Spectral Integrated Neural Networks with Large Time Steps for 2d and 3d Transient Elastodynamic Analysis DOI

Haodong Ma,

Wenzhen Qu, Yan Gu

et al.

Published: Jan. 1, 2024

Language: Английский

Physics-informed radial basis function network based on Hausdorff fractal distance for solving Hausdorff derivative elliptic problems DOI
Lin Qiu,

Fajie Wang,

Yingjie Liang

et al.

Computers & Mathematics with Applications, Journal Year: 2025, Volume and Issue: 183, P. 271 - 286

Published: Feb. 26, 2025

Language: Английский

Citations

2
Adaptive physics-informed neural networks for dynamic coupled thermo-mechanical problems in large-size-ratio functionally graded materials DOI
Lin Qiu, Yanjie Wang, Yan Gu

et al.

Applied Mathematical Modelling, Journal Year: 2024, Volume and Issue: unknown, P. 115906 - 115906

Published: Dec. 1, 2024

Language: Английский

Citations

9
A Hybrid Collocation Method for Long‐Time Simulation of Heat Conduction in Anisotropic Functionally Graded Materials DOI Open Access
Lin Qiu, Fajie Wang, Wenzhen Qu

et al.

International Journal for Numerical Methods in Engineering, Journal Year: 2025, Volume and Issue: 126(3)

Published: Feb. 7, 2025

ABSTRACT This study proposes a hybrid collocation approach for simulating heat conduction problems in anisotropic functionally graded materials over extended time intervals. In this approach, the Krylov deferred correction (KDC) scheme is employed temporal discretization of dynamic problems, featuring novel numerical implementation designed to ensure precise satisfaction boundary conditions. The localized radial basis function (LRBF) method modified and utilized solve resulting value problems. A new developed combined with an optimization strategy distribution source points enhance performance LRBF scheme. synergizes KDC technique, which supports large step sizes, method, characterized by its truly meshless nature, address long durations. Additionally, coefficient matrix produced sparse depends solely on spatial distances between points, advantageous long‐term simulations. Numerical simulations spanning thousands steps demonstrate accuracy, stability, convergence approach. framework shows significant improvements existing methods, particularly handling substantial temperature variations.

Language: Английский

Citations

2
Least-squares stabilized collocation method for the parameter identification in transient inverse heat conduction problems DOI

Zhihao Qian,

Lihua Wang, Magd Abdel Wahab

et al.

Applied Mathematical Modelling, Journal Year: 2025, Volume and Issue: unknown, P. 116093 - 116093

Published: March 1, 2025

Language: Английский

Citations

0
Efficient BEM for thin-walled inhomogeneous potential problems: Theory and MATLAB code DOI
Xiao‐Wei Gao, Yan Gu, Bo Yu

et al.

Engineering Analysis with Boundary Elements, Journal Year: 2025, Volume and Issue: 176, P. 106241 - 106241

Published: April 2, 2025

Language: Английский

Citations

0
Spectral integrated neural networks with large time steps for 2D and 3D transient elastodynamic analysis DOI

Haodong Ma,

Wenzhen Qu, Yan Gu

et al.

Neural Networks, Journal Year: 2025, Volume and Issue: 188, P. 107559 - 107559

Published: April 27, 2025

Language: Английский

Citations

0
A spatio-temporal radial basis function collocation method based on Hausdorff fractal distance for Hausdorff derivative heat conduction equations in three-dimensional anisotropic materials DOI
Jiayu Wang, Lin Qiu, Yingjie Liang

et al.

Applied Mathematics and Computation, Journal Year: 2025, Volume and Issue: 502, P. 129501 - 129501

Published: May 2, 2025

Language: Английский

Citations

0
Enriched Physics-informed Neural Networks for Dynamic Poisson-Nernst-Planck Systems DOI

Xujia Huang,

Fajie Wang, Benrong Zhang

et al.

Mathematics and Computers in Simulation, Journal Year: 2025, Volume and Issue: unknown

Published: May 1, 2025

Language: Английский

Citations

0
Localized Fourier collocation method for 2D transient heat conduction problems DOI

Xiaokun Li,

Shengdong Zhao,

Wenzheng Qu

et al.

Applied Mathematics Letters, Journal Year: 2024, Volume and Issue: unknown, P. 109331 - 109331

Published: Oct. 1, 2024

Language: Английский

Citations

2
A meshless Runge-Kutta-based Physics-Informed Neural Network framework for structural vibration analysis DOI

Shusheng Xiao,

Jinshuai Bai, Hyogu Jeong

et al.

Engineering Analysis with Boundary Elements, Journal Year: 2024, Volume and Issue: 170, P. 106054 - 106054

Published: Nov. 30, 2024

Language: Английский

Citations

2