activity
20122024
most citedAn Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications

2.1k citations · 15.7k across the 131 of their papers we have counts for

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Showing cs.LGShow all

6 papers · 1 filter

cs.LG2023★ 47 cited

DCEM: A deep complementary energy method for solid mechanics

Yizheng Wang, Jia Sun, Timon Rabczuk +1

In recent years, the rapid advancement of deep learning has significantly impacted various fields, particularly in solving partial differential equations (PDEs) in the realm of sol…

cs.LG2021★ 3 cited

Multigoal-oriented dual-weighted-residual error estimation using deep neural networks

Ayan Chakraborty, Thomas Wick, Xiaoying Zhuang +1

Deep learning has shown successful application in visual recognition and certain artificial intelligence tasks. Deep learning is also considered as a powerful tool with high flexib…

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…

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…

cs.LG2020

High correlated variables creator machine: Prediction of the compressive strength of concrete

Aydin Shishegaran, Hessam Varaee, Timon Rabczuk +1

In this paper, we introduce a novel hybrid model for predicting the compressive strength of concrete using ultrasonic pulse velocity (UPV) and rebound number (RN). First, 516 data…