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This article is concerned with the numerical solution of convex variational problems. More precisely, we develop an iterative minimisation technique which allows for the successive enrichment of an underlying discrete approximation space in…

数值分析 · 数学 2015-07-07 Paul Houston , Thomas P. Wihler

Nature evolves structures like honeycombs at optimized performance with limited material. These efficient structures can be artificially created with the collaboration of structural topology optimization and additive manufacturing. However,…

计算工程、金融与科学 · 计算机科学 2023-03-22 Shengze Zhong , Parinya Punpongsanon , Daisuke Iwai , Kosuke Sato

We present an efficient 140 line MATLAB code for topology optimization problems that include probabilistic parameters. It is built from the top99neo code by Ferrari and Sigmund and incorporates a stochastic sample-based approach. Old…

最优化与控制 · 数学 2025-05-16 Andrian Uihlein , Ole Sigmund , Michael Stingl

This paper introduces pycvxset, a new Python package to manipulate and visualize convex sets. We support polytopes and ellipsoids, and provide user-friendly methods to perform a variety of set operations. For polytopes, pycvxset supports…

系统与控制 · 电气工程与系统科学 2024-10-16 Abraham P. Vinod

An isogeometric finite element formulation for geometrically and materially nonlinear Timoshenko beams is presented, which incorporates in-plane deformation of the cross-section described by two extensible director vectors. Since those…

应用物理 · 物理学 2021-07-08 Myung-Jin Choi , Roger A. Sauer , Sven Klinkel

We present a Matlab code for modelling and topology optimization of hyperelastic structures, including contact modelled by the Third Medium Contact (TMC) approach. By using the so-called HuHu-regularization we penalize the skew distortion…

数学软件 · 计算机科学 2026-03-23 Andreas Henrik Frederiksen , Ole Sigmund , Federico Ferrari

We present PyOECP, a Python-based flexible open-source software for estimating and modeling the complex permittivity obtained from the open-ended coaxial probe (OECP) technique. The transformation of the measured reflection coefficient to…

仪器与探测器 · 物理学 2021-10-01 Tae Jun Yoon , Katie A. Maerzke , Robert P. Currier , Alp T. Findikoglu

In this text we expose basic cases of some fundamental ideas and methods of topology. Namely, of homotopy, degree, fundamental group, covering, Whitehead invariant, etc. This is done by considering the elementary example: closed polygonal…

历史与综述 · 数学 2026-05-07 E. Alkin , O. Nikitenko , A. Skopenkov

This paper considers the design of structures made of engineered materials, accounting for uncertainty in material properties. We present a topology optimization approach that optimizes the structural shape and topology at the macroscale…

最优化与控制 · 数学 2021-10-27 Subhayan De , Kurt Maute , Alireza Doostan

PYROBOCOP is a lightweight Python-based package for control and optimization of robotic systems described by nonlinear Differential Algebraic Equations (DAEs). In particular, the package can handle systems with contacts that are described…

机器人学 · 计算机科学 2021-06-08 Arvind U. Raghunathan , Devesh K. Jha , Diego Romeres

The work provides an exhaustive comparison of some representative families of topology optimization methods for 3D structural optimization, such as the Solid Isotropic Material with Penalization (SIMP), the Level-set, the Bidirectional…

计算工程、金融与科学 · 计算机科学 2021-08-09 Daniel Yago , Juan Cante , Oriol Lloberas-Valls , Javier Oliver

We present PyXtal, a new package based on the Python programming language, used to generate structures with specific symmetry and chemical compositions for both atomic and molecular systems. This soft ware provides support for various…

材料科学 · 物理学 2021-10-05 Scott Fredericks , Kevin Parrish , Dean Sayre , Qiang Zhu

Optimization over the embedded submanifold defined by constraints $c(x) = 0$ has attracted much interest over the past few decades due to its wide applications in various areas. Plenty of related optimization packages have been developed…

最优化与控制 · 数学 2024-10-15 Nachuan Xiao , Xiaoyin Hu , Xin Liu , Kim-Chuan Toh

Optimization aims at selecting a feasible set of parameters in an attempt to solve a particular problem, being applied in a wide range of applications, such as operations research, machine learning fine-tuning, and control engineering,…

神经与进化计算 · 计算机科学 2020-12-03 Gustavo H. de Rosa , Douglas Rodrigues , João P. Papa

Topology Optimization (TO), which maximizes structural robustness under material weight constraints, is becoming an essential step for the automatic design of mechanical parts. However, existing TO algorithms use the Finite Element Analysis…

机器人学 · 计算机科学 2022-04-14 Zherong Pan , Xifeng Gao , Kui Wu

Soft robotics has emerged as the standard solution for grasping deformable objects, and has proven invaluable for mobile robotic exploration in extreme environments. However, despite this growth, there are no widely adopted computational…

机器人学 · 计算机科学 2024-07-11 Yue Xie , Josh Pinskier , Lois Liow , David Howard , Fumiya Iida

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

This paper introduces CEopt (https://ceopt.org), a MATLAB tool leveraging the Cross-Entropy method for non-convex optimization. Due to the relative simplicity of the algorithm, it provides a kind of transparent ``gray-box'' optimization…

Hierarchical Topic Models (HTMs) are useful for discovering topic hierarchies in a collection of documents. However, traditional HTMs often produce hierarchies where lowerlevel topics are unrelated and not specific enough to their…

信息检索 · 计算机科学 2023-05-17 Simra Shahid , Tanay Anand , Nikitha Srikanth , Sumit Bhatia , Balaji Krishnamurthy , Nikaash Puri

PySEMTools is a Python-based library for post-processing simulation data produced with high-order hexahedral elements in the context of the spectral element method in computational fluid dynamics. It aims to minimize intermediate steps…

计算物理 · 物理学 2025-04-18 Adalberto Perez , Siavash Toosi , Tim Felle Olsen , Stefano Markidis , Philipp Schlatter