An unsupervised latent/output physics-informed convolutional-LSTM network for solving partial differential equations using peridynamic differential operator-Reference-Cited by-同舟云学术

An unsupervised latent/output physics-informed convolutional-LSTM network for solving partial differential equations using peridynamic differential operator

Published:2023-03 Issue: Volume:407 Page:115944
ISSN:0045-7825
Container-title:Computer Methods in Applied Mechanics and Engineering
language:en
Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Mavi Arda^ORCID,Bekar Ali Can,Haghighat Ehsan^ORCID,Madenci Erdogan

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference70 articles.

1. On the partial difference equations of mathematical physics;Courant;IBM J. Res. Dev.,1967

2. Finite Volume Methods for Hyperbolic Problems, (Vol. 31);LeVeque,2002

3. The Finite Element Method: Solid Mechanics, (Vol. 2);Zienkiewicz,2000

4. Spectral Methods for Time-Dependent Problems (Vol. 21);Hesthaven,2007

5. There exists a neural network that does not make avoidable mistakes;Gallant,1988

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Implicitly physics-informed multi-fidelity physical field data fusion method based on Taylor modal decomposition;Advanced Engineering Informatics;2024-10

2. f-PICNN: A physics-informed convolutional neural network for partial differential equations with space-time domain;Journal of Computational Physics;2024-10

3. Dual-horizon peridynamics modeling of coupled chemo-mechanical-damage for interface oxidation-induced cracking in thermal barrier coatings;Computer Methods in Applied Mechanics and Engineering;2024-10

4. Rethinking materials simulations: Blending direct numerical simulations with neural operators;npj Computational Materials;2024-07-04

5. Physics informed neural networks for an inverse problem in peridynamic models;Engineering with Computers;2024-03-21