Special Session 58: Recent Advances in Numerical Methods for Partial Differential Equations
Organizer(s): Jun Hu , Weiying Zheng , Ran Zhang

Parallel Session 15 :: Thursday, 12/19, 15:15-17:15                Capital Suite 21 C
15:15-15:45	Jun Hu (Peking University, Peoples Rep of China)  A Construction of $C^r$ Conforming Finite Element Spaces in Any Dimension

15:45-16:15

Ran Zhang (Jilin University, Peoples Rep of China)  Weak Galerkin Finite Element Scheme and Its Applications

16:15-16:45

Limin Ma (Wuhan University, Peoples Rep of China)  High accuracy algorithm and analysis for nonconforming element of Stokes equation

16:45-17:15

Qingyu Wu (Peking University, Peoples Rep of China)  The condition for constructing a finite element from a superspline

Parallel Session 16 :: Thursday, 12/19, 17:30-19:30                 Capital Suite 21 C
17:30-18:00	Yanping Chen (Nanjing University of Posts and Telecommunications, CHINA, Peoples Rep of China)  Highly efficient and energy stable multi-step SAV approaches for phase field models

18:00-18:30

Xue Jiang (Beijing University of Technology, Peoples Rep of China)  A perfectly matched layer method for scattering problem in cylindrical coordinates

18:30-19:00

Yifei Li (Tuebingen University, Peoples Rep of China)  An Energy-stable Numerical Approximation for the Willmore Flow

19:00-19:30

Xiaodi Zhang (Zhengzhou University, Peoples Rep of China)  New error analysis of a class of fully discrete finite element methods for the dynamical inductionless MHD equations

Parallel Session 17 :: Friday, 12/20, 8:00-9:30                  Capital Suite 21 C
8:00-8:30	Daniele Boffi (King Abdullah University of Science and Technology, Saudi Arabia)  Small cut cells in a fictitious domain approach for fluid structure interactions

8:30-9:00

Wenbo Li (The Academy of Mathematics and Systems Science of the Chinese Academy of Sciences, Peoples Rep of China)  DG method for fractional Laplace equations

9:00-9:30

Bowen Li (City University of Hong Kong, Hong Kong)  Efficient quantum Gibbs samplers

Parallel Session 18 :: Friday, 12/20, 14:00-16:00                  Capital Suite 21 C
14:00-14:30	Weying Zheng (Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Peoples Rep of China)  A new p-multigrid method for elliptic problems

14:30-15:00

Jiwei Jia (Jilin University, Peoples Rep of China)  Green Multigrid Network

15:00-15:30

Pengzhan Jin (Peking University, Peoples Rep of China)  A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples