Article
Engineering, Multidisciplinary
Morgan Gortz, Per Ljung, Axel Malqvist
Summary: We propose and analyze a multiscale method for wave propagation problems on spatial networks. By introducing a coarse scale and utilizing a finite element space interpolated onto the network, we construct a discrete multiscale space using the localized orthogonal decomposition methodology. The proposed method combines spatial discretization with an energy conserving temporal scheme, and under the assumption of well-prepared initial data, we derive an a priori error bound of optimal order with respect to space and time discretization. In addition, we present numerical experiments that validate our theoretical findings.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics, Applied
Hongqi Yang, Rong Zhang
Summary: A modified minimal error method for nonlinear integral equations is proposed in this study, which, combined with the discrepancy principle as stopping rule, serves as a regularization method that converges to an exact solution under certain conditions. The convergence of this method through multiscale Galerkin methods is also demonstrated, with numerical results showcasing its accuracy and efficiency.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
(2022)
Article
Geochemistry & Geophysics
Lian Liu, Bo Yang, Yi Zhang, Yixian Xu, Zhong Peng, Feng Wang
Summary: The nonlinear conjugate gradient (NLCG) algorithm is a popular linearized method for solving the frequency-domain electromagnetic (EM) geophysical inverse problem. To accelerate the solution process within the linearized framework, the adaptive gradient descent (AGD) algorithm is introduced, which manipulates the cumulative gradients and updates from previous iterations. A framework combining the AGD algorithm with a cool-down scheme is implemented for the inversion of magnetotelluric (MT) data, and a tolerance strategy is proposed to optimize the global learning rate. The inverted results demonstrate that both AGD algorithms (Adam and RMSProp) can achieve comparable results and save more than a third of CPU time compared to the NLCG algorithm.
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING
(2023)
Article
Computer Science, Interdisciplinary Applications
Tongxi Liu, Maya Israel
Summary: This study explored students' problem-solving processes in a puzzle-based game using data mining techniques. The results showed that most students faced difficulties in certain phases, and only a few were able to advance to higher phases by applying efficient strategies. The findings provide important insights into how students effectively solve problems.
COMPUTERS & EDUCATION
(2022)
Article
Engineering, Industrial
I. Ozan Yilmazlar, Mary E. Kurz
Summary: The global competitive environment requires companies to produce high-quality products at a lower cost. To avoid work overload in mixed-model assembly lines, the car sequencing problem (CSP) controls the sequence of models and restricts the number of work-intensive options. This study shows that exact solution procedures are insufficient for industry application, but provides improved lower bounds for CSPLib instances and compares different local search metaheuristics for solving CSP.
JOURNAL OF MANUFACTURING SYSTEMS
(2023)
Article
Mathematics
Askhat Diveev, Elizaveta Shmalko
Summary: The development of artificial intelligence systems relies on machines being able to generate algorithms or control systems independently to solve problems. However, implementing optimal control modes poses challenges. This article introduces an adaptive synthesized optimal control approach that uses numerical machine learning methods to change the position of the control object and select the optimal stable equilibrium point. The approach is demonstrated using the optimal control problem of a quadcopter.
Article
Physics, Multidisciplinary
Arsen Shutovskyi, Vasyl Sakhnyuk, Vadim Muliar
Summary: A new integral equation is proposed to describe the behavior of the momentum space wave function in the one-dimensional Coulomb potential. The equation is found to be a homogeneous Fredholm integral equation of the second kind and a singular integral equation, due to a singularity in its kernel. The integral representation of the integral kernel plays a crucial role in solving this singular integral equation. The application of this technique allows the wave function in momentum representation to be simultaneously a solution of the homogeneous Fredholm integral equation and the linear Volterra integral equation.
Article
Computer Science, Interdisciplinary Applications
Divay Garg, Kamana Porwal
Summary: This article discusses a posteriori error analysis for HCT and Morley finite element methods applied to the fourth order obstacle problem and the distributed elliptic optimal control problem with pointwise state constraints. The distributed elliptic optimal control problem is transformed into a fourth order obstacle problem by eliminating the control variable. The article examines the reliability and efficiency of the error estimator and presents numerical experiments that demonstrate its effectiveness in guiding adaptive mesh refinement and reducing computational cost.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2023)
Article
Optics
Shoukang Chang, Wei Ye, Xuan Rao, Huan Zhang, Liqing Huang, Mengmeng Luo, Yuetao Chen, Shaoyan Gao, Liyun Hu
Summary: In this study, we derived the asymptotically tight QZZB for phase estimation considering photon loss and phase diffusion. Our results showed that coherent state (CS) always performed better than squeezed vacuum states (SMSVS and TMSVS) in the photon loss environment. Interestingly, in the phase-diffusion environment, the estimation performance of the QZZB for TMSVS can be better than that for CS over a wide range of phase-diffusion strength.
