Finite Element and Deep Learning

    Jinchao Xu, Penn State

Time: 8:00am-10:00am, July 6-10, 2020 (China Standard Time)

  1. Combined typed lecture notes (last update on July 10)

  2. In-class presentations and videos

       Lecture 1 (July 6 ): Brief introduction to Deep Learning, Multigrid methods I ,Notes, Video, Password: l938

       Lecture 2 (July 7 ):Multigrid methods II, DNN and finite element, Notes, Video, Password: x81t

       Lecture 3 (July 8 ):DNN and finite element, Notes, Video, Password: gt13

       Lecture 4 (July 9 ):DNN properties and application to numerical PDEs, Notes, Video, Password: ryd4

       Lecture 5 (July 10):CNN and MgNet, Notes, Video, Password: vsjs

  3. Exercises

       Exercise 1 (July 6): Use multigrid to solve the discrete Laplacian 

       Exercise 2 (July 7): Derive the details of multigrid method for 2D problem

  4. MgNet Competition