2.1k citations · 9.4k across the 78 of their papers we have counts for
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Deep Energy Method with Large Language Model assistance: an open-source Streamlit-based platform for solving variational PDEs
Yizheng Wang, Cosmin Anitescu, Mohammad Sadegh Eshaghi +3
Physics-informed neural networks (PINNs) in energy form, also known as the deep energy method (DEM), offer advantages over strong-form PINNs such as lower-order derivatives and few…
Pretrain Finite Element Method: A Pretraining and Warm-start Framework for PDEs via Physics-Informed Neural Operators
Yizheng Wang, Zhongkai Hao, Mohammad Sadegh Eshaghi +4
We propose a Pretrained Finite Element Method (PFEM),a physics driven framework that bridges the efficiency of neural operator learning with the accuracy and robustness of classica…
A coupled finite element-virtual element method for thermomechanical analysis of electronic packaging structures
Yanpeng Gong, Sishuai Li, Yue Mei +4
This study presents a finite element and virtual element (FE-VE) coupled method for thermomechanical analysis in electronic packaging structures. The approach partitions computatio…
Physics-Informed Kolmogorov-Arnold Networks for multi-material elasticity problems in electronic packaging
Yanpeng Gong, Yida He, Yue Mei +3
This paper proposes a Physics-Informed Kolmogorov-Arnold Network for analyzing elasticity problems in multi-material electronic packaging structures. The method replaces traditiona…
Phase-field modeling of fluid-driven dynamic cracking in porous media
Shuwei Zhou, Xiaoying Zhuang, Timon Rabczuk
A phase field model for fluid-driven dynamic crack propagation in poroelastic media is proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium whi…
Elasto-plastic large deformation analysis of multi-patch thin shells by isogeometric approach
Giang Huynh, Xiaoying Zhuang, Hoang-Giang Bui +2
This paper studies elasto-plastic large deformation behavior of thin shell structures using the isogeometric computational approach with the main focus on the efficiency in modelli…
Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase field fracture by nonlocal operator method
Huilong Ren, Xiaoying Zhuang, Erkan Oterkus +2
The derivation of nonlocal strong forms for many physical problems remains cumbersome in traditional methods. In this paper, we apply the variational principle/weighted residual me…
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…
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…
Higher order nonlocal operator method
Huilong Ren, Xiaoying Zhuang, Timon Rabczuk
We extend the nonlocal operator method to higher order scheme by using a higher order Taylor series expansion of the unknown field. Such a higher order scheme improves the original…
An extended polygonal finite element method for large deformation fracture analysis
Hai D. Huynh, Phuong Tran, Xiaoying Zhuang +1
The modeling of large deformation fracture mechanics has been a challenging problem regarding the accuracy of numerical methods and their ability to deal with considerable changes…