pressure-loaded problems. Hexagonal…

Computational Engineering, Finance, and Science · Computer Science 2022-10-17 Prabhat Kumar , Anupam Saxena

Meshing complex engineering domains is a challenging task. Arbitrary polyhedral meshes can provide the much needed flexibility in automated discretization of such domains. The geometric property of the polyhedral meshes such as the…

Optimization and Control · Mathematics 2015-07-22 Arun L. Gain , Glaucio H. Paulino , Leonardo Duarte , Ivan F. M. Menezes

Controlling structural complexity, particularly the number of holes, remains a fundamental challenge in topology optimization, with significant implications for both theoretical analysis and manufacturability. Most existing approaches rely…

Optimization and Control · Mathematics 2026-02-17 Gengchen Li , Depeng Gao , Wenliang Yin , Hongwei Lin

Topology optimization produces designs with intricate geometries and complex topologies that require advanced manufacturing techniques such as additive manufacturing (AM). However, insufficient consideration of manufacturability during the…

Computational Engineering, Finance, and Science · Computer Science 2025-02-28 Seungheon Shin , Byeonghyeon Goh , Youngtaek Oh , Hayoung Chung

Black-box optimization is increasingly used in engineering design problems where simulation-based evaluations are costly and gradients are unavailable. In this context, the optimization community has largely analyzed algorithm performance…

Neural and Evolutionary Computing · Computer Science 2026-02-06 Iván Olarte Rodríguez , Gokhan Serhat , Mariusz Bujny , Fabian Duddeck , Thomas Bäck , Elena Raponi

In this article a topology optimization method is developed, which is aware of material uncertainties. The uncertainties are handled in a worst-case sense, i.e. the worst possible material distribution over a given uncertainty set is taken…

Optimization and Control · Mathematics 2018-12-13 Jannis Greifenstein , Michael Stingl