Computer Science, Interdisciplinary Applications

Article Computer Science, Interdisciplinary Applications

One point per cluster spatially balanced sampling

Blair Robertson, Chris Price

Summary: Spatial sampling designs are crucial for accurate estimation of population parameters. This study proposes a new design method that generates samples with good spatial spread and performs favorably compared to existing designs.

COMPUTATIONAL STATISTICS & DATA ANALYSIS (2024)

Article Computer Science, Interdisciplinary Applications

A conservative semi-Lagrangian method for inhomogeneous Boltzmann equation

Sebastiano Boscarino, Seung Yeon Cho, Giovanni Russo

Summary: This work proposes a high order conservative semi-Lagrangian method for the inhomogeneous Boltzmann equation of rarefied gas dynamics. The method combines a semi-Lagrangian scheme for the convection term, a fast spectral method for computation of the collision operator, and a high order conservative reconstruction and a weighted optimization technique to preserve conservative quantities. Numerical tests demonstrate the accuracy and efficiency of the proposed method.

JOURNAL OF COMPUTATIONAL PHYSICS (2024)

Article Computer Science, Interdisciplinary Applications

Fast and scalable computation of shape-morphing nonlinear solutions with application to evolutional neural networks

William Anderson, Mohammad Farazmand

Summary: We develop fast and scalable methods, called RONS, for computing reduced-order nonlinear solutions. These methods have been proven to be highly effective in tackling challenging problems, but become computationally prohibitive as the number of parameters grows. To address this issue, three separate methods are proposed and their efficacy is demonstrated through examples. The application of RONS to neural networks is also discussed.

JOURNAL OF COMPUTATIONAL PHYSICS (2024)

Article Computer Science, Interdisciplinary Applications

Intelligent mesh generation for crack simulation using graph neural networks

Xiao Wang, Qingrui Yue, Xiaogang Liu

Summary: This study proposes a graph neural networks-based method to recover the missing connection information in crack meshes, and comparative analysis shows that the trained GraphSAGE outperforms other GNNs on triangular meshing task, revealing the potential of GNNs in restoring missing information.

COMPUTERS & STRUCTURES (2024)

Article Computer Science, Interdisciplinary Applications

A novel algorithm to model concrete based on geometrical properties of aggregate and its application

Pramod Kumar Gupta, Chandrabhan Singh

Summary: In this paper, a novel algorithm is developed to generate the geometrical model of coarse aggregate, and it is further applied in the generation of a finite element model for concrete. Through numerical simulation and comparison with existing literature, the effectiveness of the meso-model is verified.

COMPUTERS & STRUCTURES (2024)

Article Computer Science, Interdisciplinary Applications

A second order directional split exponential integrator for systems of advection-diffusion-reaction equations

Marco Caliari, Fabio Cassini

Summary: In this paper, a second order exponential scheme for stiff evolutionary advection-diffusion-reaction equations is proposed. The scheme is based on a directional splitting approach and uses computation of small sized exponential-like functions and tensor-matrix products for efficient implementation. Numerical examples demonstrate the advantage of the proposed approach over state-of-the-art techniques.

JOURNAL OF COMPUTATIONAL PHYSICS (2024)

Article Computer Science, Interdisciplinary Applications

A damage-informed neural network framework for structural damage identification

Hau T. Mai, Seunghye Lee, Joowon Kang, Jaehong Lee

Summary: In this work, an effective Damage-Informed Neural Network (DINN) is developed for pinpointing the position and extent of structural damage. By using a deep neural network and Bayesian optimization algorithm, the proposed method outperforms other algorithms in terms of accuracy and efficiency.

