Article
Engineering, Multidisciplinary
Sreehari Peddavarapu
Summary: This paper presents a new two-level local projection meshfree stabilization (LPMS) method for convection diffusion problems suitable to a linear order approximation. LPMS method achieves a stable solution by utilizing fine scales defined on the subcells of Voronoi cells of SCNI. By combining LPMS with SCNI, the need for derivatives in computational process is eliminated. The present LPMS method is found to be in good agreement with the classical numerical methods for problems with thin layers.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Mathematics, Interdisciplinary Applications
Huy Anh Nguyen, Satoyuki Tanaka, Tinh Quoc Bui
Summary: In this paper, a combined method of enriched reproducing kernel particle method and stabilized conforming nodal integration (SCNI) is proposed for material interface problems. SCNI is used for domain integration to eliminate zero-energy modes in direct nodal integration. The proposed method enriches the approximation with special functions based on the level set function to model weak discontinuities at material interfaces. Numerical examples in two-dimensional linear elasticity demonstrate that the method significantly reduces strain oscillations and achieves optimal convergence rates.
COMPUTATIONAL PARTICLE MECHANICS
(2023)
Article
Engineering, Multidisciplinary
Sreehari Peddavarapu, Raghuraman Srinivasan
Summary: This paper presents a comparative study on the LME based meshfree stabilization methods for convection dominated convection-diffusion problems. A new meshfree stabilization scheme is also proposed and compared with existing methods. The effect of different priors and radius of support on the methods are studied.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Computer Science, Software Engineering
Zhongzhu Chen, Marcia Fampa, Amelie Lambert, Jon Lee
Summary: The maximum-entropy sampling problem is a fundamental and challenging combinatorial-optimization problem with applications in spatial statistics. It involves finding the maximum-determinant order-s principal submatrix of an order-n covariance matrix. Exact solutions for this NP-hard problem are based on a branch-and-bound framework, with many known upper bounds relying on convex optimization. Mixing these bounds can lead to improved overall bounds.
MATHEMATICAL PROGRAMMING
(2021)
Article
Computer Science, Software Engineering
Siddharth Barman, Omar Fawzi, Suprovat Ghoshal, Emirhan Gurpinar
Summary: The maximum coverage problem aims to maximize coverage rate by selecting subsets in a given universe. By adjusting the way of counting elements, researchers derived the maximum l-multi-coverage problem, which encompasses both the maximum coverage and linear objective extremes.
MATHEMATICAL PROGRAMMING
(2022)
Article
Mathematics
Patrick Massot, Melanie Theilliere
Summary: This paper introduces a new perspective on the relationship between convex integration and the holonomic approximation theorem. It explains how to prove the holonomic approximation theorem for first-order jets by reducing it to proving the flexibility of a specific relation.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
(2023)
Article
Mathematics, Interdisciplinary Applications
Elizaveta Wobbes, Roel Tielen, Matthias Moller, Cornelis Vuik
Summary: Both the material-point method (MPM) and optimal transportation meshfree (OTM) method have been compared in this paper, with the introduction of a novel unified approach combining both design principles. This approach reduces costs and stability issues typically encountered in MPM computations.
COMPUTATIONAL PARTICLE MECHANICS
(2021)
Article
Computer Science, Information Systems
Sheng Liu, Annan Li, Jiahao Wang, Yunhong Wang
Summary: Video captioning is a challenging task that requires generating diverse and comprehensive descriptions. This study improves the performance of video captioning models by optimizing the training process, using bidirectional maximum entropy (BME) training and word co-occurrence (WCO) weighting. Experimental results show significant improvements on two datasets.
IEEE TRANSACTIONS ON MULTIMEDIA
(2023)
Article
Engineering, Environmental
Thi Xuyen Nguyen, Chia-Chien Tsai, Jagabandhu Patra, Oliver Clemens, Jeng-Kuei Chang, Jyh-Ming Ting
Summary: A Co-free high entropy spinel oxide (HESO) anode with balanced crystallinity and particle size was synthesized via a simple hydrothermal method and post annealing, showing excellent cycling stability and rate capability in Li-ion batteries. This study demonstrates the importance of particle size and crystallinity in optimizing anode performance for next-generation LIB electrode materials.
CHEMICAL ENGINEERING JOURNAL
(2022)
Article
Multidisciplinary Sciences
Sreehari Peddavarapu, S. Raghuraman
Summary: This research examines the performance of LME-based EFG method in heat conduction applications, using SCNI and MSCNI for integration testing, which were found to converge faster than other methods.
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
(2022)
Article
Computer Science, Information Systems
Li Ping Qian, Wenjie Zhang, Qian Wang, Yuan Wu, Xiaoniu Yang
Summary: In this paper, a UAV-aided NOMA communication network is proposed to ensure secure transmission and massive connectivity. Maximum total secrecy throughput is achieved by jointly optimizing the transmit power of SDs and the scheduling decisions of ADs. Numerical results demonstrate the superior performance of the proposed algorithm compared to benchmark schemes.
IEEE WIRELESS COMMUNICATIONS LETTERS
(2022)
Article
Mathematics
Xiao-Kang Wang, Wen-Hui Hou, Chao Song, Min-Hui Deng, Yong-Yi Li, Jian-Qiang Wang
Summary: This paper introduces a novel multi-criteria decision-making method called BW-MaxEnt, which combines the best-worst method and the maximum entropy method to identify the weights of unfamiliar criteria with incomplete decision information. The model is translated into a convex optimization problem and has an overall optimal solution. A practical application in the procurement of GPU workstations illustrates the feasibility of the proposed BW-MaxEnt method.
Article
Engineering, Electrical & Electronic
Yuanhao Wu, Tao Fan, Peijie Zhu, Rui Tan, Xianxiang Yu, Guolong Cui
Summary: A novel mismatched filter is designed to improve the detectability of extended targets by deliberately broadening the mainlobe width of the output response and concentrating the energy of scattering centers.
Article
Mathematics, Applied
Manotosh Kumbhakar, Rajendra K. Ray, Suvra Kanti Chakraborty, Koeli Ghoshal, Vijay P. Singh
Summary: This study derived the vertical distribution of streamwise velocity in wide-open channels by maximizing Tsallis entropy, leading to a highly nonlinear differential equation for velocity which was then transformed and analytically solved. The derived velocity profile was validated and found to perform better than existing velocity profiles based on other entropies. This methodology can also be applied to other open channel flow problems.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Chemistry, Multidisciplinary
Thi Xuyen Nguyen, Jagabandhu Patra, Chia-Chien Tsai, Wen-Ye Xuan, Hsin-Yi Tiffany Chen, Matthew S. S. Dyer, Oliver Clemens, Ju Li, Subhasish Basu Majumder, Jeng-Kuei Chang, Jyh-Ming Ting
Summary: High entropy oxide (HEO) is a new type of anode material for Li-ion batteries that allows for customized charge-discharge properties. However, the impact of a secondary phase has been overlooked. In this study, two types of Co-free HEOs were prepared, one with a plain cubic structure and the other with an additional tetragonal spinel oxide phase. It was found that the secondary phase improved the redox kinetics and reversibility of the electrodes. The cycling stability of the electrodes was also validated using density functional theory calculations. This study demonstrates for the first time the enhanced rate capability and cyclability of HEO electrodes induced by a secondary phase.
ADVANCED FUNCTIONAL MATERIALS
(2023)
Article
Construction & Building Technology
Louie L. Yaw, Sashi K. Kunnath, N. Sukumar
JOURNAL OF STRUCTURAL ENGINEERING
(2009)