Article
Engineering, Multidisciplinary
Chuang Xu, Huashi Yang, Yunsheng Zhan, Rui Dai, Chunying Dong, Pengmin Hu
Summary: In this paper, a novel non-conforming coupling radial integration IGABEM (RI-IGABEM) is proposed to solve multidimensional and multiscale thermoelastic-viscoelastic problems. The displacement and regularized strain boundary integral equations are derived, and the time-dependent shear modulus is expressed in the form of Prony series. The radial integration method (RIM) is used to transform domain integrals into equivalent boundary integrals and an adaptive integral method based on hierarchical quadtree decomposition algorithm is proposed.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Shinseong Kang, Kyunghoon Lee
Summary: This article discusses the a posteriori error analysis of a reduced basis method and proposes an adaptive Gaussian process approach. Compared to the traditional successive constraint method, the AGP method provides more accurate and faster error estimation.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Computer Science, Artificial Intelligence
Yongliang Lu, Jin-Kao Hao, Qinghua Wu
Summary: In this work, we investigate a transformation approach to solve the Clustered Traveling Salesman Problem (CTSP) by converting it to the well-studied Traveling Salesman Problem (TSP). We explore the performance of state-of-the-art TSP solvers on clustered instances converted from CTSP and compare it with methods specifically designed for CTSP. Intensive computational experiments on benchmark instances are presented to draw conclusions.
PEERJ COMPUTER SCIENCE
(2022)
Article
Mathematics, Interdisciplinary Applications
Tobias Kaiser, Joris J. C. Remmers, Marc G. D. Geers
Summary: Computational multiscale methods rely on accurate representation of microscale morphology and its constituents for quality prediction, which makes the formulations computationally demanding. This study explores the applicability of an adaptive wavelet-based collocation approach, deriving wavelet-based scale-bridging relations and a mapping algorithm. In-depth analysis of elementary problems in multiscale mechanics and analytical solutions are used to assess the accuracy of simulation results.
COMPUTATIONAL MECHANICS
(2022)
Article
Engineering, Multidisciplinary
Fan Li, Liping Wang, Decheng Wang, Jun Wu, Hongjun Zhao
Summary: In this paper, an end-to-end Adaptive Multiscale Fully Convolutional Network (AMFCN) is proposed for intelligent bearing fault diagnosis in various noise environments. The AMFCN demonstrates superior performance compared to five advanced baseline models, surpassing conventional CNNs and other advanced multiscale CNNs. It enhances feature extraction ability, noise immunity, and robustness, making it an effective solution for accurate and robust fault diagnosis using CNNs in noisy environments.
Article
Physics, Multidisciplinary
Laszlo Gyongyosi
Summary: This article discusses the mathematical model of adaptive problem solving and objective function evaluation in gate-model quantum computers, with a focus on the stability of problem solving.
Article
Thermodynamics
John S. Haywood, Adrian Sescu, Shanti Bhushan, Christopher E. Kees
Summary: The paper introduces a new synthetic eddy method that constructs a fundamental eddy by superposing three Hill's vortices to synthesize an anisotropic turbulent velocity field that matches a given Reynolds stress tensor. Testing on various cases shows a small transition from artificial turbulence to realistic turbulence in the vicinity of the inflow boundary.
FLOW TURBULENCE AND COMBUSTION
(2022)
Article
Computer Science, Interdisciplinary Applications
Eirik Valseth, Clint Dawson
Summary: In this study, stable finite element approximations of the two-dimensional shallow water equations were obtained using the AVS-FE method, which also provided accurate a posteriori error estimators. Analysis showed that space-time slices are superior for simulations over long times, while the two methods yield indistinguishable solutions for short times.
COMPUTATIONAL GEOSCIENCES
(2022)
Article
Engineering, Multidisciplinary
Christopher E. Kees, J. Haydel Collins, Alvin Zhang
Summary: This study introduces a new method that combines CutFEM with equivalent polynomials to achieve exact integration for problems involving moving embedded solid structures in fluid. The method has the same number of degrees of freedom as the conforming Galerkin method, retains the convergence properties of the original CutFEM method, and is applicable to problems with non-conforming interfaces.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Geochemistry & Geophysics
Ke Wang, Jingyi Chen, Amin Kiaghadi, Clint Dawson
Summary: A new land-cover classification algorithm utilizing radar data successfully classified nine land-cover types, demonstrating good performance and validation with NOAA data. The algorithm is robust and showed promising results in surface roughness mapping in the New Orleans area, providing potential to fill temporal gaps in existing databases.
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING
(2022)
Article
Computer Science, Interdisciplinary Applications
Jean-Luc Guermond, Chris Kees, Bojan Popov, Eric Tovar
Summary: The objective of this paper is to propose a hyperbolic relaxation technique for the dispersive Serre-Green-Naghdi equations with full topography effects, and it is validated by comparison with experimental results.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Mathematics, Applied
C. T. Kelley
Summary: This study investigates the application of reduced precision arithmetic in solving linear equations for the Newton step. The experiments show that using single precision in the linear solve has little negative effect on the nonlinear convergence rate, if the backward error is neglected. However, considering the effects of backward error, the usual textbook estimates are overly pessimistic and even the state-of-the-art estimates using probabilistic rounding analysis do not fully conform to experiments. In specific examples, it is observed that using single precision does not degrade the convergence rates for the nonlinear iteration as the dimension increases, and similar results are seen in the half precision case.
