報告題目：Helicity Conservative Finite Element Schemes for Magnetic Hydrodynamic Equations (MHD)
報 告 人：Young Ju Lee, Associate Professor, Texas State University
報告時間：2020年6月30日 9:00-10:00
報告地點：Zoom 會議
https://cernet.zoom.com.cn/j/64834601164
會議 ID：648 3460 1164
校内聯系人：賈繼偉 jiajiwei@jlu.edu.cn
報告摘要：
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).
報告人簡介：
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.
