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We study the control by electromagnetic fields of molecular alignment and orientation, in a linear, rigid rotor model. With the help of a monotonically convergent algorithm, we find that the optimal field is in the microwave part of the…

化学物理 · 物理学 2007-05-23 Julien Salomon , Claude M. Dion , Gabriel Turinici

We optimize a selection of eigenvalues of the Laplace operator with Dirichlet or Neumann boundary conditions by adjusting the shape of the domain on which the eigenvalue problem is considered. Here, a phase-field function is used to…

最优化与控制 · 数学 2023-01-23 Harald Garcke , Paul Hüttl , Christian Kahle , Patrik Knopf , Tim Laux

Topology optimization methods have widely been used in various industries, owing to their potential for providing promising design candidates for mechanical devices. However, their applications are usually limited to the objects which do…

计算工程、金融与科学 · 计算机科学 2023-03-01 Yuki Sato , Hiroki Kobayashi , Changyoung Yuhn , Atsushi Kawamoto , Tsuyoshi Nomura , Noboru Kikuchi

In this chapter, we investigate recently proposed nonlinear conjugate gradient (NCG) methods for shape optimization problems. We briefly introduce the methods as well as the corresponding theoretical background and investigate their…

最优化与控制 · 数学 2025-10-14 Sebastian Blauth

A method has been recently proposed to establish the geometry of the alpha-cluster arrangement in $^{12}$C making use of polarized gamma-rays. The ratio of intensities of scattered radiation at 90 degrees along and perpendicular to the…

核理论 · 物理学 2019-11-18 Lorenzo Fortunato

This article combines shape optimization and homogenization techniques by looking for the optimal design of the microstructure in composite materials and of scaffolds. The development of materials with specific properties is of huge…

最优化与控制 · 数学 2019-07-16 Marc Dambrine , Helmut Harbrecht

Aerodynamic shape optimization has established itself as a valuable tool in the engineering design process to achieve highly efficient results. A central aspect for such approaches is the mapping from the design parameters which encode the…

计算工程、金融与科学 · 计算机科学 2019-10-17 Jakub Kmec , Sebastian Schmitt

Leveraging our structure-adaptive topology optimization framework based on the integration of the photonic density of states over a frequency window for the TM polarization of light [see A. Bahulikar et al., arXiv:2411.09165 (2025)], we…

Because molecules can have their orientation locked when embedded into a solid rare-gas matrix, their hyperfine structure is strongly perturbed relative to the freely rotating molecule. The addition of an electric field further perturbs the…

原子物理 · 物理学 2018-10-03 A. C. Vutha , M. Horbatsch , E. A. Hessels

This paper presents a driving-cycle-aware shape and topology optimization workflow for interior permanent magnet synchronous machines used in traction drives. A k-means clustering approach reduces full driving cycles to representative…

计算工程、金融与科学 · 计算机科学 2026-04-14 Alexander Schugardt

A key to building functional devices on the basis of single molecule magnets in the framework of molecular electronics is the ability to deposit and study these molecules on a surface, because the structural, electronic and magnetic…

介观与纳米尺度物理 · 物理学 2016-01-26 Judith Donner , Jan-Philipp Broschinski , Bastian Feldscher , Anja Stammler , Hartmut Bögge , Thorsten Glaser , Daniel Wegner

In this paper, a reduced-rank scheme with joint iterative optimization is presented for direction of arrival estimation. A rank-reduction matrix and an auxiliary reduced-rank parameter vector are jointly optimized to calculate the output…

数据结构与算法 · 计算机科学 2016-11-17 L. Wang , R. C. de Lamare , M. Haardt

Vertical electric fields need to remain orders of magnitude smaller than the horizontal electric field in storage ring electric dipole moment experiments. Otherwise, the coupling with the magnetic dipole moment dominates the spin…

加速器物理 · 物理学 2020-12-25 Selcuk Haciomeroglu

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…

最优化与控制 · 数学 2021-04-12 Martin Siebenborn

In the present paper, an integrated paradigm for topology optimization on complex surfaces with arbitrary genus is proposed. The approach is constructed based on the two-dimensional (2D) Moving Morphable Component (MMC) framework, where a…

最优化与控制 · 数学 2022-02-03 Wendong Huo , Chang Liu , Zongliang Du , Xudong Jiang , Zhengyu Liu , Xu Guo

This paper presents an investigation of two search techniques, tabu search (TS) and simulated annealing (SA), to assess their relative merits when applied to engineering design optimisation. Design optimisation problems are generally…

神经与进化计算 · 计算机科学 2016-05-20 Andy M. Connor , Kristina Shea

The Finite element method (FEM) has long served as the computational backbone for topology optimization (TO). However, for designing structures undergoing large deformations, conventional FEM-based TO often exhibits numerical instabilities…

计算工程、金融与科学 · 计算机科学 2026-03-17 Rahul Kumar Padhy , Aaditya Chandrasekhar , Krishnan Suresh

We compare surface metrics for shape optimization problems with constraints, consisting mainly of partial differential equations (PDE), from a computational point of view. In particular, classical Laplace-Beltrami type based metrics are…

最优化与控制 · 数学 2021-04-12 Volker Schulz , Martin Siebenborn

We use the parabolic wave equation to study the propagation of x-rays in tapered waveguides by numercial simulation and optimization. The goal of the study is to elucidate how beam concentration can be best achieved in x-ray optical…

材料科学 · 物理学 2009-11-13 Sebastian Panknin , Alexander K. Hartmann , Tim Salditt

Many standard structural quantities, such as order parameters and correlation functions, exist for common condensed matter systems, such as spherical and rod-like particles. However, these structural quantities are often insufficient for…

软凝聚态物质 · 物理学 2012-01-18 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer