报告题目：Helicity Conservative Finite Element Schemes for Magnetic Hydrodynamic Equations (MHD)

报 告 人：Young Ju Lee, Associate Professor, Texas State University

报告时间：2020年6月30日 9:00-10:00

报告地点：Zoom 会议

https://cernet.zoom.com.cn/j/64834601164

会议 ID：648 3460 1164

校内联系人：贾继伟 jiajiwei@jlu.edu.cn

报告摘要：

We construct structure preserving finite element methods for the magnetohydrodynamics (MHD) system. The newly proposed scheme precisely preserves magnetic helicity, cross helicity and fluids helicity. In addition, we show that the scheme also preserves the energy law and the magnetic Gauss law. Our construction is made from the discrete differential forms fitting in a discrete de Rham complex. We present a couple of numerical tests to confirm the theoretical development as well as some related ongoing research. This is a joint work with Kaibo Hu (University of Minnesota) and Jinchao Xu (Penn State).

报告人简介：

Young Ju Lee is a Tenured Associate Professor at Texas State University, Mathematics Department. He obtained his Ph.D degree at Penn State and had a prior faculty position at UCLA and Rutgers, The State University of New Jersey. His expertise is at the development of fast solver for partial differential equations. His current research focuses on development of structure preserving finite element discretization for PDE systems. His research has been funded by National Science Foundation and American Chemical Society. The current research is being funded by Korea Brain Pool program by National Research Foundation of Korea.