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Photonic topology optimization is a technique used to find the electric permittivity distribution of a device that optimizes an electromagnetic figure-of-merit. Two common techniques are used: continuous density-based optimizations that…

Applied Physics · Physics 2021-07-21 Conner Ballew , Gregory Roberts , Tianzhe Zheng , Andrei Faraon

Typical topology optimization methods require complex iterative calculations, which cannot meet the requirements of fast computing applications. The neural network is studied to reduce the time of computing the optimization result, however,…

Computational Physics · Physics 2024-01-12 Ce Guan , Jianyu Zhang , Zhen Li , Yongbo Deng

This paper presents a topology optimization approach for the surface flows on variable design domains. Via this approach, the matching between the pattern of a surface flow and the 2-manifold used to define the pattern can be optimized,…

Optimization and Control · Mathematics 2022-07-29 Yongbo Deng , Weihong Zhang , Jihong Zhu , Yingjie Xu , Zhenyu Liu , Jan G. Korvink

We propose a model-based, automated, bottom-up approach for design, which is applicable to various physical domains, but in this work we focus on the electrical domain. This bottom-up approach is based on a meta-topology in which each link…

Optimization and Control · Mathematics 2023-02-17 Ion Matei , Maksym Zhenirovskyy , John Maxwell , Johan de Kleer

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…

Numerical Analysis · Mathematics 2026-05-15 Peter Gangl , Brendan Keith , Dohyun Kim , Boyan S. Lazarov , Thomas M. Surowiec

Topology design optimization offers tremendous opportunity in design and manufacturing freedoms by designing and producing a part from the ground-up without a meaningful initial design as required by conventional shape design optimization…

Machine Learning · Statistics 2019-01-10 Sharad Rawat , M. H. Herman Shen

We present topological derivative and energy based procedures for the imaging of micro and nanostructures using one beam of visible light of a single wavelength. Objects with diameters as small as 10 nm can be located, and their position…

Biological Physics · Physics 2016-10-04 A. Carpio , T. G. Dimiduk , M. L. Rapun , V. Selgas

We present first a brief review of the existing literature on shape optimization, stressing the recent use of Hamiltonian systems in topology optimization. In the second section, we collect some preliminaries on the implicit parametrization…

Optimization and Control · Mathematics 2022-11-23 Cornel Marius Murea , Dan Tiba

We introduce a new "subpixel-smoothed projection" (SSP) formulation for differentiable binarization in topology optimization (TopOpt) as a drop-in replacement for previous projection schemes, which suffer from near-non-differentiability and…

Presently, topology optimization requires multiple iterations to create an optimized structure for given conditions. Among the conditions for topology optimization,the design area is one of the most important for structural design. In this…

Computational Engineering, Finance, and Science · Computer Science 2020-04-21 Keigo Nakamura , Yoshiro Suzuki

We present a methodical procedure for topology optimization under uncertainty with multi-resolution finite element models. We use our framework in a bi-fidelity setting where a coarse and a fine mesh corresponding to low- and…

Numerical Analysis · Computer Science 2019-04-08 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

Topology optimization (TO) is a well-established methodology for structural design under user-defined constraints, e.g. minimum volume and maximum stiffness. However, such methods have traditionally been applied to static, deterministic…

Computational Physics · Physics 2025-03-28 Luis Irastorza-Valera , Luis Saucedo-Mora

In this paper a phase-field approach for structural topology optimization for a 3D-printing process which includes stress constraint and potentially multiple materials or multiscales is analyzed. First order necessary optimality conditions…

Optimization and Control · Mathematics 2019-07-16 Ferdinando Auricchio , Elena Bonetti , Massimo Carraturo , Dietmar Hömberg , Alessandro Reali , Elisabetta Rocca

Although various structural optimization techniques have a sound mathematical basis, the practical constructability of optimal designs poses a great challenge in the manufacturing stage. Currently, there is only a limited number of unified…

Numerical Analysis · Mathematics 2024-07-19 Lowhikan Sivanantha Sarma , Chinthaka Mallikarachchi , Sumudu Herath

The mechanical properties of metallic nanostructures are governed not only by topology but also by crystal symmetry and face-specific surface physics, which are typically absent from continuum topology optimization. We develop an…

Applied Physics · Physics 2026-04-07 Chun-Teh Chen , Denvid Lau

This study proposes the topology optimization method for moving rigid bodies subjected to forces from fluid flow, such as sails and turbines, with an unsteady time-dependent formulation. Unlike existing topology optimization frameworks in…

Fluid Dynamics · Physics 2026-01-27 Yuta Tanabe , Kentaro Yaji , Kuniharu Ushijima

As the capabilities of additive manufacturing techniques increase, topology optimization provides a promising approach to design geometrically sophisticated structures which can be directly manufactured. Traditional topology optimization…

Optimization and Control · Mathematics 2014-01-28 Carlos H. Villanueva , Kurt Maute

Feature-mapping methods for topology optimization (FMTO) facilitate direct geometry extraction by leveraging high-level geometric descriptions of the designs. However, FMTO often relies solely on Boolean unions, which can restrict the…

Computational Engineering, Finance, and Science · Computer Science 2024-09-05 Rahul Kumar Padhy , Pramod Thombre , Krishnan Suresh , Aaditya Chandrasekhar

We present a novel, physically-based morphing technique for elastic shapes, leveraging the differentiable material point method (MPM) with space-time control through per-particle deformation gradients to accommodate complex topology…

Graphics · Computer Science 2025-09-16 Michael Xu , Chang-Yong Song , David I. W. Levin , David Hyde

In this work we investigate a combination of classical PDE constrained optimization methods and a rounding strategy based on shape optimization for the identification of interfaces. The goal is to identify radioactive regions in a…

Optimization and Control · Mathematics 2021-04-12 Martin Siebenborn
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