activity
20192021
most citedAn Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications

2.1k citations · 3.2k across the 6 of their papers we have counts for

collaborators

6 papers

math.NA2021★ 467 cited

A Deep Collocation Method for the Bending Analysis of Kirchhoff Plate

Hongwei Guo, Xiaoying Zhuang, Timon Rabczuk

In this paper, a deep collocation method (DCM) for thin plate bending problems is proposed. This method takes advantage of computational graphs and backpropagation algorithms invol…

cs.LG2020★ 428 cited

Deep Autoencoder based Energy Method for the Bending, Vibration, and Buckling Analysis of Kirchhoff Plates

Xiaoying Zhuang, Hongwei Guo, Naif Alajlan +1

In this paper, we present a deep autoencoder based energy method (DAEM) for the bending, vibration and buckling analysis of Kirchhoff plates. The DAEM exploits the higher order con…

math.NA2020★ 3 cited

Integrated intelligent Jaya Runge-Kutta method for solving Falkner-Skan equations for Various Wedge Angles

Hongwei Guo, Xiaoying Zhuang, Xiaoyu Meng +1

In this work, the hybrid intelligent computing method, which combines efficient Jaya algorithm with classical Runge-Kutta method is applied to solve the Falkner-Skan equations with…

cs.LG2020★ 102 cited

Stochastic analysis of heterogeneous porous material with modified neural architecture search (NAS) based physics-informed neural networks using transfer learning

Hongwei Guo, Xiaoying Zhuang, Timon Rabczuk

In this work, a modified neural architecture search method (NAS) based physics-informed deep learning model is presented for stochastic analysis in heterogeneous porous material. M…

cs.LG2020★ 77 cited

Analysis of three dimensional potential problems in non-homogeneous media with physics-informed deep collocation method using material transfer learning and sensitivity analysis

Hongwei Guo, Xiaoying Zhuang, Pengwan Chen +2

In this work, we present a deep collocation method for three dimensional potential problems in nonhomogeneous media. This approach utilizes a physics informed neural network with m…

stat.ML2019★ 2.1k cited

An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications

Esteban Samaniego, Cosmin Anitescu, Somdatta Goswami +5

Partial Differential Equations (PDE) are fundamental to model different phenomena in science and engineering mathematically. Solving them is a crucial step towards a precise knowle…