Article
Engineering, Marine
Baiwei Feng, Chengsheng Zhan, Zuyuan Liu, Xide Cheng, Haichao Chang
Summary: The Wendland psi 3,1 (W) function was selected for hull surface modification based on radial basis functions (RBF) interpolation. A case study validated the advantages of this method, resulting in optimized hull form with reduced wave-making resistance and total resistance. The findings support the feasibility and value of RBF interpolation-based surface modification in engineering practice.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2021)
Article
Mathematics, Applied
Yihong Zhou, Xiao Zhang, Feng Ding
Summary: This paper investigates the parameter optimization problem of a class of radial basis function-based multivariate hybrid models and proposes a partially-coupled nonlinear parameter optimization algorithm. The algorithm shows low computational complexity and high parameter estimation accuracy through computational efficiency analysis and numerical simulation verification.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Computer Science, Information Systems
Amir Parnianifard, Muhammad Saadi, Manus Pengnoo, Muhammad Ali Imran, Sattam Al Otaibi, Pruk Sasithong, Pisit Vanichchanunt, Tuchsanai Polysuwan, Lunchakorn Wuttisittikulkij
Summary: This paper introduces a new simulation-based optimization approach to solve the multi-transmitter placement planning (MTPP) problem. A flexible mathematical programming model is developed for different numbers of transmitters, and a hybrid approach using radial basis function (RBF) metamodel and particle swarm optimizer (PSO) is proposed to mitigate computational burden. The effectiveness of the algorithm is evaluated through simulations with varying numbers of transmitters, showing that optimal signal coverage can be achieved with four transmitters.
CMC-COMPUTERS MATERIALS & CONTINUA
(2021)
Article
Mathematics
Jonggeon Lee, Euiyoung Kim, Jaehun Lee
Summary: This study presents a two-step non-intrusive reduced-order modeling method based on data reconstruction, utilizing discrete Fourier transformation and proper orthogonal decomposition-radial basis function interpolation to efficiently approximate systems. The accuracy and efficiency of the proposed method are verified through experiments, showing remarkable efficiencies in computing approximated solutions.
Article
Computer Science, Interdisciplinary Applications
Cheng-Yu Ku, Jing-En Xiao, Chih-Yu Liu, Der-Guey Lin
Summary: This paper introduces a meshless method using radial polynomials and the multiple source collocation scheme for solving elliptic boundary value problems. Compared with traditional radial basis function methods, the proposed method achieves better accuracy with the same number of collocation points, and highly accurate solutions can be obtained by increasing the number of radial polynomial terms.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Engineering, Multidisciplinary
Zachary Cosenza, David E. Block
Summary: The study introduced a hybrid surrogate framework combining radial basis function/genetic algorithm, which showed at least as good performance as its constituent algorithms in high-dimensional test functions, making it practical for various optimization design problems. Experiments demonstrated that the framework could be further enhanced for processes with simulated noise.
ENGINEERING OPTIMIZATION
(2021)
Review
Engineering, Environmental
LaiFu Song, Xiang Yu, Bin Xu, Rui Pang, ZeYu Zhang
Summary: This paper addresses the issues in 3D slope reliability analysis and proposes an intelligent response surface method. By combining the advantages of the finite element method and the limit equilibrium method, the reliability analysis has been effectively extended from 2D to 3D slope systems.
BULLETIN OF ENGINEERING GEOLOGY AND THE ENVIRONMENT
(2021)
Article
Multidisciplinary Sciences
Jingwei Liu, Peixuan Li, Xuehan Tang, Jiaxin Li, Jiaming Chen
Summary: By introducing Wavelet Neural Network (WNN) and Wavelet-based Convolutional Neural Network (WCNN), the problems of BPNN and RBFNN can be solved and the performance of neural networks can be improved. The proposed Convolutional Wavelet Neural Network (CWNN) based on WNN effectively reduces the mean square error and error rate of CNN, achieving better maximum precision than CNN.
