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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…

机器学习 · 计算机科学 2025-10-31 Di Zhang

We present an improved method for topology optimization with both adaptive mesh refinement and derefinement. Since the total volume fraction in topology optimization is usually modest, after a few initial iterations the domain of…

数值分析 · 数学 2010-09-28 Shun Wang , Eric de Sturler , Glaucio H. Paulino

Optimal multi-layer device design requires consideration of fabrication uncertainties associated with inter-layer alignment and conformal layering. We present layer-restricted topology optimization (TO), a novel technique which mitigates…

In this paper, we propose a topology optimization (TO) framework where the design is parameterized by a set of convex polygons. Extending feature mapping methods in TO, the representation allows for direct extraction of the geometry. In…

最优化与控制 · 数学 2023-05-09 Aaditya Chandrasekhar

When solving a PDE problem numerically, a certain mesh-refinement process is always implicit, and very classically, mesh adaptivity is a very effective means to accelerate grid convergence. Similarly, when optimizing a shape by means of an…

数值分析 · 数学 2015-09-11 Badr Abou El Majd

Three dimensional (3D) topology optimization problems always involve huge numbers of Degrees of Freedom (DOFs) in finite element analysis (FEA) and design variables in numerical optimization, respectively. This will inevitably lead to large…

其他凝聚态物理 · 物理学 2017-06-28 Weisheng Zhang , Jishun Chen , Xuefeng Zhu , Jianhua Zhou , Dingchuan Xue , Xin Lei , Xu Guo

We develop a density based topology optimization method for linear elasticity based on the cut finite element method. More precisely, the design domain is discretized using cut finite elements which allow complicated geometry to be…

数值分析 · 数学 2019-03-19 Erik Burman , Daniel Elfverson , Peter Hansbo , Mats G. Larson , Karl Larsson

In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

计算工程、金融与科学 · 计算机科学 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

In the present work, a new computational framework for structural topology optimization based on the concept of moving deformable components is proposed. Compared with the traditional pixel or node point-based solution framework, the…

计算工程、金融与科学 · 计算机科学 2015-06-23 Xu Guo , Weisheng Zhang , Wenliang Zhong

This paper presents a computational framework for the robust stiffness design of hyperelastic structures at finite deformations subject to various uncertain sources. In particular, the loading, material properties, and geometry…

计算工程、金融与科学 · 计算机科学 2025-01-28 Nan Feng , Guodong Zhang , Kapil Khandelwal

Finding the optimal design of a hydrodynamic or aerodynamic surface is often impossible due to the expense of evaluating the cost functions (say, with computational fluid dynamics) needed to determine the performances of the flows that the…

计算几何 · 计算机科学 2022-11-15 Haris Moazam Sheikh , Tess A. Callan , Kealan J. Hennessy , Philip S. Marcus

We present a novel de-homogenization approach for efficient design of high-resolution load-bearing structures. The proposed approach builds upon a streamline-based parametrization of the design domain, using a set of space-filling and…

计算工程、金融与科学 · 计算机科学 2022-07-20 Junpeng Wang , Rüdiger Westermann , Jun Wu

In additive manufacturing, the fabrication sequence has a large influence on the quality of manufactured components. While planning of the fabrication sequence is typically performed after the component has been designed, recent…

最优化与控制 · 数学 2024-04-23 Weiming Wang , Kai Wu , Fred van Keulen , Jun Wu

A multiobjective optimization method is proposed for obtaining the optimal plane trusses simultaneously for various aspect ratios of the initial ground structure as a set of Pareto optimal solutions generated through a single optimization…

最优化与控制 · 数学 2023-08-01 Makoto Ohsaki , Saku Aoyagi , Kazuki Hayashi

We propose a new algorithm for the design of topologically optimized lightweight structures, under a minimum compliance requirement. The new process enhances a standard level set formulation in terms of computational efficiency, thanks to…

计算工程、金融与科学 · 计算机科学 2022-08-24 Davide Cortellessa , Nicola Ferro , Simona Perotto , Stefano Micheletti

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…

最优化与控制 · 数学 2017-10-11 Xiaojia Zhang , Eric de Sturler , Glaucio H. Paulino

Unlike conventional mechanisms, compliant mechanisms produce the desired deformations by exploiting elastic strain and do not need, therefore, moving parts. The number of degrees of freedom of a conventional mechanism, also called mobility,…

机器人学 · 计算机科学 2021-05-18 Stephanie Kirmse , Lucio Flavio Campanile , Alexander Hasse

A memetic framework for optimal inverse design is proposed by combining a local gradient-based procedure and a robust global scheme. The procedure is based on method-of-moments matrices and does not demand full inversion of a system matrix.…

最优化与控制 · 数学 2023-10-10 Miloslav Capek , Lukas Jelinek , Petr Kadlec , Mats Gustafsson

This paper presents a computationally efficient method for the optimal design of silica aerogel porous material systems, balancing thermal insulation performance with mechanical stability under stress concentrations. The proposed approach…

计算工程、金融与科学 · 计算机科学 2025-04-03 Pratyush Kumar Singh , Danial Faghihi

This paper addresses the problem of a boundary control design for traffic evolving in a large-scale urban network. The traffic state is described on a macroscopic scale and corresponds to the vehicle density, whose dynamics are governed by…

最优化与控制 · 数学 2021-03-17 Liudmila Tumash , Carlos Canudas-de-Wit , Maria Laura Delle Monache