Article
Computer Science, Artificial Intelligence
Yufei Zha, Zhuling Qiu, Jingxian Sun, Peng Zhang, Wei Huang
Summary: The proposed method jointly learns spatial-channel regularization for visual tracking, enhancing the discriminative ability of the filter, and develops temporal coherence of the target to make the filter more robust.
Article
Automation & Control Systems
Anurag Shukla, N. Sukavanam
Summary: In this manuscript, we investigate the interior approximate controllability for a subsequent semilinear second-order system. By converting it into an equivalent first-order semilinear control system, the approximate controllability of the proposed system is obtained using the Leray-Schauder alternative theorem and principle of contraction.
INTERNATIONAL JOURNAL OF CONTROL
(2022)
Article
Mathematics, Interdisciplinary Applications
Ying Guo, Chong Lin, Bing Chen
Summary: This paper investigates the design problem of reduced-order H infinity filters for singular fractional-order systems. It provides necessary and sufficient conditions for the designs of both reduced-order H infinity filters and zeroth-order H infinity filters. The results are shown to include those in recent works as special cases. Illustrative examples are presented to demonstrate the effectiveness of the results.
FRACTAL AND FRACTIONAL
(2022)
Article
Computer Science, Interdisciplinary Applications
Michele Girfoglio, Annalisa Quaini, Gianluigi Rozza
Summary: The study presents a ROM based on POD-Galerkin, combining a two-step algorithm called EF and a finite volume method to implement the Leray model. The novelty lies in applying spatial filtering in both snapshot collection and reduced order model, as well as considering the pressure field at a reduced level.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Chemistry, Multidisciplinary
Peiting Gu, Peizhong Liu, Jianhua Deng, Zhi Chen
Summary: The paper proposes a spatial-temporal regularization module based on the BACF framework, which effectively deals with boundary effects by introducing temporal regularization and improves target recognition accuracy. Experimental results show that the algorithm outperforms many state-of-the-art trackers and achieves good performance on the OTB-100 benchmark.
APPLIED SCIENCES-BASEL
(2021)
Article
Engineering, Multidisciplinary
Mengwu Guo, Shane A. McQuarrie, Karen E. Willcox
Summary: This work proposes a Bayesian inference method for the reduced-order modeling of time-dependent systems. The study formulates the task of learning a reduced-order model as a Bayesian inverse problem, with a Gaussian prior and likelihood. The resulting posterior distribution characterizes the operators defining the reduced-order model, enabling predictions with uncertainty. The method estimates statistical moments of the predictions through efficient Monte Carlo sampling.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Maria Strazzullo, Michele Girfoglio, Francesco Ballarin, Traian Iliescu, Gianluigi Rozza
Summary: This article investigates the role of numerical stabilization in reduced order models (ROMs) of marginally-resolved, convection-dominated incompressible flows. The study compares two ROM strategies and finds that consistent numerical stabilization is beneficial in this type of flow.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Materials Science, Multidisciplinary
Jialu Song, Hujin Xie, Yongmin Zhong, Jiankun Li, Chengfan Gu, Kup-Sze Choi
Summary: The paper introduces a new reduced-order nonlinear Kalman filter to emulate nonlinear behaviors of biological deformable tissues for accurate simulation of tissue physical deformation in real time. The approach reduces the order of the nonlinear state-space equation to decrease computational cost, constructing an extended Kalman filter to calculate tissue physical deformation behaviors online. Simulation results and comparison analysis verify the effectiveness of the proposed method.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2022)
Article
Geochemistry & Geophysics
Li Hao, Li Guo-Fa, Ma Xiong, Zhang Jia-Liang, Meng Qing-Long, Zhang Zhu-Xin
Summary: This paper describes a structurally constrained deconvolution algorithm that enhances the stability and spatial continuity of conventional deconvolution methods by introducing reflection structure features as spatial reflection regularization. Synthetic and field data examples confirm the correctness and feasibility of the proposed method.
APPLIED GEOPHYSICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Achuth Nair Balachandran Nair, Stefan Pirker, Mahdi Saeedipour
Summary: Mathematical modeling of blood flow with resolved description of RBC mechanics has been a challenge due to physical complexities and high computational costs. This study proposes an efficient approach for simulating blood flow with suspended RBCs based on a reduced-order model and discrete element method. The proposed method accurately predicts RBC dynamics and blood flow characteristics, showing good agreement with experimental data and literature. It offers a valuable tool for numerical investigations in bio-microfluidic applications.