SCIENTIFIC REPORTS
(2021)
Article
Engineering, Multidisciplinary
Cheng-Yu Ku, Chih-Yu Liu, Jing-En Xiao, Shih-Meng Hsu, Weichung Yeih
Summary: The method uses space-time radial polynomial series functions for spatial and temporal discretization of the government equation, enabling numerical solutions of IHCPs without using a time-marching scheme by solving the inverse boundary value problem in the space-time domain.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Engineering, Multidisciplinary
Ihsane Salleh, Yassin Belkourchia, Lahcen Azrar
Summary: This article elaborates on a methodological approach that combines a meshfree method with multiquadric radial basis function and a hybrid optimization method to solve nonlinear stochastic differential equations with a Poisson white noise. By optimizing the shape parameter of the radial basis function, the accuracy of the solution is improved, and the calculations are performed using an implicit time scheme and a regularized initial condition.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Physics, Multidisciplinary
Nazakat Adil, Xufeng Xiao, Xinlong Feng
Summary: This paper presents a fully Lagrangian method based on the radial basis function finite difference method for solving convection-diffusion partial differential equations on evolving surfaces. The method has the advantage of simplicity in calculating differentiation weights and provides more accurate numerical solutions.
Article
Computer Science, Artificial Intelligence
Yong Zhao, Siyu Ye, Xianqi Chen, Yufeng Xia, Xiaohu Zheng
Summary: The study introduces a PRS-MOEM modeling approach for rational basis function selection, which partitions the training set into multiple subsets and constructs sub-models independently through multitask optimization and ensemble modeling. This approach aims to enhance the accuracy and robustness of basis function selection.
COMPLEX & INTELLIGENT SYSTEMS
(2022)
Article
Computer Science, Interdisciplinary Applications
Shangjun Shi, Pingzhang Zhou, Zhenhua Lu
Summary: This article presents a novel topological design approach inspired by the density method and parametric level set method to control structural complexity and improve computational efficiency. By combining radial basis function and the SIMP formula, the distribution of fictitious density field in the design domain is described to control structural complexity. The proposed method can naturally avoid checkerboard design and reduce the number of design variables by redefining support points.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Mathematics
Asghar Rahimi, C. A. Elyas Shivanian, Saeid Abbasbandy
Summary: Local radial basis functions (RBFs) have advantages in solving differential equations, especially with the shape parameter affecting the accuracy of the approximations. This article derives IQ-based RBF-generated finite difference coefficients and evaluates their efficiency and accuracy through testing. The IQ-based RBF-FD method is applied to solve boundary value problems (BVPs) and find the optimal RBF parameter. Analytical derivations and numerical examples show the higher accuracy of IQ-based RBF-FD weights compared to previous methods.
JOURNAL OF MATHEMATICS
(2022)
Article
Chemistry, Multidisciplinary
Jing-En Xiao, Cheng-Yu Ku, Chih-Yu Liu
Summary: This article presents a radial basis function method using polyharmonic polynomials to solve the inverse problems of the stationary convection-diffusion equation. The method is used to investigate groundwater pollution problems with multiple connected domains containing a finite number of cavities. By using given data on the noisy part of the boundary, the missing boundary observations or cavity observations can be recovered. The method achieves highly accurate solutions and is meshless and collocation only, making it efficient for solving inverse problems with cavities.
APPLIED SCIENCES-BASEL
(2022)
Article
Engineering, Multidisciplinary
K. Cao, D. Lesnic, M. J. Colaco
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
(2019)
Biographical-Item
Engineering, Multidisciplinary
Brian H. Dennis, Helcio R. B. Orlande, Marcelo J. Colaco, Thomas J. Martin
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
(2020)
Article
Thermodynamics
Cesar C. Pacheco, Helcio R. B. Orlande, Marcelo J. Colaco, George S. Dulikravich, Leonardo A. B. Varon, Bernard Lamien
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS
(2020)
Article
Instruments & Instrumentation
F. Bozzoli, L. Cattani, A. Mocerino, S. Rainieri, I Tougri, M. J. Colaco
Summary: This study applies an inverse analysis technique to estimate the local convective heat flux of displaced enhancement devices in forced convection flow in pipes. The results show that the inserts cause irregular distribution of wall heat flux due to distortion in velocity profiles. Previous research focused on overall heat transfer performance, while this study fills the gap by investigating the local convective heat flux in pipes with such inserts.
QUANTITATIVE INFRARED THERMOGRAPHY JOURNAL
(2021)
Article
Engineering, Multidisciplinary
Guilherme C. de Freitas, Marcelo J. Colaco
Summary: This paper proposes a method for estimating the thermal contact conductance distribution on the interface of a body composed of two materials, using the reciprocity functional method associated to the Classic Integral Transform Technique. The method is not limited to regular interfaces, and has shown promising results in practical tests.
