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Related papers: DMF-TONN: Direct Mesh-free Topology Optimization u…

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In this paper, we present a topology optimization (TO) framework to simultaneously optimize the matrix topology and fiber distribution of functionally graded continuous fiber-reinforced composites (FRC). Current approaches in density-based…

Computational Engineering, Finance, and Science · Computer Science 2022-05-16 Aaditya Chandrasekhar , Amir Mirzendehdel , Morad Behandish , Krishnan Suresh

Recent advances in implicit neural representations show great promise when it comes to generating numerical solutions to partial differential equations. Compared to conventional alternatives, such representations employ parameterized neural…

Machine Learning · Computer Science 2021-11-29 Jonas Zehnder , Yue Li , Stelian Coros , Bernhard Thomaszewski

We propose a novel dual physics-informed neural network for topology optimization (DPNN-TO), which merges physics-informed neural networks (PINNs) with the traditional SIMP-based topology optimization (TO) algorithm. This approach leverages…

Computational Physics · Physics 2024-10-21 Ajendra Singh , Souvik Chakraborty , Rajib Chowdhury

This paper provides a normalized field product approach for topology optimization to achieve close-to-binary optimal designs. The method employs a parameter-free density measure that implicitly enforces a minimum length scale on the solid…

Computational Engineering, Finance, and Science · Computer Science 2024-12-25 Nikhil Singh , Prabhat Kumar , Anupam Saxena

This paper explores the possibilities of applying physics-informed neural networks (PINNs) in topology optimization (TO) by introducing a fully self-supervised TO framework that is based on PINNs. This framework solves the forward…

Computational Engineering, Finance, and Science · Computer Science 2022-12-19 Junyan He , Shashank Kushwaha , Charul Chadha , Seid Koric , Diab Abueidda , Iwona Jasiuk

This paper proposes a new topology optimization method that applies a convolutional neural network (CNN), which is one deep learning technique for topology optimization problems. Using this method, we acquire a structure with a little…

Machine Learning · Computer Science 2020-01-06 Yusuke Takahashi , Yoshiro Suzuki , Akira Todoroki

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…

Numerical Analysis · Mathematics 2010-09-28 Shun Wang , Eric de Sturler , Glaucio H. Paulino

Topology optimization (TO) has been widely adopted in engineering design; however, it is prone to being trapped in local optima, particularly in strongly nonlinear problems. Sensitivity-free data-driven topology design (DDTD) offers a…

Computational Physics · Physics 2026-03-10 Jun Yang , Ziliang Wang , Shintaro Yamasaki

Density functional theory (DFT) offers a desirable balance between quantitative accuracy and computational efficiency in practical many-electron calculations. Its central component, the exchange-correlation energy functional, has been…

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…

Numerical Analysis · Mathematics 2019-03-19 Erik Burman , Daniel Elfverson , Peter Hansbo , Mats G. Larson , Karl Larsson

This paper presents a density-based topology optimization approach to design structures under self-weight load. Such loads change their magnitude and/or location as the topology optimization advances and pose several unique challenges,…

Computational Engineering, Finance, and Science · Computer Science 2022-04-26 Prabhat Kumar

Using a Deep Neuronal Network model (DNN) trained on the large ANI-1 data set of small organic molecules, we propose a transferable density-free many-body dispersion model (DNN-MBD). The DNN strategy bypasses the explicit Hirshfeld…

In density-based topology optimization, design variables associated to the boundaries of the design domain require unique treatment to negate boundary effects arising from the filtering technique. An effective approach to deal with…

Numerical Analysis · Mathematics 2021-01-27 Prabhat Kumar , Eduardo Fernández

Topology optimization is a computational method used to determine the optimal material distribution within a prescribed design domain, aiming to minimize structural weight while satisfying load and boundary conditions. For critical…

Hardware Architecture · Computer Science 2026-04-17 Kaustubh Mhatre , Vedant Tewari , Aditya Ray , Farhan Khan , Ridwan Olabiyi , Ashif Iquebal , Aman Arora

Topology optimization (TO) serves as a widely applied structural design approach to tackle various engineering problems. Nevertheless, sensitivity-based TO methods usually struggle with solving strongly nonlinear optimization problems. By…

Machine Learning · Computer Science 2025-06-16 Jun Yang , Shintaro Yamasaki

We propose conditioning field initialization for neural network based topology optimization. In this work, we focus on (1) improving upon existing neural network based topology optimization, (2) demonstrating that by using a prior initial…

Machine Learning · Computer Science 2023-05-19 Hongrui Chen , Aditya Joglekar , Levent Burak Kara

We present a finite-difference method for the topology optimization of permanent magnets that is based on the FFT accelerated computation of the stray-field. The presented method employs the density approach for topology optimization and…

Computational Physics · Physics 2017-10-11 Claas Abert , Christian Huber , Florian Bruckner , Christoph Vogler , Gregor Wautischer , Dieter Suess

In this paper, we introduce a Deep Neural Network (DNN) to maximize the Proportional Fairness (PF) of the Spectral Efficiency (SE) of uplinks in Cell-Free (CF) massive Multiple-Input Multiple-Output (MIMO) systems. The problem of maximizing…

Information Theory · Computer Science 2021-10-12 Le Ty Khanh , Pham Quoc Viet , Ha Hoang Kha , Nguyen Minh Hoang

Deep-learning density functional theory (DFT) shows great promise to significantly accelerate material discovery and potentially revolutionize materials research. However, current research in this field primarily relies on data-driven…

Computational Physics · Physics 2024-08-14 Yang Li , Zechen Tang , Zezhou Chen , Minghui Sun , Boheng Zhao , He Li , Honggeng Tao , Zilong Yuan , Wenhui Duan , Yong Xu

Topology optimization (TO) is a family of computational methods that derive near-optimal geometries from formal problem descriptions. Despite their success, established TO methods are limited to generating single solutions, restricting the…

Machine Learning · Computer Science 2025-06-18 Andreas Radler , Eric Volkmann , Johannes Brandstetter , Arturs Berzins
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