COMPUTATIONAL PARTICLE MECHANICS
(2022)
Article
Automation & Control Systems
Sahaj Saxena, Shivanagouda Biradar
Summary: After the evolution of fractional-order control concept, striking developments have taken place in feedback control theory. However, for large-scale systems, these well-established FO techniques can lead to infeasible solutions. This paper proposes a three-fold control policy to overcome this issue, utilizing reduced-order models, internal model control framework, PID controllers, and FO integrators.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2022)
Article
Biology
Milad Habibi, Roshan M. D'Souza, Scott T. M. Dawson, Amirhossein Arzani
Summary: A computationally efficient data assimilation method ROM-KF was proposed in this study to enhance the accuracy of cardiovascular flow modeling by combining reduced-order modeling and Kalman filtering. The results showed that ROM-KF method could reconstruct near-wall hemodynamics more accurately than computational and synthetic experimental datasets.
COMPUTERS IN BIOLOGY AND MEDICINE
(2021)
Article
Chemistry, Analytical
Jonghyun Kim, Kyeonghoon Jeong, Moon Gi Kang
Summary: In this paper, a crosstalk correction method for color filter array (CFA) image sensors based on L-p-regularized multi-channel deconvolution is proposed. The method improves color fidelity and spatial resolution and outperforms conventional methods.
Article
Engineering, Mechanical
K. E. Tatsis, K. Agathos, E. N. Chatzi, V. K. Dertimanis
Summary: This study introduces a hierarchical Bayesian filter for recursive input, state, and parameter estimation using incomplete and noisy output-only vibration measurements. The proposed scheme utilizes a dual-layered approach where evolving parameter states are controlled by an evolution strategy, creating a bank of recursively weighted filters for estimating states and unknown inputs.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Mathematics
Sarupa Debnath, Soumya Ranjan Sahoo, Bernard Twum Agyeman, Jinfeng Liu
Summary: In this work, a sensitivity-based approach using recurrent neural networks (RNN) is proposed for constructing reduced-order state estimators. The approach selects appropriate inputs and outputs for data collection and model development based on sensitivity analysis to accurately estimate desired outputs. The long short-term memory (LSTM) neural network, a type of RNN, is employed to train the data-driven model, and an extended Kalman filter is designed for estimating the target outputs. Simulations demonstrate the effectiveness and applicability of the proposed approach.
Article
Mathematics, Applied
Guo Zheng, Zengqiang Cao, Yuehaoxuan Wang, Reza Talemi
Summary: This study introduces two novel methods for predicting the fatigue response of Dynamic Cold Expansion (DCE) and Static Cold Expansion (SCE) open-hole plates. The accuracy of the prediction is enhanced by considering stress distributions and improving existing methods. The study also discusses the mechanisms behind fatigue life enhancement and fatigue crack propagation modes in cold expansion specimens.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Eric Heppner, Tomohiro Sasaki, Frank Trommer, Elmar Woschke
Summary: This paper presents a modeling approach for estimating the bonding strength of friction-welded lightweight structures. Through experiments and simulations, a method for evaluating the bonding strength of friction-welded lightweight structures is developed, and the plausibility and applicability of the model are discussed.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Piermario Vitullo, Alessio Colombo, Nicola Rares Franco, Andrea Manzoni, Paolo Zunino
Summary: Many applications in computational physics involve approximating problems with microstructure, characterized by multiple spatial scales in their data. However, these numerical solutions are often computationally expensive due to the need to capture fine details at small scales. Traditional projection based reduced order models (ROMs) fail to resolve these issues, even for second-order elliptic PDEs commonly found in engineering applications. To address this, we propose an alternative nonintrusive strategy to build a ROM, that combines classical proper orthogonal decomposition (POD) with a suitable neural network (NN) model to account for the small scales.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Chanh Dinh Vuong, Xiaofei Hu, Tinh Quoc Bui
Summary: In this paper, we present a dynamic description of the smoothing gradient-enhanced damage model for the simulation of quasi-brittle failure localization under time-dependent loading conditions. We introduce two efficient rate-dependent damage laws and various equivalent strain formulations to analyze the complicated stress states and inertia effects of the dynamic regime, enhancing the capability of the adopted approach in modeling dynamic fracture and branching.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Alexandre D. C. Amaro, A. Francisca Carvalho Alves, F. M. Andrade Pires
Summary: This study focuses on analyzing various deformation mechanisms that affect the behavior of PC/ABS blends using computational homogenization. By establishing a representative microstructural volume element, defining the constitutive description of the material phases, and modeling the interfaces and matrix damage, accurate predictions can be achieved. The findings have important implications for broader applications beyond PC/ABS blends.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
David Hoffmeyer, A. R. Damanpack
