Yizheng Wang

Yizheng Wang

Yizheng Wang

Hi, my name is Yizheng Wang. I am a first year Ph.D. student in Department of Engineering Mechanics, Tsinghua University (2024-now), supervised by Prof. Yinghua Liu and Prof. Rabczuk. I major in engineering mechanics, mainly doing computational solid mechanics and received my master’s degree supervised by Prof. Yinghua Liu (2019-2022) from the Institute of Solid Mechanics (ISM), Department of Engineering Mechanics, Tsinghua University, and Bachelor’s degree from Civil Aviation University of China in Tianjin. I also worked as a research assistant at Microsoft Research AI4Science (2022-2023). I have came to Bauhaus University as a guest researcher in Weimar supervised by Prof. Rabczuk for AI for mechanics (2023-2024).

I am majoring in solid mechanics and have rich experience in physical theory, computation, and experiment. I mainly focus on solving Partial Differential Equations of solid mechanics based on the physics-informed neural networks(PINNs), operator learning and deep energy method. My research interest is AI4Science, specifically AI for mechanics.

My representative works are: KINN, DCEM, CENN, and review of AI4PDEs.

πŸ”₯ News

CMAME
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Kolmogorov Arnold Informed neural network: A physics-informed deep learning framework for solving PDEs based on Kolmogorov Arnold Networks

Yizheng Wang, Jia Sun, Jinshuai Bai, Cosmin Anitescu, Mohammad Sadegh Eshaghi, Xiaoying Zhuang, Timon Rabczuk, and Yinghua Liu

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  • We propose different PDE forms based on KAN instead of MLP, termed Kolmogorov-Arnold-Informed Neural Network (KINN). We systematically compare MLP and KAN in various numerical examples of PDEs, including multi-scale, singularity, stress concentration, nonlinear hyperelasticity, heterogeneous, and complex geometry problems. Our results demonstrate that KINN significantly outperforms MLP in terms of accuracy and convergence speed for numerous PDEs in computational solid mechanics, except for the complex geometry problem. This highlights KINN’s potential for more efficient and accurate PDE solutions in AI for PDEs.
IJNME
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DCEM： A deep complementary energy method for solid mechanics using minimum complementary energy principle

Yizheng Wang, Jia Sun, Timon Rabczuk, and Yinghua Liu

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  • We propose the deep complementary energy method (DCEM) based on the principle of minimum complementary energy for the first time. DCEM outperforms DEM in terms of stress accuracy and efficiency and has an advantage in dealing with complex displacement boundary conditions. A deep complementary energy operator method (DCEM-O) by combining operator learning with physical equations is proposed.
Advances in Mechanics
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AI for PDEs in solid mechanics: A review

Yizheng Wang, Xiaoying Zhuang, Timon Rabczuk, Yinghua Liu

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  • We review AI for PDEs in solid mechanics.
CMAME
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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, Zaiyuan Lu, Yinghua Liu

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  • A deep energy method with subdomains, suitable to solve non-uniform problems with complex boundaries.
CMAME
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BINN: A deep learning approach for computational mechanics problems based on boundary integral equations

Jia Sun, Yinghua Liu, Yizheng Wang, Zhenhan Yao, and Xiaoping Zheng

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  • Combine boundary element method with PINNs for the first time.
CMAME
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A robust radial point interpolation method empowered with neural network solvers (RPIM-NNS) for nonlinear solid mechanics

Jinshuai Bai, Gui-Rong Liu, Timon Rabczuk, Yizheng Wang, Xi-Qiao Feng, YuanTong Gu

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  • We proposed a robust radial point interpolation method empowered with neural network solvers (RPIM-NNS) for solving highly nonlinear solid mechanics problems.
CMAME
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Energy-based physics-informed neural network for frictionless contact problems under large deformation

Jinshuai Bai, Zhongya Lin, Yizheng Wang, Jiancong Wen, Yinghua Liu, Timon Rabczuk, Yuantong Gu, and Xi-Qiao Feng

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  • we propose an energy-based physics-informed neural network (PINN) framework for solving frictionless contact problems under large deformation
CMAME
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Variational Physics-informed Neural Operator (VINO) for Solving Partial Differential Equations

Mohammad Sadegh Eshaghi, Cosmin Anitescu, Manish Thombre, Yizheng Wang, Xiaoying Zhuang, Timon Rabczuk

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  • We combine PDEs and data using variational principles for solving partial differential equations, and the advantage of the proposed framework is that it can also work without data.
Renewable Energy
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Multi-scale modeling in thermal conductivity of Polyurethane incorporated with Phase Change Materials using Physics-Informed Neural Networks

Bokai Liu, Yizheng Wang, Timon Rabczuk, Thomas Olofsson, Weizhuo Lu

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  • We propose a hierarchical multi-scale model RVE utilizing Physics-Informed Neural Networks (PINNs).
Neurocomputing
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Applications of scientific machine learning for the analysis of functionally graded porous beams

Mohammad Sadegh Eshaghi, Mostafa Bamdad, Cosmin Anitescu, Yizheng Wang, Xiaoying Zhuang, Timon Rabczuk

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  • We propose a deep learning framework using PINNs, DEM, and Operator learning (FNO: Fourier Nueral Operator) for the analysis of functionally graded (FG) porous beams.