COMPUTERS & STRUCTURES (2024)

Article Computer Science, Interdisciplinary Applications

Data-driven characterization of viscoelastic materials using time-harmonic hydroacoustic measurements

Laura Rio-Martin, A. Prieto

Summary: Any numerical procedure in mechanics requires selecting an appropriate constitutive model for the material. The common assumptions for linear wave propagation in viscoelastic materials include the standard linear solid, Maxwell, Kelvin-Voigt, and fractional derivative models. Typically, the intrinsic parameters of the mathematical model are estimated based on available experimental data to fit the mechanical response of the chosen constitutive law. However, this approach may suffer from the uncertainty of inadequate model selection. In this work, the mathematical modeling and selection of frequency-dependent constitutive laws for linear viscoelastic materials are solely performed based on experimental measurements without imposing any functional frequency dependence. This data-driven methodology involves solving an inverse problem for each frequency.

COMPUTERS & STRUCTURES (2024)

Article Computer Science, Interdisciplinary Applications

Uniqueness and numerical scheme for spherical shell-structured sources from the far field patterns with at most two frequencies

Jialei Li, Xiaodong Liu, Qingxiang Shi

Summary: This study shows that the number, centers, scattering strengths, inner and outer diameters of spherical shell-structured sources can be uniquely determined from the far field patterns. A numerical scheme is proposed for reconstructing the spherical shell-structured sources, which includes a migration series method for locating the centers and an iterative method for computing the inner and outer diameters without computing derivatives.

JOURNAL OF COMPUTATIONAL PHYSICS (2024)

Article Computer Science, Interdisciplinary Applications

Multi-objective structural optimization for the automatic member grouping of truss structures using evolutionary algorithms

Jose Pedro G. Carvalho, Denis E. C. Vargas, Breno P. Jacob, Beatriz S. L. P. Lima, Patricia H. Hallak, Afonso C. C. Lemonge

Summary: This paper formulates a multi-objective structural optimization problem and utilizes multiple evolutionary algorithms to solve it. By optimizing the grouping of structural members, the best truss structure can be found. After analyzing various benchmark problems, the study reveals the existence of competitive structural member configurations beyond symmetry-based groupings.

COMPUTERS & STRUCTURES (2024)

Article Computer Science, Interdisciplinary Applications

Extension of moving particle simulation by introducing rotational degrees of freedom for dilute fiber suspensions

Keigo Enomoto, Takato Ishida, Yuya Doi, Takashi Uneyama, Yuichi Masubuchi

Summary: We have developed a novel Moving Particle Simulation (MPS) method to accurately reproduce the motion of fibers in sheared liquids. By introducing the micropolar fluid model, we address the issue of fibers being aligned with the flow direction in conventional MPS simulations. Our method is capable of accurately reproducing the fiber motion predicted by Jeffery's theory.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2024)

Article Computer Science, Interdisciplinary Applications

An asynchronous parallel benders decomposition method for stochastic network design problems

Ragheb Rahmaniani, Teodor Gabriel Crainic, Michel Gendreau, Walter Rei

Summary: Benders decomposition (BD) is a popular solution algorithm for stochastic integer programs. However, existing parallelization methods often suffer from inefficiencies. This paper proposes an asynchronous parallel BD method and demonstrates its effectiveness through numerical studies and performance enhancement strategies.

COMPUTERS & OPERATIONS RESEARCH (2024)

Article Computer Science, Interdisciplinary Applications

Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains

Mostafa Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy, Mehdi Dehghan

Summary: In this paper, a novel numerical solution based on machine learning technique and a generalized moving least squares approximation is developed for solving two-dimensional fractional partial differential equations on irregular domains. The method approximates spatial derivatives on convex and non-convex non-rectangular computational domains and is validated on various specific problems.

MATHEMATICS AND COMPUTERS IN SIMULATION (2024)

Article Computer Science, Interdisciplinary Applications

Stokes problem with the Coulomb stick-slip boundary conditions in 3D: Formulations, approximation, algorithms, and experiments

Jaroslav Haslinger, Radek Kucera, Kristina Motyckova, Vaclav Satek

Summary: This paper focuses on the approximation and numerical realization of the three-dimensional Stokes system with Coulomb's slip boundary conditions. By using the P1+bubble/P1 elements to discretize the weak velocity-pressure formulation, the discrete non-smooth slip term and impermeability condition are effectively addressed. The duality approach and the semi-smooth Newton method are proposed as strategies for solving the resulting saddle-point problem.

