4 papers
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…
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…
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…
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…