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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…

Although design optimization has shown its great power of automatizing the whole design process and providing an optimal design, using sophisticated computational models, its process can be formidable due to a computationally expensive…

Numerical Analysis · Mathematics 2019-09-26 Youngsoo Choi , Geoffrey Oxberry , Daniel White , Trenton Kirchdoerfer

We present an application of multi-mesh finite element methods as part of a methodology for optimizing settlement layouts. By formulating a multi-objective optimization problem, we demonstrate how a given number of buildings may be…

Computational Engineering, Finance, and Science · Computer Science 2023-01-31 Anders Logg , Christian Valdemar Lorenzen , Carl Lundholm

This paper presents an adaptive discretization strategy for level set topology optimization of structures based on hierarchical B-splines. This work focuses on the influence of the discretization approach and the adaptation strategy on the…

Numerical Analysis · Mathematics 2019-09-25 L. Noel , M. Schmidt , C. Messe , J. A. Evans , K. Maute

We propose a novel optimization framework for computing the medial axis transform that simultaneously preserves the medial structure and ensures high medial mesh quality. The medial structure, consisting of interconnected sheets, seams, and…

Graphics · Computer Science 2025-10-14 Ningna Wang , Rui Xu , Yibo Yin , Zichun Zhong , Taku Komura , Wenping Wang , Xiaohu Guo

High-dimensional data, characterized by many features, can be difficult to visualize effectively. Dimensionality reduction techniques, such as PCA, UMAP, and t-SNE, address this challenge by projecting the data into a lower-dimensional…

This paper presents a topology optimization approach to design 2D contact-aided compliant mechanisms (CCMs) that can trace the desired output paths with more than one kink while experiencing self and/or external contacts. Such CCMs can be…

Computational Engineering, Finance, and Science · Computer Science 2025-02-04 Prabhat Kumar , Roger A Sauer , Anupam Saxena

In topology optimization, the state of structures is typically obtained by numerically evaluating a discretized PDE-based model. The degrees of freedom of such a model can be partitioned in free and prescribed sets to define the boundary…

Computational Engineering, Finance, and Science · Computer Science 2022-04-06 Stijn Koppen , Matthijs Langelaar , Fred van Keulen

Mode-based model-reduction is used to reduce the degrees of freedom of high dimensional systems, often by describing the system state by a linear combination of spatial modes. Transport dominated phenomena, ubiquitous in technical and…

Numerical Analysis · Mathematics 2020-02-28 Julius Reiss

We propose an efficient probabilistic method to solve a deterministic problem -- we present a randomized optimization approach that drastically reduces the enormous computational cost of optimizing designs under many load cases for both…

Optimization and Control · Mathematics 2017-10-11 Xiaojia Zhang , Eric de Sturler , Glaucio H. Paulino

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

In this paper, we present a topology optimization (TO) framework to enable automated design of mechanical components while ensuring the result can be manufactured using multi-axis machining. Although TO improves the part's performance, the…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Amir M. Mirzendehdel , Morad Behandish , Saigopal Nelaturi

We consider the problem of optimization of cost functionals on the infinite-dimensional manifold of diffeomorphisms. We present a new class of optimization methods, valid for any optimization problem setup on the space of diffeomorphisms by…

Optimization and Control · Mathematics 2018-05-25 Ganesh Sundaramoorthi , Anthony Yezzi

In this article, a novel explicit approach for designing complex thin-walled structures based on the Moving Morphable Component (MMC) method is proposed, which provides a unified framework to systematically address various design issues,…

Graphics · Computer Science 2023-10-24 Wendong Huo , Chang Liu , Yunpu Liu , Zongliang Du , Weisheng Zhang , Xu Guo

This paper presents a density-based topology optimization approach considering additive manufacturing limitations. The presented method considers the minimum size of parts, the minimum size of cavities, the inability of printing overhanging…

Computational Engineering, Finance, and Science · Computer Science 2022-04-18 Prabhat Kumar , Eduardo Fernández

Non-orthogonal multiple access (NOMA) systems have the potential to deliver higher system throughput, compared to contemporary orthogonal multiple access techniques. For a linearly precoded multiple-input multiple-output (MISO) system, we…

Information Theory · Computer Science 2015-12-08 Muhammad Fainan Hanif , Zhiguo Ding , Tharmalingam Ratnarajah , George K. Karagiannidis

This paper presents a method for simultaneous optimization of the outer shape and internal topology of aircraft wings, with the objective of minimizing drag subject to lift and compliance constraints for multiple load cases. The physics are…

Computational Engineering, Finance, and Science · Computer Science 2023-05-01 Lukas C. Høghøj , Cian Conlan-Smith , Ole Sigmund , Casper Schousboe Andreasen

In aerospace engineering, there is a growing demand for lightweight design through topology optimization. This paper presents a novel design optimization method for stiffened air rudders, commonly used for aircraft attitude control, based…

Optimization and Control · Mathematics 2024-01-18 Yibo Jia , Wen Meng , Zongliang Du , Chang Liu , Shanwei Li , Conglei Wang , Zhifu Ge , Ruiyi Su , Xu Guo

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

The need for optimized structures with good mechanical performance for the minimum weight is common in industry. Solid Isotropic Material with Penalization (SIMP) is a Topology Optimization (TO) method offering a trade-off between minimum…

Optimization and Control · Mathematics 2025-03-28 Luis Irastorza-Valera , Ricardo Larraínzar-Garijo , Javier Montoya-Adárraga , Luis Saucedo-Mora