πŸ“ Under Review

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

Yizheng Wang, Jinshuai Bai, Mohammad Sadegh Eshaghi, Cosmin Anitescu, Xiaoying Zhuang, Timon Rabczuk, and Yinghua Liu PDF

  • We explore the generalization capability of transfer learning in the strong and energy form of PINNs across different boundary conditions, materials, and geometries. The transfer learning methods we employ include full finetuning, lightweight finetuning, and Low-Rank Adaptation (LoRA).
EAAI
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Artificial intelligence for partial differential equations in computational mechanics: A review

Yizheng Wang, Jinshuai Bai, Zhongya Lin, Qimin Wang, Cosmin Anitescu, Jia Sun, Mohammad Sadegh Eshaghi, Yuantong Gu, Xi-Qiao Feng, Xiaoying Zhuang, Timon Rabczuk, and Yinghua Liu PDF

  • We review AI for PDEs in computational mechanics, including solid mechanics, fluid mechanics, and biomechanics.
IJNME
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HomoGenius: a Foundation Model of Homogenization for Rapid Prediction of Effective Mechanical Properties using Neural Operators

Yizheng Wang, Xiang Li, Ziming Yan, Jinshuai Bai, Bokai Liu, Timon Rabczuk, and Yinghua Liu

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  • We propose a numerical homogenization model based on operator learning: HomoGenius. The proposed model can quickly provide homogenization results for arbitrary geometries, materials, and resolutions, increasing the efficiency by a factor of 1000 compared to traditional numerical homogenization methods.
Applied Energy
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Deep Learning-Based Multi-Scale Modeling of Thermal Conductivity in Polyurethane with Phase Change Materials via Neural Operators

Bokai Liu, Yizheng Wang, Yinghua Liu, Kailun Feng, Timon Rabczuk, and Thomas Olofsson

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  • <>: These authors contributed equally to this work. We propose a hierarchical multi-scale model utilizing Deep learning-based Neural Operators. This model enables precise prediction and analysis of the material’s thermal conductivity at both the fine-scale and coarse-scale, from nano to macro scales.

πŸŽ– Honors and Awards

  • 2024.10 I participate in (DACOMA-24) and win the best paper award again!
  • 2024.05 Future Scholar at Tsinghua University (ζΈ…εŽε€§ε­¦ζœͺζ₯ε­¦θ€…)！
  • 2022.09 I participate in (DACOMA-22) and win the best paper award!
  • 2022.01 My team placed 18th out of 3537 contestants in the 2021 Kaggle Competition Public Committee (I was the first author)!
  • 2020.06 My team won the 12th place in the 2020 Baidu Star Developer Competition (out of 2,312 teams)!
  • 2019.09 - 2022.06 I participated in the John Ma Cup of Tsinghua University in total 6 times, and won 5 times in the top 8 of the school!

    πŸ“– Educations

  • 2024.08 - future, Ph.D in Department of Engineering Mechanics, Tsinghua University, Beijing, China
  • 2019.08 - 2022.06, Master in Department of Engineering Mechanics, Tsinghua University, Beijing, China
  • 2012.08 - 2016.06, Bachelor from College of Air Traffic Management, Civil Aviation University of China, Tianjin, China

    πŸ’¬ Conference

  • 2024.10, DACOMA-24, Beijing, China: Yizheng Wang. β€œAI for PDEs in computational mechanics” Won β€œBest Paper Awards” (Oral presentation)

  • 2024.04, CCSM2024, Nanjing, China: Yizheng Wang, and Yinghua Liu. β€œAI for PDEs in solid mechanics”. (Oral presentation and host in computaiontal solid mechanics)

  • 2023.08, CCCM2023, Dalian, China: Yizheng Wang, and Yinghua Liu. β€œDeep energy method based on the principle of possible work” Oral Presentation at β€œArtificial Intelligence and Its Applications in Computational Mechanics”. (Oral presentation)

  • 2023.07, DACOMA-23, Beijing, China: only participate

  • 2023.05, DDCM2023, Dalian, China: Yizheng Wang, and Yinghua Liu. β€œA deep complementary energy method for solid mechanics using minimum complementary energy principle.” (Oral presentation)

  • 2022.09, DACOMA-22, Beijing, China: Yizheng Wang. β€œSolving Partial Differential Equations of Solid Mechanics Based on PINN.” Won β€œBest Paper Awards” (Master’s Thesis Supervised by Prof. Yinghua Liu) (Oral presentation)

  • 2022.07, WCCM2022, Yokohama, Japan: Yizheng Wang, and Yinghua Liu. β€œA Physics-informed Complementary Energy Form in Solid Mechanics.” Presented at Minisymposium MS1716 β€œData-driven Approaches in Computational Solid Mechanics.” (Oral presentation)

    πŸ’» PROFESSIONAL EXPERIENCE

  • 2023.09 - 2024.08, Guest Researcher supervised by Prof. Rabczuk, Weimar, Germany.
  • 2022.11 - 2023.07, Research Assistant at Microsoft Research AI4Science, Beijing, China.
  • 2020.06 - 2020.08, Research Assistant at Shanxi Intelligence Institute of Big Data Technology and Innovation (SIBD) , Taiyuan, China.
  • 2016.07 - 2018.05, Flight Dispatcher at Zhejiang Loong Airlines Co., Ltd., Xiaoshan, China.

Reviewer:

Journal: Engineering Geology | Underground Space | International Journal of Impact Engineering | Frontiers of Structural and Civil Engineering | Computer, Material and Continua | Engineering Structure | International Journal of Mechanical System Dynamics | Applied Physics A | International Journal of Mechanics and Materials in Design | Machine Learning for Computational Science and Engineering

Conference: 2025 23rd European Control Conference

My CV

My Recommendation from Timon Rabczuk