International Journal of Computational Methods最新文献_第4页

Local Galerkin method based on the moving least squares approximation for solving delay integral equations arisen from an air pollution model 基于移动最小二乘逼近的局部伽辽金方法求解空气污染模型的延迟积分方程

IF 1.7 4区工程技术

International Journal of Computational Methods Pub Date : 2023-06-16 DOI: 10.1142/s0219876223500160

A. Hosseinian, P. Assari, M. Dehghan

引用次数: 1

An Introduction to Programming Physics-Informed Neural Network-Based Computational Solid Mechanics 编程物理导论——基于神经网络的计算固体力学

4区工程技术

International Journal of Computational Methods Pub Date : 2023-06-08 DOI: 10.1142/s0219876223500135

Jinshuai Bai, Hyogu Jeong, C. P. Batuwatta-Gamage, Shusheng Xiao, Qingxia Wang, C. M. Rathnayaka, Laith Alzubaidi, Gui-Rong Liu, Yuantong Gu

{"title":"An Introduction to Programming Physics-Informed Neural Network-Based Computational Solid Mechanics","authors":"Jinshuai Bai, Hyogu Jeong, C. P. Batuwatta-Gamage, Shusheng Xiao, Qingxia Wang, C. M. Rathnayaka, Laith Alzubaidi, Gui-Rong Liu, Yuantong Gu","doi":"10.1142/s0219876223500135","DOIUrl":"https://doi.org/10.1142/s0219876223500135","url":null,"abstract":"Physics-informed neural network (PINN) has recently gained increasing interest in computational mechanics. This work extends the PINN to computational solid mechanics problems. Our focus will be on the investigation of various formulation and programming techniques, when governing equations of solid mechanics are implemented. Two prevailingly used physics-informed loss functions for PINN-based computational solid mechanics are implemented and examined. Numerical examples ranging from 1D to 3D solid problems are presented to show the performance of PINN-based computational solid mechanics. The programs are built via Python with TensorFlow library with step-by-step explanations and can be extended for more challenging applications. This work aims to help the researchers who are interested in the PINN-based solid mechanics solver to have a clear insight into this emerging area. The programs for all the numerical examples presented in this work are available at https://github.com/JinshuaiBai/PINN_Comp_Mech .","PeriodicalId":54968,"journal":{"name":"International Journal of Computational Methods","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135215638","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Solving Nonlinear Elliptic PDEs in 2D and 3D Using Polyharmonic Splines and Low-Degree of Polynomials 用多元调和样条和低阶多项式求解二维和三维非线性椭圆偏微分方程

IF 1.7 4区工程技术

International Journal of Computational Methods Pub Date : 2023-05-26 DOI: 10.1142/s0219876222500517

Kalani Rubasinghe, Guangming Yao, Wen Li, G. Tsogtgerel

{"title":"Solving Nonlinear Elliptic PDEs in 2D and 3D Using Polyharmonic Splines and Low-Degree of Polynomials","authors":"Kalani Rubasinghe, Guangming Yao, Wen Li, G. Tsogtgerel","doi":"10.1142/s0219876222500517","DOIUrl":"https://doi.org/10.1142/s0219876222500517","url":null,"abstract":"In this paper, the improved localized method of approximated particular solutions (ILMAPS) using polyharmonic splines (PHS) together with a low-degree of polynomial basis is used to approximate solutions of various nonlinear elliptic Partial Differential Equations (PDEs). The method is completely meshfree, and it uses a radial basis function (RBF) that has no shape parameters. The discretization process is done through a simple collocation technique on a set of points in the local domain of influence. Resulted system of nonlinear algebraic equations is solved by the Picard method. The performance of the proposed method is tested on various nonlinear elliptical problems, including the Poisson-type problems in 2D and 3D with constant or variable coefficients on rectangular or irregular domains and the Poisson–Boltzmann equation with Dirichlet boundary conditions or mixed boundary conditions. The effect of domain shapes in 2D and 3D, types of boundary conditions, and degrees of PHS, and order of polynomial basis are examined. The performance of the method is compared with other bases such as multiquadrics (MQ) basis functions, and with results reported in the literature (method of particular solutions using polynomials). The numerical experiments suggest that ILMAPS with polyharmonic splines yields considerably superior accuracy than other RBFs as well as other approaches reported in the literature for solving nonlinear elliptic PDEs.","PeriodicalId":54968,"journal":{"name":"International Journal of Computational Methods","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43574454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An Improved Radial Basis Function Neuron Network Based on the l1 regularization 基于l1正则化的改进径向基函数神经元网络

IF 1.7 4区工程技术

International Journal of Computational Methods Pub Date : 2023-05-12 DOI: 10.1142/s0219876223500147

Yunling Kang, Manxi Liu, Guoqiao You, Guidong Liu

引用次数: 0

A tenth-order sixth-derivative block method for directly solving fifth-order initial value problems 直接求解五阶初值问题的一种十阶六阶导数块法

IF 1.7 4区工程技术

International Journal of Computational Methods Pub Date : 2023-05-05 DOI: 10.1142/s0219876223500111

H. Ramos, L. A. Momoh

引用次数: 0

Studies on Interfacial Torsional Behavior of pipe Joints with Hardening and Softening Bond-Slip Law 用粘结滑移规律研究管道接头的界面扭转行为

IF 1.7 4区工程技术

International Journal of Computational Methods Pub Date : 2023-05-05 DOI: 10.1142/s0219876223410086

Hong Yuan, Jun Han, H. Lu, Ziyong Mo, L. Zeng

引用次数: 0

Stable Computational Techniques for the Advection-Dispersion Variable Order Model 平流色散变阶模型的稳定计算技术

IF 1.7 4区工程技术

International Journal of Computational Methods Pub Date : 2023-05-05 DOI: 10.1142/s0219876223500123

Poonam Yadav, Aman Singh, V. Singh

引用次数: 0

IF 1.7 4区工程技术

International Journal of Computational Methods Pub Date : 2023-04-12 DOI: 10.1142/s0219876223410074

Yong Wu, Y. Bai, Zeling Lan, Shouwen Yao

引用次数: 0

An improved cell-based smoothed discrete shear gap method (CS-DSG3) for static and dynamic analyses of Reissner-Mindlin plates Reissner-Mindlin板静态和动态分析的改进单元平滑离散剪切间隙法（CS-DSG3）

IF 1.7 4区工程技术

International Journal of Computational Methods Pub Date : 2023-04-07 DOI: 10.1142/s021987622350010x

引用次数: 0

Averaging Navier-Stokes equations by a dual approach 用对偶方法平均Navier-Stokes方程

IF 1.7 4区工程技术

International Journal of Computational Methods Pub Date : 2023-04-05 DOI: 10.1142/s0219876223410062

T. Nguyen, Dong-Anh Nguyen

引用次数: 1