MATHEMATICS AND COMPUTERS IN SIMULATION (2024)

Article Computer Science, Interdisciplinary Applications

Finite difference discretization for one-dimensional higher-order integral fractional Laplacian and its application

Huixian Wang, Hongbin Chen, Jun Zhou

Summary: In this study, a simple and easy-to-implement discrete approximation method is proposed for one-dimensional higher-order integral fractional Laplacian (IFL), and it is applied to discretize the fractional biharmonic equation, multi-term fractional differential model, and fractal KdV equation. The convergence of the discrete approximation is proved and extensive numerical experiments are conducted to validate the analytical results. Additionally, new observations are discovered from the numerical results.

MATHEMATICS AND COMPUTERS IN SIMULATION (2024)

Article Computer Science, Interdisciplinary Applications

Advanced numerical scheme and its convergence analysis for a class of two-point singular boundary value problems

Nikhil Sriwastav, Amit K. Barnwal, Higinio Ramos, Ravi P. Agarwal, Mehakpreet Singh

Summary: In this article, a novel approach based on the shooting projection method and the Legendre wavelet operational matrix formulation is proposed for approximating a class of two-point singular boundary value problems (SBVPs) with Dirichlet and Neumann-Robin boundary conditions. The approach involves making an initial guess in contrast to the boundary conditions, solving the initial value problem using the Legendre wavelet operational matrix method, and iteratively improving the initial condition using a shooting projection method until the desired accuracy is achieved.

MATHEMATICS AND COMPUTERS IN SIMULATION (2024)

Article Computer Science, Interdisciplinary Applications

Traveling wave in an eco-epidemiological model with diffusion and convex incidence rate: Dynamics and numerical simulation

Safieh Bagheri, Mohammad Hossein Akrami, Ghasem Barid Loghmani, Mohammad Heydari

Summary: This study aims to investigate an epidemic model with diffusion in the predator-prey interaction. The stability and traveling wave solutions of the model are examined through numerical simulations and linear determinacy.

MATHEMATICS AND COMPUTERS IN SIMULATION (2024)

Article Computer Science, Interdisciplinary Applications

Unmanned surface vehicles (USVs) scheduling method by a bi-level mission planning and path control

Xinghai Guo, Netirith Narthsirinth, Weidan Zhang, Yuzhen Hu

Summary: This study proposes a bi-level scheduling method that utilizes unmanned surface vehicles for container transportation. By formulating mission decision and path control models, efficient container transshipment and path planning are achieved. Experimental results demonstrate the effectiveness of the proposed approach in guiding unmanned surface vehicles to complete container transshipment tasks.

COMPUTERS & OPERATIONS RESEARCH (2024)

Article Computer Science, Interdisciplinary Applications

A novel quantitative assessment of engagement in virtual reality: Task-unrelated thought is reduced compared to 2D videos.

Vishal Kiran Kuvar, Jeremy N. Bailenson, Caitlin Mills

Summary: Recent research suggests that students' minds often wander off-task during learning, regardless of the learning modality. This study explores the potential of virtual reality (VR) to reduce task-unrelated thoughts (TUT) and finds that learning with VR leads to lower TUT and better performance.

COMPUTERS & EDUCATION (2024)

Article Computer Science, Hardware & Architecture

A dynamic state sharding blockchain architecture for scalable and secure crowdsourcing systems

Zihang Zhen, Xiaoding Wang, Hui Lin, Sahil Garg, Prabhat Kumar, M. Shamim Hossain

Summary: In this paper, a blockchain architecture based on dynamic state sharding (DSSBD) is proposed to solve the problems caused by cross-shard transactions and reconfiguration. By utilizing deep reinforcement learning, the number of shards, block spacing, and block size can be dynamically adjusted to improve the performance of the blockchain. The experimental results show that the crowdsourcing system with DSSBD has better performance in terms of throughput, latency, balancing, cross-shard transaction proportion, and node reconfiguration proportion, while ensuring security.

JOURNAL OF NETWORK AND COMPUTER APPLICATIONS (2024)