Article
Chemistry, Multidisciplinary
Wen-Huai Tsao, Ying-Chuan Chen, Christopher E. Kees, Lance Manuel
Summary: This study focuses on the application of porous media in mitigating sloshing and controlling vibration in LNG vessels and offshore structures. By placing porous media in a water tank, the dynamic characteristics of the sloshing fluid can be altered, leading to a damping effect that protects the integrity of a liquefied natural gas tank. The study investigates the interaction between the sloshing fluid and the floating body in an ocean environment, with a specific focus on wave-induced sloshing fluid and its interaction with the substructure. The results confirm the effectiveness of porous media in controlling vibration and mitigating sloshing response.
APPLIED SCIENCES-BASEL
(2022)
Article
Computer Science, Interdisciplinary Applications
Maximilian Bremer, John Bachan, C. Y. Chan, Clint Dawson
Summary: This article introduces an adaptive local timestepping algorithm using an optimistic parallel discrete event simulation. It also presents waiting heuristics and a semi-static load balancing scheme. The algorithm can effectively simulate conservation laws, improving work efficiency and performance.
ACM TRANSACTIONS ON MODELING AND COMPUTER SIMULATION
(2022)
Article
Nuclear Science & Technology
Sam Pasmann, Ilham Variansyah, C. T. Kelley, Ryan McClarren
Summary: In this work, a fixed-seed Quasi-Monte Carlo (QMC) calculation is used to replace standard quadrature techniques in deterministic linear solvers for more accurate and efficient solutions to the neutron transport equation (NTE). QMC techniques decrease variance and increase accuracy by using low-discrepancy sequences to sample the phase-space. The hybrid iterative-QMC solver achieves faster convergence rates and requires fewer iterations compared to traditional methods.
NUCLEAR SCIENCE AND ENGINEERING
(2023)
Review
Environmental Sciences
Hannah R. Peel, Fatai O. Balogun, Christopher A. Bowers, Cass T. Miller, Chelsea S. Obeidy, Matthew L. Polizzotto, Sadeya U. Tashnia, David S. Vinson, Owen W. Duckworth
Summary: This article examines the geochemical and hydrological information about the release and transport of potentially hazardous geogenic contaminants and the challenges in understanding their behavior in the subsurface. The development and utilization of geochemical models are explored, and the gaps in knowledge in translating subsurface conditions into numerical models are described, along with an outlook on future research needs and developments.
Article
Chemistry, Physical
Hyuk-Yong Kwon, Gregory M. M. Curtin, Zachary Morrow, C. T. Kelley, Elena Jakubikova
Summary: Electronic structure calculations on small systems with chemical accuracy are challenging for current NISQ devices due to limitations in basis sets. The use of adaptive basis sets, where exponents and contraction coefficients depend on molecular structure, greatly improves the accuracy without increasing the basis set size. An adaptive minimal basis set for quantum computing on H-2 molecules is optimized and applied to generate the H-2 potential energy surface on IBM-Q quantum devices, achieving double-zeta quality calculations without using twice as many qubits.
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
(2023)
Article
Humanities, Multidisciplinary
Cass T. Miller, Rebecca L. Rice
Summary: The authors assess the current status of scholarly publishing and conclude that it is both in flux and unsustainable. They propose a new model for academic publishing based on the scholarly community alliance, where academics take on the responsibilities of peer review, article production, and knowledge dissemination. Challenges and potential solutions to implementing this model are explored, and initial efforts to build support for the proposed model are reported.
JOURNAL OF SCHOLARLY PUBLISHING
(2023)
Article
Engineering, Civil
Shuo Yang, Frank T. -C. Tsai, Peter Bacopoulos, Christopher E. Kees
Summary: This study compares the performance of the stochastic optimization method CMA-ES and the data assimilation method ES-LM in solving inverse problems in groundwater modeling. The results show that ES-LM outperforms CMA-ES in high-dimensional inverse problems regarding efficiency and computational costs, but it can underestimate the uncertainty of model parameters.
JOURNAL OF HYDROLOGY
(2023)
Article
Engineering, Civil
Mark Loveland, Eirik Valseth, Jessica Meixner, Clint Dawson
Summary: This article discusses the importance of using numerical models to predict the wind wave spectrum of the ocean. The article explores various finite element discretizations of the Wave Action Balance Equation and examines their convergence properties through simplified 2-D test cases. It also introduces a new spectral wind wave model called WAVEx and its implementation method.
COASTAL ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Wen-Huai Tsao, Christopher E. Kees
Summary: This paper presents the applications of the arbitrary Lagrangian-Eulerian (ALE) method on the regularized boundary integral method (RBIM) for simulating water wave transformation over complex topography and wave-structure interaction. RBIM computes the singular integrals of the source and doublet functions through coordinate transformation. The ALE approach is adopted to avoid distorted nodal distribution and to conveniently apply free-surface boundary conditions. The numerical method is validated through examples and the advantages of ALE-RBIM over MEL-BEM are shown.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
