PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Becky Halpenny.

Title:Fast Solvers for Incompressible Magnetohydrodynamics Systems
Seminar:Ph.D. Thesis Defense
Speaker:Yicong Ma, Adviser: Jinchao Xu, Penn State
Abstract:
Maxwell's equations are a set of partial differential equations (PDE) that, together with Lorentz force, form the foundation of classical electrodynamics, classical optics and electric circuits. First, we study their coupling with the incompressible Navier-Stokes equations, namely the incompressible magnetohydrodynamics system. We propose a structure-preserving finite element discretization and then design a class of robust preconditioners for the linear system by combining techniques from both functional analysis and linear algebra. Secondly, we study a practical problem related to Maxwell's equations that model the optical process in solar cells. We study the mathematical model and fast solvers for the linear system resulting from the finite element discretization. Extensive numerical experiments are carried out for the proposed algorithms for both types of PDE systems.

Room Reservation Information

Room Number:MB114
Date:07 / 05 / 2016
Time:10:01am - 12:01pm