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Data Science aims to extract meaningful knowledge from unorganised data. Real datasets usually come in the form of a cloud of points with only pairwise distances. Numerous applications require to visualise an overall shape of a noisy cloud…

计算几何 · 计算机科学 2021-03-01 Vitaliy Kurlin , Philip Smith

In this article the most fundamental decomposition-based optimization method - block coordinate search, based on the sequential decomposition of problems in subproblems - and building performance simulation programs are used to reason about…

最优化与控制 · 数学 2016-09-12 Gian Luca Brunetti

This paper proposes a computational framework for the design optimization of stable structures under large deformations by incorporating nonlinear buckling constraints. A novel strategy for suppressing spurious buckling modes related to…

计算工程、金融与科学 · 计算机科学 2023-06-07 Guodong Zhang , Kapil Khandelwal , Tong Guo

A new density field representation technique called the Bezier skeleton explicit density (BSED) representation scheme for topology optimization of stretchable metamaterials under finite deformation is proposed for the first time. The…

计算工程、金融与科学 · 计算机科学 2020-06-24 Hao Deng , Shawn Hinnebusch , Albert C. To

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

Additive Manufacturing (AM) processes intended for large scale components deposit large volumes of material to shorten process duration. This reduces the resolution of the AM process, which is typically defined by the size of the deposition…

计算几何 · 计算机科学 2021-05-19 Eduardo Fernández , Can Ayas , Matthijs Langelaar , Pierre Duysinx

The concept of concurrent material and structure optimization aims at alleviating the computational discovery of optimum microstructure configurations in multiphase hierarchical systems, whose macroscale behavior is governed by their…

计算物理 · 物理学 2022-04-15 Tarun Gangwar , Dominik Schillinger

A new topology optimization method called the Proportional Topology Optimization (PTO) is presented. As a non-gradient method, PTO is simple to understand, easy to implement, and is also efficient and accurate at the same time. It is…

计算工程、金融与科学 · 计算机科学 2016-05-30 Emre Biyikli , Albert C. To

In this paper, we propose a high-order extension of the multiscale method introduced by the authors in [SIAM J. Numer. Anal., 63(4) (2025), pp. 1617--1641] for heterogeneous Stokes problems, while also providing several other improvements,…

数值分析 · 数学 2025-12-01 Moritz Hauck , Alexei Lozinski

A new approach for generating stress-constrained topological designs in continua is presented. The main novelty is in the use of elasto-plastic modeling and in optimizing the design such that it will exhibit a linear-elastic response. This…

计算工程、金融与科学 · 计算机科学 2016-08-25 Oded Amir

In recent years, to improve the evolutionary algorithms used to solve optimization problems involving a large number of decision variables, many attempts have been made to simplify the problem solution space of a given problem for the…

神经与进化计算 · 计算机科学 2021-02-25 Liang Feng , Qingxia Shang , Yaqing Hou , Kay Chen Tan , Yew-Soon Ong

Topology optimization, a technique to determine where material should be placed within a predefined volume in order to minimize a physical objective, is used across a wide range of scientific fields and applications. A general application…

等离子体物理 · 物理学 2023-06-23 Alan A. Kaptanoglu , Gabriel P. Langlois , Matt Landreman

As the development of distributed systems progresses, more and more challenges arise and the need for developing optimized systems and for optimizing existing systems from multiple perspectives becomes more stringent. In this paper I…

数据结构与算法 · 计算机科学 2009-03-21 Mugurel Ionut Andreica

We present a new framework for the simultaneous optimiziation of both the topology as well as the relative density grading of cellular structures and materials, also known as lattices. Due to manufacturing constraints, the optimization…

计算工程、金融与科学 · 计算机科学 2025-05-27 Jonathan Stollberg , Tarun Gangwar , Oliver Weeger , Dominik Schillinger

In this paper we present a comprehensive study on the multi-objective optimization of two-dimensional porous phononic crystals (PnCs) in both square and triangular lattices with the reduced topology symmetry of the unit-cell. The fast…

材料科学 · 物理学 2018-11-09 Hao-Wen Dong , Yue-Sheng Wang , Yan-Feng Wang , Chuanzeng Zhang

Lattice-skin structures composed of a thin-shell skin and a lattice infill are widespread in nature and large-scale engineering due to their efficiency and exceptional mechanical properties. Recent advances in additive manufacturing, or 3D…

数值分析 · 数学 2022-06-20 Xiao Xiao , Fehmi Cirak

In this paper we apply topology optimization to micro-structured superhydrophobic surfaces for the first time. It has been experimentally observed that a droplet suspended on a brush of micrometric posts shows a high static contact angle…

软凝聚态物质 · 物理学 2013-02-28 A. Cavalli , P. Bøggild , F. Okkels

We study the finite element approximation of the solid isotropic material with penalization method (SIMP) for the topology optimization problem of minimizing the compliance of a linearly elastic structure. To ensure the existence of a local…

数值分析 · 数学 2024-11-21 Ioannis P. A. Papadopoulos

A large number of problems in optimization, machine learning, signal processing can be effectively addressed by suitable semidefinite programming (SDP) relaxations. Unfortunately, generic SDP solvers hardly scale beyond instances with a few…

最优化与控制 · 数学 2016-03-15 Andrea Montanari

In this paper we present a mixed projection- and density-based topology optimization approach. The aim is to combine the benefits of both parametrizations: the explicit geometric representation provides specific controls on certain design…

计算工程、金融与科学 · 计算机科学 2019-10-09 Nicolò Pollini , Oded Amir