Robust discretization and solver for convection-dominated PDEs with applications to MHD multi-physics systems
A/Prof. Shuo-Nan Wu
School of Mathematical Sciences, Peking University

In this talk, we present a robust discretization and solver developed for convection-dominated PDEs discretized on unstructured simplicial grids. The convection can be any one of the following operators: gradient, curl and divergence. The derivation of this schemes makes use of some intrinsic properties of differential forms and in particular some crucial identities from differential geometry. Both theoretical analysis and numerical experiments show that the new upwinding finite element schemes provide an accurate and robust discretization and a fast solver in many applications and in particular for simulation of magnetohydrodynamics systems when the magnetic Reynolds number Rm is large.

About the Speaker


2019-09-17 10:30 AM
Room: A203 Meeting Room
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