Summary: This paper introduces a method for determining all six stress components for a cantilever-type beam that is subjected to concentrated end loads. The method considers an inhomogeneous cross-section and employs cylindrically orthotropic material properties. The efficacy of the method is validated by numerical examples and a benchmark example, and the analysis on a real sawn timber cross-section reveals significant disparities in the maximum stresses compared to conventional engineering approaches.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Vladimir Stojanovic, Jian Deng, Dunja Milic, Marko D. Petkovic
Summary: The present paper investigates the dynamic analysis of a coupled Timoshenko beam-beam or beam-arch mechanical system with geometric nonlinearities. A modified p-version finite element method is developed for the vibrations of a shear deformable coupled beam system with a discontinuity in an elastic layer. The main contribution of this work is the discovery of coupled effects and phenomena in the simultaneous vibration analysis of varying discontinuity and varying curvature of the newly modelled coupled mechanical system. The analysis results are valuable and have broader applications in the field of solids and structures.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Gihwan Kim, Phill-Seung Lee
Summary: The phantom-node method is applied in the phase field model for mesh coarsening to improve computational efficiency. By recovering the fine mesh in the crack path domain into a coarse mesh, this method significantly reduces the number of degrees of freedom involved in the computation.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Souhail Chaouch, Julien Yvonnet
Summary: In this study, an unsupervised machine learning-based clustering approach is developed to reduce the computational cost of nonlinear multiscale methods. The approach clusters macro Gauss points based on their mechanical states, reducing the problem from macro scale to micro scale. A single micro nonlinear Representative Volume Element (RVE) calculation is performed for each cluster, using a linear approximation of the macro stress. Anelastic macro strains are used to handle internal variables. The technique is applied to nonlinear hyperelastic, viscoelastic and elastoplastic composites.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Hoang-Giang Bui, Jelena Ninic, Christian Koch, Klaus Hackl, Guenther Meschke
Summary: With the increasing demand for underground transport infrastructures, it is crucial to develop methods and tools that efficiently explore design options and minimize risks to the environment. This study proposes a BIM-based approach that connects user-friendly software with effective simulation tools to analyze complex tunnel structures. The results show that modeling efforts and computational time can be significantly reduced while maintaining high accuracy.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Aslan Nasirov, Xiaoyu Zhang, David Wagner, Saikumar R. Yeratapally, Caglar Oskay
Summary: This manuscript presents an efficient model construction strategy for the eigenstrain homogenization method (EHM) for the reduced order models of the nonlinear response of heterogeneous microstructures. The strategy relies on a parallel, element-by-element, conjugate gradient solver, achieving near linear scaling with respect to the number of degrees of freedom used to resolve the microstructure. The linear scaling in the number of pre-analyses required to construct the reduced order model (ROM) follows from the EHM formulation. The developed framework has been verified using an additively manufactured polycrystalline microstructure of Inconel 625.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Atticus Beachy, Harok Bae, Jose A. Camberos, Ramana V. Grandhi
Summary: Emulator embedded neural networks leverage multi-fidelity data sources for efficient design exploration of aerospace engineering systems. However, training the ensemble models can be costly and pose computational challenges. This work presents a new type of emulator embedded neural network using the rapid neural network paradigm, which trains near-instantaneously without loss of prediction accuracy.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Arash Hajisharifi, Michele Girfoglio, Annalisa Quaini, Gianluigi Rozza
Summary: This paper introduces three reduced order models for reducing computational time in atmospheric flow simulation while preserving accuracy. Among them, the PODI method, which uses interpolation with radial basis functions, maintains accuracy at any time interval.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
D. Munoz, S. Torregrosa, O. Allix, F. Chinesta
Summary: The Proper Generalized Decomposition (PGD) is a Model Order Reduction framework used for parametric analysis of physical problems. It allows for offline computation and real-time simulation in various situations. However, its efficiency may decrease when the domain itself is considered as a parameter. Optimal transport techniques have shown exceptional performance in interpolating fields over geometric domains with varying shapes. Therefore, combining these two techniques is a natural choice. PGD handles the parametric solution while the optimal transport-based methodology transports the solution for a family of domains defined by geometric parameters.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Jothi Mani Thondiraj, Akhshaya Paranikumar, Devesh Tiwari, Daniel Paquet, Pritam Chakraborty
Summary: This study develops a diffused interface CPFEM framework, which reduces computational cost by using biased mesh and provides accurate results using non-conformal elements in the mesh size transiting regions. The accuracy of the framework is confirmed through comparisons with sharp and stepped interface results.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)