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20212026
most citedKolmogorov Arnold Informed neural network: A physics-informed deep learning framework for solving forward and inverse problems based on Kolmogorov Arnold Networks

197 citations · 402 across the 13 of their papers we have counts for

collaborators

15 papers

physics.comp-ph2026

Plasolver: Physics-Informed Neural Operators for Elastoplasticity

Yizheng Wang, Mohammad Sadegh Eshaghi, Huadong Zhang +3

Elastoplastic analysis is computationally demanding because its nonlinear, path-dependent constitutive behavior requires incremental loading and repeated iterative solutions. To ad…

cs.LG2026

Replay-Based Continual Learning for Physics-Informed Neural Operators

Yizheng Wang, Mohammad Sadegh Eshaghi, Xiaoying Zhuang +2

Neural operators generally demonstrate strong predictive performance on in-distribution (ID) problems. However, a critical limitation of existing methods is their significant perfo…

math.NA2026

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…

math.NA2026

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…

cs.RO2025

Physics-informed Machine Learning for Static Friction Modeling in Robotic Manipulators Based on Kolmogorov-Arnold Networks

Yizheng Wang, Timon Rabczuk, Yinghua Liu

Friction modeling plays a crucial role in achieving high-precision motion control in robotic operating systems. Traditional static friction models (such as the Stribeck model) are…

physics.comp-ph2025

Towards Unified AI-Driven Fracture Mechanics: The Extended Deep Energy Method (XDEM)

Yizheng Wang, Yuzhou Lin, Somdatta Goswami +8

Physics-Informed Neural Networks (PINNs) have recently emerged as powerful tools for solving partial differential equations (PDEs), with the Deep Energy Method (DEM) proving especi…

cs.LG2025

Transfer Learning in Physics-Informed Neural Networks: Full Fine-Tuning, Lightweight Fine-Tuning, and Low-Rank Adaptation

Yizheng Wang, Jinshuai Bai, Mohammad Sadegh Eshaghi +4

AI for PDEs has garnered significant attention, particularly Physics-Informed Neural Networks (PINNs). However, PINNs are typically limited to solving specific problems, and any ch…

cs.CE2024

Energy-based physics-informed neural network for frictionless contact problems under large deformation

Jinshuai Bai, Zhongya Lin, Yizheng Wang +5

Numerical methods for contact mechanics are of great importance in engineering applications, enabling the prediction and analysis of complex surface interactions under various cond…

eess.SY2024

Artificial intelligence for partial differential equations in computational mechanics: A review

Yizheng Wang, Jinshuai Bai, Zhongya Lin +9

In recent years, Artificial intelligence (AI) has become ubiquitous, empowering various fields, especially integrating artificial intelligence and traditional science (AI for Scien…

cs.LG2024★ 197 cited

Kolmogorov Arnold Informed neural network: A physics-informed deep learning framework for solving forward and inverse problems based on Kolmogorov Arnold Networks

Yizheng Wang, Jia Sun, Jinshuai Bai +5

AI for partial differential equations (PDEs) has garnered significant attention, particularly with the emergence of Physics-informed neural networks (PINNs). The recent advent of K…

cs.CE2024

A Pretraining-Finetuning Computational Framework for Material Homogenization

Yizheng Wang, Xiang Li, Ziming Yan +5

Homogenization is a fundamental tool for studying multiscale physical phenomena. Traditional numerical homogenization methods, heavily reliant on finite element analysis, demand si…

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.LG2023★ 64 cited

BINN: A deep learning approach for computational mechanics problems based on boundary integral equations

Jia Sun, Yinghua Liu, Yizheng Wang +2

We proposed the boundary-integral type neural networks (BINN) for the boundary value problems in computational mechanics. The boundary integral equations are employed to transfer a…

cs.CV2022★ 1 cited

PETS-SWINF: A regression method that considers images with metadata based Neural Network for pawpularity prediction on 2021 Kaggle Competition "PetFinder.my"

Yizheng Wang, Yinghua Liu

Millions of stray animals suffer on the streets or are euthanized in shelters every day around the world. In order to better adopt stray animals, scoring the pawpularity (cuteness)…

math.NA2021★ 93 cited

CENN: Conservative energy method based on neural networks with subdomains for solving variational problems involving heterogeneous and complex geometries

Yizheng Wang, Jia Sun, Wei Li +2

We propose a conservative energy method based on neural networks with subdomains for solving variational problems (CENN), where the admissible function satisfying the essential bou…