Mini-symposium (MS)

MS4: Modeling and Numerical Methods for Coupled PDE Systems

Organizers: Xiaoming He, Missouri University of Science and Technology

                     Xiaofeng Yang, University of South Carolina

Abstract: Coupled PDE systems play a key role in many multi-physics problems.  The modeling and the subsequent development of efficient and stable numerical algorithms remain challenging for coupled PDEs due to a number of factors, including the nonlinear coupling of different dynamics, the multiple scales involved, and unconditionally stable high order methods.  This mini-symposium aims to provide a forum for researchers from different fields to discuss recent advances on the modeling and numerical methods for coupled PDE systems.

Saturday, September 18, 10:00 AM – 12:00 PM: Part I of III

Room: Libry 4027

10:00 – 10:30 Michael Neilan, University of Pittsburgh, A divergence-free finite element method for the Stokes problem with boundary correction

10:30 – 11:00 Jue Yan, Iowa State University, Cell-average based neural network method for hyperbolic and parabolic partial differential equations

11:00 – 11:30 Ari Stern, Washington University in St. Louis, Hybridization and postprocessing in finite element exterior calculus

11:30 – 12:00 Zheng Sun, The University of Alabama, Structure-preserving discontinuous Galerkin methods for Hamiltonian PDEs: energy conservation and multi-symplecticity

Saturday, September 18, 3:30 PM – 5:30 PM: Part II of III

Room: Libry 4027

3:30 – 4:00 Weiwei Hu, University of Georgia, Boundary control for fluid mixing: analysis and computation 

4:00 – 4:30 Shawn Walker, Louisiana State University, Optimal control of volume-preserving mean curvature flow

4:30 – 5:00 Evelyn Herberg, George Mason University, Variational discretization for optimal control with BV functions based on the mixed formulation 

5:00 – 5:30 Xuejian Li, Missouri University of Science and Technology, Variational data assimilation for parabolic interface problems

Sunday, September 19, 10:30 AM – 12:30 PM: Part III of III

Room: Libry 4027

10:30 – 11:00 Jiguang Sun, Michigan Technological University, Finite element/holomorphic operator-value function approach for nonlinear eigenvalue problems

11:00 – 11:30 Jiangguo Liu, Colorado State University, Locking-free 2-field finite element solvers for poroelasticity

11:30 – 12:00 Shuhao Cao, Washington University in St. Louis, A simple flux-recovery on quadtree meshes

12:00 – 12:30 Mary Barker, Washington University in St. Louis, A nonconforming hybridized model for the 2D vector Laplacian