The 40th Anniversary of Shenzhen University and the 40th Anniversary of Mathematics Department

Liyuan scholar Colloquiumfifty-seven

Lecture Title:Large plate bending with isometry constraints: FEM vs machine learning

Speaker：Prof. Pingbing Ming (Institute of Mathematics and Systems Science, Chinese Academy of Sciences)

Lecture Time: December 9, 2023 (Saturday) 11:00-12:00

Lecture location:Classroom No. 1, 1/F, Hui Xing Building, Yuehai Campus, Shenzhen University, China

Overview：We propose a deep learning based method for simulating the large bending deformation of bilayer plates. Inspired by the greedy algorithm, we propose a pre-training method on a series of nested domains, which accelerates the convergence of training and find the absolute minimizer more effectively. The proposed method exhibits the capability to converge to an absolute minimizer, overcoming the limitation of gradient flow methods getting trapped in local minimizer basins. We showcase better performance for the relative energy errors and relative L2-errors of the minimizer through several numerical experiments. Furthermore, our method successfully maintains the L2-norm of the isometric constraint, leading to improved solution accuracy. This is a joint work with Xiang Li and Yulei Liao.

Speaker Introduction：Pingbing Ming is a researcher at the Institute of Mathematics and System Sciences, Chinese Academy of Sciences, and currently serves as Deputy Director of the State Key Laboratory of Scientific and Engineering Computing. He is mainly engaged in solid multi-scale modeling, simulation and machine learning, and has done outstanding work in the mathematical theory of Cauchy-Born law and the theoretical prediction of ideal strength of graphene; he was awarded the National Outstanding Young Persons' Fund in 2014, and was selected as a member of the fourth batch of young and middle-aged talents of the National Ten Thousand People's Plan in 2019, and was awarded the 15th Feng Kang Scientific Computing Award in 2023. He was awarded the National Distinguished Youth Fund in 2014, selected as one of the fourth batch of young and middle-aged talents under the National "Ten Thousand People Plan" in 2019, and awarded the 15th Feng Kang Scientific Computing Prize in 2023; he has been invited to give presentations at SCADE 2009, The SIAM Mathematics Aspects of Materials Science 2016, and other conferences.

Teachers and students are welcome to participate!

Invited by: School of Mathematical Sciences

School of Mathematical Sciences

December 06, 2023