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Topology optimization is an important basis for the design of components. Here, the optimal structure is found within a design space subject to boundary conditions. Thereby, the specific material law has a strong impact on the final design.…

Computational Engineering, Finance, and Science · Computer Science 2024-04-29 Miriam Kick , Philipp Junker

In the analysis of composite materials with heterogeneous microstructures, full resolution of the heterogeneities using classical numerical approaches can be computationally prohibitive. This paper presents a micromechanics-enhanced finite…

Materials Science · Physics 2011-11-08 J. Novák , Ł. Kaczmarczyk , P. Grassl , J. Zeman , C. J. Pearce

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

The surface of a 3D topological insulator is conducting and the topologically nontrivial nature of the surface states is observed in experiments. It is the aim of this paper to review and analyze experimental observations with respect to…

Mesoscale and Nanoscale Physics · Physics 2013-03-11 M. Veldhorst , M. Snelder , M. Hoek , C. G. Molenaar , D. P. Leusink , A. A. Golubov , H. Hilgenkamp , A. Brinkman

Persistent homology is a topological feature used in a variety of applications such as generating features for data analysis and penalizing optimization problems. We develop an approach to accelerate persistent homology computations…

Algebraic Topology · Mathematics 2023-01-19 Yuan Luo , Bradley J. Nelson

This work explores the use of topological tools for achieving effective non-prehensile manipulation in cluttered, constrained workspaces. In particular, it proposes the use of persistent homology as a guiding principle in identifying the…

Robotics · Computer Science 2022-02-08 Ewerton R. Vieira , Daniel Nakhimovich , Kai Gao , Rui Wang , Jingjin Yu , Kostas E. Bekris

Magnets are key materials for the electrification of mobility and also for the generation and transformation of electric energy. Research and development in recent decades lead to high performance magnets, which require a finely tuned…

Materials Science · Physics 2023-12-25 Lukas Weissitsch , Franziska Staab , Karsten Durst , Andrea Bachmaier

In this paper, gradient-based optimization methods are combined with finite-element modeling for improving electric devices. Geometric design parameters are considered by affine decomposition of the geometry or by the design element…

Electric machines with very power-to-weight ratios are inevitable for hybrid electric aircraft applications. One potential technology that is very promising to achieve the required power-to-weight ratio for short-range aircraft, are…

Applied Physics · Physics 2020-04-22 Matthias Corduan , Martin Boll , Roman Bause , Marijn Oomen , Mykhaylo Filipenko , Mathias Noe

This article is devoted to the study of spectral optimisation for inhomogeneous plates. In particular, we optimise the first eigenvalue of a vibrating plate with respect to its thickness and/or density. Our result is threefold. First, we…

Analysis of PDEs · Mathematics 2021-07-26 Elisa Davoli , Idriss Mazari , Ulisse Stefanelli

In recent years, topology optimization has been developed sufficiently and many researchers have concentrated on enhancing to computationally numerical algorithms for computational effectiveness of this method. Along with the development of…

Numerical Analysis · Mathematics 2023-01-19 Nam G. Luu , Thanh T. Banh

Permanent magnet has a small and compact structure, is especially suitable for a narrow space. With the aid of soft iron, the magnetic field can be increased much more and the field uniformity can be well controlled. Most Permanent magnets…

Accelerator Physics · Physics 2023-01-03 Quanling Peng , Jianxin Zhou , Saike Tian , Yingzhe Wang

Topological insulators (TIs) are materials with unique surface conductive properties that distinguish them from normal insulators and have attracted significant interest due to their potential applications in electronics and spintronics.…

Mesoscale and Nanoscale Physics · Physics 2025-02-24 Qiang Sun , Eitan Dvorquez , Felipe Pinto , Mohan C. Mathpal , Jerónimo R. Maze , Brant C. Gibson , Andrew D. Greentree

Multilevel, multiarea, and hierarchically interconnected electrical power grids confront substantial challenges with the increasing integration of many volatile energy resources. The traditional isolated operation of interconnected power…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Chenhui Lin , Wenchuan Wu

As widely used electrochemical storage devices, supercapacitors deliver higher power density than batteries, but suffer from significantly lower energy density. In this work, we propose a topology optimization model for electrode structure…

Optimization and Control · Mathematics 2025-11-27 Jiajie Li , Xiang Ji , Shenggao Zhou , Shengfeng Zhu

Materials with spin-orbit coupling are of great interest for various spintronics applications due to the efficient electrical generation and detection of spin-polarized electrons. Over the past decade, many materials have been studied,…

This work deals with the solution of a non-convex optimization problem to enhance the performance of an energy harvesting device, which involves a nonlinear objective function and a discontinuous constraint. This optimization problem, which…

Computational Engineering, Finance, and Science · Computer Science 2021-05-31 Americo Cunha

The multigrid algorithm is a multilevel approach to accelerate the numerical solution of discretized differential equations in physical problems involving long-range interactions. Multiresolution analysis of wavelet theory provides an…

Computational Physics · Physics 2007-05-23 D. Yesilleten , T. A. Arias

Immersed boundary methods are high-order accurate computational tools used to model geometrically complex problems in computational mechanics. While traditional finite element methods require the construction of high-quality boundary-fitted…

Numerical Analysis · Mathematics 2024-02-27 Jennifer E. Fromm , Nils Wunsch , Kurt Maute , John A. Evans , Jiun-Shyan Chen

Nonnegative tensors arise very naturally in many applications that involve large and complex data flows. Due to the relatively small requirement in terms of memory storage and number of operations per step, the (shifted) higher-order power…

Numerical Analysis · Mathematics 2019-08-27 Stefano Cipolla , Michela Redivo-Zaglia , Francesco Tudisco
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