CAM Seminar——Computing incompressible MHD on unstructured meshes: conservation, solver, and interface problems
报告人:Prof. Weiying Zheng(Academy of Mathematics and Systems Science, Chinese Academy of Sciences)
时间:2018-11-21 10:30-11:30
地点:Room 1303, Sciences Building No. 1
Abstract: This talk is focused on several important issues arising in numerical solutions of incompressible
magnetohydrodynamic (MHD) equations.
1. Conservations: how to conserve the mass, the magnetic induction, and the electric charges in
designing mixed finite element methods?
2. Preconditioners: robust preconditioners for solving the fully-coupled discrete problem.
3. Interface problem: extended finite element method (XFEM) for 3D interface problem or free
surface problem on unstructured meshes.
I will briefly talk about some MHD models, numerical methods, and block preconditioners both in Hilbert
space setting and in finite element setting. Numerical experiments will be presented to verify the theories.