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A common goal throughout science and engineering is to solve optimization problems constrained by computational models. However, in many cases a high-fidelity numerical emulation of systems cannot be optimized due to code complexity and…

数值分析 · 数学 2023-05-31 Joseph Hart , Bart van Bloemen Waanders

Porous and heterogeneous materials are found in many applications from composites, membranes, chemical reactors, and other engineered materials to biological matter and natural subsurface structures. In this work we propose an integrated…

计算物理 · 物理学 2019-09-15 Gianluca Boccardo , Eleonora Crevacore , Alberto Passalacqua , Matteo Icardi

This study presents a generative optimization framework based on a guided denoising diffusion probabilistic model (DDPM) that leverages surrogate gradients to generate heat sink designs minimizing pressure drop while maintaining surface…

机器学习 · 计算机科学 2025-11-14 Hadi Keramati , Morteza Sadeghi , Rajeev K. Jaiman

This article addresses the research question if and how the finite cell method, an embedded domain finite element method of high order, may be used in the simulation of metal deposition to harvest its computational efficiency. This…

数值分析 · 数学 2018-09-26 Ali Özcan , Stefan Kollmannsberger , John N. Jomo , Ernst Rank

Variable-density cellular structures can overcome connectivity and manufacturability issues of topologically optimized structures, particularly those represented as discrete density maps. However, the optimization of such cellular…

计算工程、金融与科学 · 计算机科学 2022-06-08 Jun Wang , Wei Wayne Chen , Daicong Da , Mark Fuge , Rahul Rai

Inclusion of contact in mechanical designs opens a large range of design possibilities, this includes classical designs with contact, such as gears, couplings, switches, clamps etc. However, incorporation of contact in topology optimization…

计算工程、金融与科学 · 计算机科学 2023-05-12 Andreas Henrik Frederiksen , Ole Sigmund , Konstantinos Poulios

Structural topology optimization, which aims to find the optimal physical structure that maximizes mechanical performance, is vital in engineering design applications in aerospace, mechanical, and civil engineering. Generative adversarial…

机器学习 · 计算机科学 2022-12-07 François Mazé , Faez Ahmed

Recent developments in the field of computational modeling of fracture have opened up possibilities for designing structures against failure. A special case, called interfacial fracture or delamination, can occur in loaded composite…

最优化与控制 · 数学 2022-09-13 Sukhminder Singh , Lukas Pflug , Julia Mergheim , Michael Stingl

The work explores a specific scenario for structural computational optimization based on the following elements: (a) a relaxed optimization setting considering the ersatz (bi-material) approximation, (b) a treatment based on a nonsmoothed…

计算工程、金融与科学 · 计算机科学 2021-08-06 J. Oliver , D. Yago , J. Cante , O. Lloberas-Valls

The field of optimal design of linear elastic structures has seen many exciting successes that resulted in new architected materials and structural designs. With the availability of cloud computing, including high-performance computing,…

计算工程、金融与科学 · 计算机科学 2021-02-09 Diab W. Abueidda , Seid Koric , Nahil A. Sobh

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…

计算工程、金融与科学 · 计算机科学 2022-04-18 Prabhat Kumar , Eduardo Fernández

The goal of Feature Selection - comprising filter, wrapper, and embedded approaches - is to find the optimal feature subset for designated downstream tasks. Nevertheless, current feature selection methods are limited by: 1) the selection…

机器学习 · 计算机科学 2023-09-18 Meng Xiao , Dongjie Wang , Min Wu , Pengfei Wang , Yuanchun Zhou , Yanjie Fu

Compared with traditional design methods, generative design significantly attracts engineers in various disciplines. In thiswork, howto achieve the real-time generative design of optimized structures with various diversities and…

计算工程、金融与科学 · 计算机科学 2024-01-23 Zongliang Du , Xinyu Ma , Wenyu Hao , Yuan Liang , Xiaoyu Zhang , Hongzhi Luo , Xu Guo

We propose a new model-order reduction framework to poorly reducible problems arising from parametric partial differential equations with geometric variability. In such problems, the solution manifold exhibits a slowly decaying Kolmogorov…

数值分析 · 数学 2025-10-30 Abbas Kabalan , Fabien Casenave , Felipe Bordeu , Virginie Ehrlacher , Alexandre Ern

The evolutionary fitness landscape of biological molecules is extremely sparse and heterogeneous, with functional sequences forming isolated dense ``islands'' within a vast combinatorial space of largely non-functional variants. Protein…

During design optimization, a smooth description of the geometry is important, especially for problems that are sensitive to the way interfaces are resolved, e.g., wave propagation or fluid-structure interaction. A levelset description of…

计算工程、金融与科学 · 计算机科学 2021-12-28 Sanne J. van den Boom , Jian Zhang , Fred van Keulen , Alejandro M. Aragón

Resource-intensive computations are a major factor that limits the effectiveness of automated machine learning solutions. In the paper, we propose a modular approach that can be used to increase the quality of evolutionary optimization for…

机器学习 · 计算机科学 2023-01-13 Nikolay O. Nikitin , Sergey Teryoshkin , Valerii Pokrovskii , Sergey Pakulin , Denis Nasonov

Real-world graphs have inherently complex and diverse topological patterns, known as topological heterogeneity. Most existing works learn graph representation in a single constant curvature space that is insufficient to match the complex…

机器学习 · 计算机科学 2024-12-17 Zihao Guo , Qingyun Sun , Haonan Yuan , Xingcheng Fu , Min Zhou , Yisen Gao , Jianxin Li

We introduce an efficient and scalable method for density-based multi-material topology optimization, integrating classical mirror descent techniques with point-wise polytopal design constraints. Such constraints arise naturally in this…

数值分析 · 数学 2026-05-15 Peter Gangl , Brendan Keith , Dohyun Kim , Boyan S. Lazarov , Thomas M. Surowiec

Homogenisation empowers the efficient macroscale system level prediction of physical scenarios with intricate microscale structures. Here we develop an innovative powerful, rigorous and flexible framework for asymptotic homogenisation of…

动力系统 · 数学 2025-04-08 A. J. Roberts