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  Weying Zheng (Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Peoples Rep of China)
 A new p-multigrid method for elliptic problems
 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  Jiwei Jia (Jilin University, Peoples Rep of China)
 Green Multigrid Network
 14:30-15:00  Pengzhan Jin (Peking University, Peoples Rep of China)
 A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples