Review
Computer Science, Interdisciplinary Applications
Natee Panagant, Nantiwat Pholdee, Sujin Bureerat, Ali Riza Yildiz, Seyedali Mirjalili
Summary: This study compares the performance of 14 new and established multi-objective metaheuristics in solving truss optimization problems, providing insights into the pros and cons of these algorithms and aiding in designing customized algorithms for such problems.
ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING
(2021)
Article
Optics
Conner Ballew, Gregory Roberts, Andrei Faraon
Summary: In this study, a volumetric meta-optics technology is demonstrated to classify light simultaneously based on direction, wavelength, and polarization. The technology can be applied in wavefront sensing, beam profiling, and plenoptic sensors.
Article
Mathematics
Gennadii Alekseev, Alexey Lobanov
Summary: The article studies inverse problems for a 3D model of electrostatics in the development of technologies for designing electric cloaking and shielding devices. The devices are assumed to consist of concentric spherical layers filled with homogeneous anisotropic or isotropic media. A mathematical technique based on inverse problems for the electrostatic model is developed, solving finite-dimensional extremum problems using global minimization methods. The inverse problems are replaced by control problems, where the permittivities of separate layers act as controls. A numerical algorithm based on the particle swarm optimization method is proposed. The developed algorithm shows simplicity of technical implementation and the highest performance in the class of devices considered.
Article
Physics, Applied
Tyler W. Hughes, Momchil Minkov, Victor Liu, Zongfu Yu, Shanhui Fan
Summary: Metalenses for optical beam manipulation have a significant impact in many applications, but the large physical size relative to the optical wavelength poses a barrier to accurate simulations. Advances in computing hardware now make it feasible to simulate large area metalenses within a reasonable time frame, providing significant opportunities for the field.
APPLIED PHYSICS LETTERS
(2021)
Article
Computer Science, Interdisciplinary Applications
Yoshiki Fukada
Summary: This study introduces an efficient approximation method for the Moore-Penrose pseudo-inverse, which significantly reduces computational cost by adding a small-amplitude diagonal matrix and utilizing a projection matrix to remove components of zero eigenvectors. The method is applied to stiffness matrices in support-free elasticity problems, showing excellent accuracy and efficiency. Conducting robust topology optimization on fine-mesh problems leads to structures with biological features.
COMPUTERS & STRUCTURES
(2021)
Review
Optics
Guillermo Angeris, Jelena Vuckovic, Stephen Boyd
Summary: In the field of photonic design, scientists and engineers often face optimization problems that are difficult to solve globally, leading to the development of heuristic methods for approximate solutions. Algorithmic performance bounds require significant computation but have shown that heuristic designs are nearly optimal in practice.
Article
Computer Science, Artificial Intelligence
Shima Kamyab, Zohreh Azimifar, Rasool Sabzi, Paul Fieguth
Summary: This paper investigates various deep learning strategies for solving inverse problems, classifying them into three categories and studying their robustness through extensive experiments on representative samples. Based on statistical analyses, the most robust solution category for each type of inverse problem is proposed.
PEERJ COMPUTER SCIENCE
(2022)
Article
Computer Science, Artificial Intelligence
Lorenzo Audibert, Houssem Haddar, Xiaoli Liu
Summary: In this study, we propose a rapid and robust algorithm for solving inverse acoustic scattering problems. By utilizing a level-set method to represent the geometry of the obstacle, and introducing a new scheme for updating the geometry, the algorithm achieves a reduction in the number of iterations and an improvement in reconstruction accuracy.
SIAM JOURNAL ON IMAGING SCIENCES
(2022)
Article
Engineering, Multidisciplinary
Filippo Agnelli, Grigor Nika, Andrei Constantinescu
Summary: In this study, the micro-architecture of thin elastic panels is designed to control their macroscopic behavior, considering both in-plane and out-of-plane stiffness as well as the extension-bending coupling effects. A topology optimization method is utilized to systematically capture the optimal micro-architecture within the unit cell. The results demonstrate the feasibility of simultaneously controlling the in-plane, out-of-plane, and coupled behavior, which enables the transformation of a flat panel into a dome or a saddle-shaped structure. The obtained unit cells can be used as elementary blocks for creating 3D printable objects with shape-morphing capabilities.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mechanics
Kalyana B. Nakshatrala
Summary: This study provides a theoretical analysis of material design problems for fluid flow through porous media using the adjoint state method. The results offer rigorous answers to how to pose such design problems and have significant implications for computational material design.
Article
Mathematics, Applied
Michael Herty, Elisa Iacomini
Summary: This study applies and adapts the ensemble Kalman Filter method and a weighted function approach to solve coupled inverse nonlinear problems. The analysis of the mean field limit of the ensemble method leads to an explicit update formula for the weights. Numerical examples demonstrate the improved performance of the proposed method.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
(2023)
Article
Geochemistry & Geophysics
Xiaowei Shen, Haowen Hu, Zhongwang Wang, Xiuyun Chen, Chengbin Du
Summary: This paper introduces a stochastic analysis method for linear elastic fracture mechanics using Monte Carlo simulations and the scaled boundary finite element method based on proper orthogonal decomposition and radial basis functions. The semianalytical solutions obtained by the method allow for easy and accurate capture of stress intensity factors. The use of proper orthogonal decomposition and radial basis functions helps reduce model order and increase computational efficiency, while maintaining the versatility and accuracy of Monte Carlo simulations. The effectiveness and reliability of the proposed method is demonstrated through numerical examples of cracks in homogeneous and bimaterial plates, where crack inclination angles are set as uncertain variables, and it is noted that the method becomes more advantageous for larger scale problems.
Article
Computer Science, Interdisciplinary Applications
Bin Li, Xiaoying Zhuang, Xiaolong Fu, Timon Rabczuk
Summary: This paper presents a new methodology for topology optimization of microstructures based on perturbation analysis and the penalty methods. The homogenized material coefficients are computed numerically using perturbation analysis, and periodic boundary conditions are imposed using the penalty methods. Sensitivity analysis is implemented without the need for the adjoint method, and the method can also be extended to multi-field analysis.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Lukas C. Hoghoj, Cian Conlan-Smith, Ole Sigmund, Casper Schousboe Andreasen
Summary: This paper presents a method for simultaneous optimization of the outer shape and internal topology of aircraft wings, with the objective of minimizing drag subject to lift and compliance constraints for multiple load cases. The physics are evaluated by the means of a source-doublet panel method for the aerodynamic response and linear elastic finite elements for the structural response, which are one-way coupled. Wings of small fixed-wing airplanes both with and without a stiffening strut are optimized. The resulting wings show internal topologies with struts and wall-truss combinations, depending on the design freedom of the shape optimization. The lift distributions of the optimized wings show patterns like the ones obtained when performing optimization of wing shapes with constraints on the bending moment at the root.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Kun Wang, Ming Cai, Pingzhang Zhou, Gengkai Hu
Summary: In this study, homogenization of both continuum and discrete PUCs was achieved in an elegant manner by utilizing the Cauchy-Born hypothesis. The derivation process of the effective elasticity tensor was shown to be easy and achievable using commercial CAE software. Numerical examples demonstrated the accuracy and validity of the proposed method in comparison with literature results, confirming the effectiveness of the Cauchy-Born hypothesis based numerical homogenization approach.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