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
(2021)
Article
Thermodynamics
Joao Coringa, Marcelo Colaco, Albino J. K. Leiroz, Eduardo Oliveira
APPLIED THERMAL ENGINEERING
(2020)
Article
Engineering, Biomedical
Abhignyan Nagesetti, George S. Dulikravich, Helcio R. B. Orlande, Marcelo J. Colaco, Anthony J. McGoron
Summary: This study evaluates the use of nanoparticles in improving drug delivery to tumors using three-dimensional tumor spheroids as models, and finds that hyperthermia can enhance the penetration of nanoparticles in tumors, potentially improving cancer treatment.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING
(2021)
Biographical-Item
Engineering, Multidisciplinary
Marcelo J. Colaco
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
(2021)
Article
Thermodynamics
Marcelo J. Colaco, Carlos E. R. Dalla, Wellington B. Silva, Julio C. S. Dutra
Summary: In this paper, a Eulerian-Lagrangean analytical method for solving advective-diffusive problems is presented. The method transforms the advective part of the equation into a total derivative and converts the spatial part of the equation into an eigenvalue expansion using the Integral Transform Technique. The results show good agreement with other analytical and numerical techniques, making this method a reliable approach for solving such problems.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2022)
Article
Thermodynamics
C. C. Pacheco, C. R. Lacerda, M. J. Colaco
Summary: This paper presents a fast, robust and automatic approach for selecting the regularization parameter in Tikhonov regularization. The methodology is based on the Generalized Cross-Validation (GCV) method and is validated through numerical experiments.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2022)
Article
Thermodynamics
Marcelo Colaco, Fabio Bozzoli, Luca Cattani, Luca Pagliarini
Summary: The paper applies the conjugate gradient method and adjoint operator to the pulsating heat pipe problem, providing interesting experimental results. The CG method with AO is proven to estimate unknown functions more efficiently than other techniques. The main purpose of the paper is to present a robust, efficient, and self-regularized inverse tool for estimating local heat transfer coefficients in pulsating heat pipes, supported by experimental results. The authors also provide all numerical and experimental data used in the paper as supplemental material to enhance its visibility and general use.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
(2023)
Article
Mathematics, Applied
Raphael Costa Carvalho, Iasmin Louzada Herzog, Helcio Rangel Barreto Orlande, Marcelo Jose Colaco, Italo Marcio Madeira, Nirupam Chakraborti
Summary: This study focuses on parameter estimation of water hammer model for fast transients in pumps and valves. A hyperbolic water hammer model is solved with a weighted average flux finite volume scheme. Pressure and flow rate measurements near the inlet and outlet of the pipeline are used with Markov Chain Monte Carlo methods for parameter estimation. The study aims to reduce the computational time of the inverse problem solution with parallel computation and machine learning metamodel approaches.
COMPUTATIONAL & APPLIED MATHEMATICS
(2023)
Article
Mathematics, Applied
Inoussa Tougri, Marcelo J. Colaco, Fabio Bozzoli
Summary: The reciprocity function method is introduced as a powerful tool for transient inverse estimation of steady internal heat transfer coefficients in ducts using only external boundary data. This paper extends previous results by allowing transient measurements to be used for recovering steady heat transfer coefficients without reaching steady-state regime. The method requires only data from the external surface to estimate the unknown function on the internal surface. Results show that the method is efficient and accurate in recovering the internal heat transfer coefficients.
COMPUTATIONAL & APPLIED MATHEMATICS
(2023)
Article
Thermodynamics
Gustavo R. R. Gasperazzo, Marcelo J. J. Colaco
Summary: In this work, a solution is proposed to recover transient source terms in advection-diffusion problems. The solution technique combines the implicit finite difference method with the method of fundamental solutions, and uses Truncated Singular Value Decomposition to overcome ill-conditioning. The inverse problem of advection-diffusion is solved using Eulerian-Lagrangian method. Numerical examples demonstrate that the proposed method provides stable and accurate estimates for the source term.
HEAT TRANSFER ENGINEERING
(2023)
Article
Thermodynamics
Tomas S. Quirino, Gabriel L. Verissimo, Marcelo J. Colaco
Summary: In this study, numerical simulations were conducted to investigate the performance of a helical-channel MHD generator coupled with an outer resistance circuit. The effects of different helical geometries on power output and efficiency were evaluated using the simulation results.
COMPUTATIONAL THERMAL SCIENCES
(2022)
